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["Wählen Sie das Tabellenblatt 'Polygon' um mit der Dateneingabe zu beginnen."]
["Aequometer 4.0"]
[null,null,null,null,null,null,null,null,"Version 4.0.08"]
["Berechnung von polaren Messungen und Export als Shapefiles"]
[null,null,null,null,null,null,null,null,"Sprache / Language:"]
[null,"Copyright © 2005 - 2021 Johannes Loose <johannes.loose@gmail.com>"]
[]
[]
[]
["    Dieses Programm ist freie Software. Sie können es unter den Bedingungen der"]
["    GNU General Public License, wie von der Free Software Foundation"]
["    veröffentlicht, weitergeben und/oder modifizieren, entweder gemäß Version 2"]
["    der Lizenz oder (nach Ihrer Option) jeder späteren Version."]
["   "]
["    Die Veröffentlichung dieses Programms erfolgt in der Hoffnung, daß es Ihnen",null,null,null,null,null,null,null,null,"Geschützte Originalversion, nur Felder in denen Benutzereingaben erwartet werden, sind frei gegeben."]
["    von Nutzen sein wird, aber OHNE IRGENDEINE GARANTIE, sogar ohne die"]
["    implizite Garantie der MARKTREIFE oder der VERWENDBARKEIT FÜR EINEN"]
["    BESTIMMTEN ZWECK. Details finden Sie in der GNU General Public License."]
["   "]
["    Sie sollten eine Kopie der GNU General Public License zusammen mit diesem"]
["    Programm erhalten haben. Falls nicht, schreiben Sie an die Free Software"]
["    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA."]
[]
["Ein Programm zur Auswertung polar vermessener Geometrien."]
[]
["Dieses Programm dient dazu, mit Kompass und Bandmaß aufgenommene Flächen auszuwerten, darzustellen"]
["und zu speichern. Die Geometrie kann als ESRI Shapefile gespeichert werden."]
[]
["* Die Auswertung der Geometrien erfolgt im Tabellenblatt 'Polygon'."]
[]
["* Als Eingabewerte werden gemessene Vektoren erwartet:"]
[null,"* Richtung: Die Richtung gegen Nord vom Standpunkt zum Zielpunkt."]
[null,"* Strecke: Der Abstand vom Standpunkt zum Zielpunkt."]
[null,"* Neigung: Die Geländeneigung vom Standpunkt zum Zielpunkt."]
[]
[null,"Die Einheiten der Winkelmaße (Richtung und Neigung) müssen vor  der Eingabe festgelegt werden."]
[null,"Möglich sind für die Strecke: Grad (Vollkreis = 360 Teile) oder Gon (Vollkreis = 400 Teile),"]
[null,"Für die Neigung Grad, Gon oder Neigungsprozent. 'a oder z' legt fest, ob der Azimutalwinkel"]
[null,"(0° ist gerade voraus) oder der Zenitalwinkel (0° ist oben) verwendet wird."]
[]
["* Die Auswahl des Messverfahrens erfolgt in der Zelle A1."]
[]
[]
[]
[null,"Geschlossenes Polygon mit streckenproportionaler Fehlerverteilung"]
[null,"Die aufzunehmende Fläche wird einmal von Punkt zu Punkt messend"]
[null,"umschritten. Der letzte Vektor muss am Startpunkt enden, um das"]
[null,"Polygon zu schließen. Der Abschlussfehler wird streckenproportional"]
[null,"verteilt. Der angezeigte Längenfehler entspricht der Distanz zwischen dem"]
[null,"gemessenen letzten Punkt und dem Startpunkt, also der Länge des"]
[null,"schließenden Fehlervektors. Der angezeigte Flächenfehlerwert 'Verbesserung' "]
[null,"ist ein Schätzwert, der sich aus der Differenz der Flächen mit und ohne Fehler- "]
[null,"verteilung ergibt. Der 'Schätzer' wird mit der Gaußschen Fehlerfortpflanzung"]
[null,"berechnet. Diese Werte dienen nur zum Erkennen grober Fehler und entsprechen"]
[null,"nicht dem wahren Flächenfehler."]
[]
[null,"Offenes Polygon"]
[null,"Das Messverfahren entspricht im Wesentlichen dem des geschlossenen Polygons,"]
[null,"nur dass der letzte Vektor nicht gemessen wird. Der Schlussvektor wird berechnet"]
[null,"und angezeigt. Es erfolgt keine Fehlerverteilung"]
[]
[null,"Zentrale Aufstellung"]
[null,"Bei diesem Messverfahren steht der Aufnehmende innerhalb oder ausserhalb"]
[null,"der Fläche. Von einem festen Standpunkt aus werden alle Messpunkte erhoben."]
[null,"Hier ist besonders auf die Aufnahmereihenfolge zu achten. Die Messwerte"]
[null,"müssen in der Reihenfolge der Eckpunkte der Fläche aufgenommen werden. Um die"]
[null,"Messgenauigkeit zu überprüfen, müssen zusätzlich Spannmaße (hier gestrichelt ein-"]
[null,"gezeichnet) gemessen werden. Die Auswertung der Messgenauigkeit erfolgt im "]
[null,"Tabellenblatt 'Polar'."]
[]
[]
[null,"Linienzug"]
[null,"Ein Linienzug wird gemessen und eingegeben wie ein offenes Polygon. Als Ergebnis "]
[null,"wird die Länge der gemessenen Strecke berechnet. Eine Fehlerberechnung und -verteilung"]
[null,"kann nur zwischen zwei bekannten Punkten erfolgen. Mit der Berechnungsmethode"]
[null,"'Linienzug mit mehreren bekannten Einhängepunkten' ist dies möglich. Die Koordinaten"]
[null,"der bekannten Punkte werden in der Spalte 'Rechtswert_2' und 'Hochwert2' in ein-"]
[null,"gegeben. Hierzu ist der Expertenmodus zu aktivieren."]
[]
[]
[null,"Orthogonalverfahren"]
[null,"Beim Orthogonalverfahren werden ausgehend von einer Grundlinie Lote auf die "]
[null,"Messpunkte gefällt. Die Eingabe der Messwerte erfolgt im Tabellenblatt 'Orthogonal'."]
[null,"Als Eingabewerte werden Streckenlängen erwartet. In der Spalte 'Grundlinie' werden"]
[null,"die Streckenlängen wahlweise fortlaufend (als Abstand zum Startpunkt) oder "]
[null,"als Bindemaße (Abstand von Punkt zu Punkt) gemessen. Der Winkel der"]
[null,"Grundlinie muss nicht konstant sein. Das Lot der Hilfslinie wird immer auf den vorher-"]
[null,"gehenden Vektor der Grundlinie gefällt. In der Spalte 'Hilfslinien' werden die "]
[null,"Streckenlängen der Lote eingegeben. Nach der Eingabe erfolgt die Aus-"]
[null,"wertung im Tabellenblatt 'Polygon'. Hierzu werden entweder die gesamten "]
[null,"Vektoren oder nur die Koordinaten der Fußpunkte und der Messpunkte durch"]
[null,"Klick auf die Schaltfläche 'Übertragen' in das Tabellenblatt 'Polygon' geschrieben."]
[null,"Eine automatische Überprüfung der Messgenauigkeit ist hier nicht vorgesehen."]
[null,"Es wird empfohlen, wichtige Maße über zusätzlich eingemessene Vektoren und "]
[null,"Dreiecksberechnungen zu überprüfen. Hier kann das Tabellenblatt 'Polygon'"]
[null,"hilfreich sein."]
[]
[]
[null,"Der Expertenmodus"]
[null,"Im Expertenmodus stehen zwei weitere Spalten zur Verfügung.  Hier können Punktkoordinaten"]
[null,"angegeben werden, die direkt in die Koordinatenliste übernommen werden. Sollten in der gleichen Zeile "]
[null,"Messwerte stehen, werden diese ignoriert. Nachfolgende Messwerte beziehen sich auf diesen Punkt."]
[null,"So ist es möglich Geometrien darzustellen von denen mehrere Punkte bekannt sind. "]
[]
[null,"Sollen mehrere, getrennte Geometrien dargestellt werden, so sind die Marker zu aktivieren. Diese "]
[null,"Schaltflächen, die sich in der letzten Spalte befinden, markieren in geklicktem Zustand (rot) den"]
[null,"Startpunkt einer neuen Geometrie."]
[]
[null,"Im Expertenmodus findet in den Berechnungsmodi 'offenes Polygon' und 'geschlossenes Polygon' weder eine"]
[null,"Berechnung des Schlussvektors, noch eine Fehlerverteilung statt. Die Anzeige der Flächenberechnung ist"]
[null,"deaktiviert. Im Expertenmodus ist daher besonders darauf zu achten, dass eingegebene Polygone geschlossen sind."]
[null,"Dies ist der Fall, wenn der erste und letzte Punkt der Koordinatenliste identisch sind. Zum korrekten Export als"]
[null,"Shapedatei müssen Polygone die ihre Fläche innen haben, im Uhrzeigersinn orientiert sein."]
[]
[null,"Die Option 'Punkte' wirkt sich nur auf die Darstellung und auf den Export als Shapedatei aus. Die Berechnungen "]
[null,"werden nicht beeinflusst."]
[]
[null,"Office 2007 Patch: Da Excel 2007 das Lesen und Schreiben von .dbf Dateien nicht mehr unterstützt, werden die"]
[null,"Attribute zu den Geometrien ersatzweise als .xls Datei exportiert.  Ab Office 2019 wird .xlsx genutzt."]
[null,"Diese Dateien können mit Hilfe anderer Werkzeuge in das .dbf Datenbankformat umgewandelt werden."]
[]
[]
[null,"Zeichnung kalibrieren und Druck"]
[null,"Die Größe der Zeichnung im Ausdruck ist u.a. vom Druckermodell und -treiber abhängig. Ist ein maßstabs-"]
[null,"gerechter Ausdruck gefordert, kann eine manuelle Kalibrierung der Diagrammgröße erfolgen. Mit Hilfe der"]
[null,"Funktion 'Zeichnung kalibrieren' können die Größe des Diagramms angepasst und diese Werte gespeichert werden."]
[]
[null,"Vor dem Drucken kann in einem Fenster ausgewählt werden, ob die gesamten Daten oder nur das Diagramm gedruckt "]
[null,"werden sollen. Wird nur das Diagramm gedruckt, so wird die Originalgröße nicht verändert. Beim Ausdruck der gesamten "]
[null,"Daten wird die Ansicht verkleinert, damit die Daten auf ein DIN A 4 Blatt passen. Das Diagramm wird vor dem"]
[null,"Drucken automatisch auf 100% vergrößert und danach wieder auf Originalgröße zurückgesetzt. Da dieser Vorgang "]
[null,"jedoch nur näherungsweise funktioniert, ist die Kalibrierung hier separat zu prüfen."]

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["Polare Aufnahme einer Fläche als geschlossenes Ringpolygon mit streckenproportionaler Fehlerverteilung"]
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["AntragsNr",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND($A$1=LXE,$P$70 =\"normal\"),\"Expertenmodus aktivieren zur Eingabe der Einhängepunkte\",IF($P$70<>\"normal\",IF($A$1=PGG,\"Fehlerverteilung deaktiviert\",IF($A$1=PGO,\"Berechnung Schlussvektor deaktiviert\",IF($A$1=LXE,\"Streckenproportionale Fehlerverteilung\",\"\"))),\"\"))","v":""}]
["Antragsteller",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND($A$1=LXE,$P$70 =\"normal\"),\"Enable Expert mode to enter known points\",IF($P$70<>\"normal\",IF($A$1=PGG,\"Error distribution disabled\",IF($A$1=PGO,\"Calculation of closing vector disabled\",IF($A$1=LXE,\"Distance proportional error distribution\",\"\"))),\"\"))","v":""}]
["Massnahme"]
["Aufnehmend"]
["Datum"]
["FlNr/Dist"]
["Gde/Abt"]
["Gmkg/Best"]
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[{"$f":"IF($P$70=\"normal\",IF(OR($A$1=LNE,$A$1=LXE),\"Strecke\",\"Umfang\"),IF($A$1=LXE,\"Strecke\",\"NoData2\"))","v":"Umfang"},{"$f":"IF($A$1=LXE,SUM(Umfang)/1000,IF(OR($P$70<>\"normal\",AND($A$1=PGG, $F$36=\"\"),AND(OR($A$1=PGO,$A$1=PGZ), $F$35=\"\"),AND($A$1=LNE, $F$34=\"\")), \"\",SUM(Umfang)/1000))","v":""},{"$f":"IF(OR($P$70=\"normal\",$A$1=LXE),\"km\",\"\")","v":"km"}]
[]
["Quelle","Aequometer v 4.0"]
["Prfsum"]
["Bemerkung"]
[]
[]
[]
[]
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[{"$f":"IF(AND($A$1=LXE,$P$70 <>\"normal\"),\"Mittlerer Fehler:\",IF($P$70=\"normal\",IF(AND($A$1=PGG,$F$36<>\"\"),(\"Schätzer:\"),IF(AND($A$1=PGZ,Polar!J4<>\"\"),\"Mittlerer Fehler:\",\"\")),\"\"))","v":""},{"$f":"IF(AND($A$1=LXE,$P$70 <>\"normal\"),IF(ISNUMBER(AO33),ROUND(AO33*100,1)& \" %\",\"\"),IF(AND(SUM(Horizontaldistanz)<>0,$P$70 =\"normal\",$F$36<>\"\"),IF(AND($A$1=PGZ,Polar!J4<>\"\"),ROUND(Polar!J4*100,1)& \" %\", IF($A$1=PGG, ROUND(BQ35/$P$53*100,1)&\" %\",\"\")),\"\"))","v":""}]
[{"$f":"IF(AND($A$1=$Q$55,$P$70=\"normal\",$F$36<>\"\"),(\"'Verbesserung':\"),(\"\"))","v":""},{"$f":"IF(AND($A$1=PGG,$F$36<>\"\",$B$11<>0,$P$70 =\"normal\"),ROUND(ABS($AC$34-$P$53)/$P$53*100,2)&\" %\",\"\")","v":""},{"$f":"IF(AND($A$1=$Q$55,$P$70=\"normal\",$F$36<>\"\"),(\"geschätzt\"),(\"\"))","v":""}]
["Winkelmaß:","Grad"]
["(Richtung)"]
["Winkelmaß:","Grad"]
["(Neigung)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," "]
["a oder z?","a"]
["Diag. opt(j/n)?","J"]
["Man. Maß.:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Flächenberechnung PGO",null,null,"Berechnung Linienzug mit mehreren Einhängepunkten",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schätzer",null,null,null,"Fehlerberechnung nach Gauss'scher Fehlerfortpflanzung"]
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["Überprüfung der zentralen Aufstellung anhand von Spannmaßen"]
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[null,null,null,null,{"$f":"IF(AND(Polygon!$A$1=PGZ,NOT(ISBLANK(Polygon!B129))),Polygon!B129,\"\")","v":""},{"$f":"IF(AND(Polygon!$A$1=PGZ,NOT(ISBLANK(Polygon!B130))),IF(Polygon!$S129=1,$E$9,Polygon!B130),\"\")","v":""},{"$f":"IF(Polygon!$A$1=PGZ,IF(Polygon!$S129=1,Polygon!$R$134,IF(NOT(Polygon!R130=0),Polygon!R130,\"\")),\"\")","v":""},null,"",""]
[null,null,null,null,{"$f":"IF(AND(Polygon!$A$1=PGZ,NOT(ISBLANK(Polygon!B130))),Polygon!B130,\"\")","v":""},{"$f":"IF(AND(Polygon!$A$1=PGZ,NOT(ISBLANK(Polygon!B131))),IF(Polygon!$S130=1,$E$9,Polygon!B131),\"\")","v":""},{"$f":"IF(Polygon!$A$1=PGZ,IF(Polygon!$S130=1,Polygon!$R$134,IF(NOT(Polygon!R131=0),Polygon!R131,\"\")),\"\")","v":""},null,"",""]
[null,null,null,null,{"$f":"IF(AND(Polygon!$A$1=PGZ,NOT(ISBLANK(Polygon!B131))),Polygon!B131,\"\")","v":""},{"$f":"IF(AND(Polygon!$A$1=PGZ,NOT(ISBLANK(Polygon!B132))),IF(Polygon!$S131=1,$E$9,Polygon!B132),\"\")","v":""},{"$f":"IF(Polygon!$A$1=PGZ,IF(Polygon!$S131=1,Polygon!$R$134,IF(NOT(Polygon!R132=0),Polygon!R132,\"\")),\"\")","v":""},null,"",""]
[null,null,null,null,{"$f":"IF(AND(Polygon!$A$1=PGZ,NOT(ISBLANK(Polygon!B132))),Polygon!B132,\"\")","v":""},{"$f":"IF(AND(Polygon!$A$1=PGZ,NOT(ISBLANK(Polygon!B133))),IF(Polygon!$S132=1,$E$9,Polygon!B133),\"\")","v":""},{"$f":"IF(Polygon!$A$1=PGZ,IF(Polygon!$S132=1,Polygon!$R$134,IF(NOT(Polygon!R133=0),Polygon!R133,\"\")),\"\")","v":""},null,"",""]

{"sheet":"Trigonometrie","index":3,"n_rows":115,"n_cols":21,"rows_kept":115,"cut":false,"hidden":false,"merged":[]}
["Berechnungen im Dreieck"]
[]
[null,"Eingabe",null,null,"Ausgabe"]
[null,"Strecken und Winkel",null,null,"Strecken und Winkel"]
["a",null,null,"a",{"$f":"ddda","v":""}]
["b",null,null,"b",{"$f":"dddb","v":""}]
["c",null,null,"c",{"$f":"dddc","v":""}]
["α",null,null,"α",{"$f":"dddalpha","v":""}]
["β",null,null,"β",{"$f":"dddbeta","v":""}]
["γ",null,null,"γ",{"$f":"dddgamma","v":""}]
[]
[null,"Rechtswert","Hochwert",null,"Rechtswert","Hochwert"]
["A",null,null,"A",{"$f":"IF(OR($U$59<>0,dFallKO = 4),dddAX,\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),dddAY,\"\")","v":""}]
["B",null,null,"B",{"$f":"IF(OR($U$59<>0,dFallKO = 4),dddBX,\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),dddBY,\"\")","v":""}]
["C",null,null,"C",{"$f":"IF(OR($U$59<>0,dFallKO = 4),dddCX,\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),dddCY,\"\")","v":""}]
[]
[null,null,null,null,"Höhen [m]"]
["Winkelmaß:","Grad",null,"ha",{"$f":"IF(OR($U$59<>0,dFallKO = 4),dddb*SIN(dddgamma*PI()/$E$88),\"\")","v":""}]
["Beschriftung:","Ohne",null,"hb",{"$f":"IF(OR($U$59<>0,dFallKO = 4),dddc*SIN(dddalpha*PI()/$E$88),\"\")","v":""}]
["Drehung",null,null,"hc",{"$f":"IF(OR($U$59<>0,dFallKO = 4),ddda*SIN(dddbeta*PI()/$E$88),\"\")","v":""}]
[null,null,null,null,"Umfang [m]"]
[null,null,null,"u",{"$f":"IF(OR($U$59<>0,dFallKO = 4),ddda+dddb+dddc,\"\")","v":""}]
[null,null,null,null,"Fläche [m²]"]
[null,null,null,"A",{"$f":"IF(OR($U$59<>0,dFallKO = 4),ddda*E18/2,\"\")","v":""}]
[]
[null,"Rechenweg:"]
[]
[null,{"$f":"IF($U$59<>0,LOOKUP(1,$C$59:$U$59,C61:U61),IF(dFallKO=4,$D99,\"\"))","v":""},null,null,null,null,null,{"$f":"IF($U$59<>0,\"ha = b * sin(γ)\",\"\")","v":""}]
[null,{"$f":"IF($U$59<>0,LOOKUP(1,$C$59:$U$59,C62:U62),IF(dFallKO=4,$D100,\"\"))","v":""},null,null,null,null,null,{"$f":"IF($U$59<>0,\"hb = c * sin(α)\",\"\")","v":""}]
[null,{"$f":"IF($U$59<>0,LOOKUP(1,$C$59:$U$59,C63:U63),IF(dFallKO=4,$D101,\"\"))","v":""},null,null,null,null,null,{"$f":"IF($U$59<>0,\"hc = a * sin(β)\",\"\")","v":""}]
[null,{"$f":"IF($U$59<>0,LOOKUP(1,$C$59:$U$59,C64:U64),IF(dFallKO=4,IF($C102<0,$D102& \" + \" &$E$88,$D102),\"\"))","v":""},null,null,{"$f":"IF(dFallKO=4,$D105,\"\")","v":""},null,null,{"$f":"IF($U$59<>0,\"u = a + b + c\",\"\")","v":""}]
[null,{"$f":"IF($U$59<>0,LOOKUP(1,$C$59:$U$59,C65:U65),IF(dFallKO=4,IF($C103<0,$D103& \" + \" &$E$88,$D103),\"\"))","v":""},null,null,{"$f":"IF(dFallKO=4,$D106,\"\")","v":""},null,null,{"$f":"IF($U$59<>0,\"A = a^2 * ha / 2\",\"\")","v":""}]
[null,{"$f":"IF($U$59<>0,LOOKUP(1,$C$59:$U$59,C66:U66),IF(dFallKO=4,IF($C104<0,$D104& \" + \" &$E$88,$D104),\"\"))","v":""},null,null,{"$f":"IF(dFallKO=4,$D107,\"\")","v":""}]
[]
[null,{"$f":"IF(AND($U$59<>0,dFallKO<9),LOOKUP(1,$B$79:$R$79,B92:R92),\"\")","v":""},null,null,{"$f":"IF(AND($U$59<>0,dFallKO<9),LOOKUP(1.5,$B$79:$R$79,B92:R92),\"\")","v":""}]
[null,{"$f":"IF(AND($U$59<>0,dFallKO<9),LOOKUP(1,$B$79:$R$79,B93:R93),\"\")","v":""},null,null,{"$f":"IF(AND($U$59<>0,dFallKO<9),LOOKUP(1.5,$B$79:$R$79,B93:R93),\"\")","v":""}]
[null,{"$f":"IF(AND($U$59<>0,dFallKO<9),LOOKUP(1,$B$79:$R$79,B94:R94),\"\")","v":""},null,null,{"$f":"IF(AND($U$59<>0,dFallKO<9),LOOKUP(1.5,$B$79:$R$79,B94:R94),\"\")","v":""}]
[]
[null,{"$f":"IF(AND(dFallKO>5,dFallKO<9,$U$59<>0),LOOKUP(1,$B$79:$R$79,B95:R95),\"\")","v":""}]
[]
[]
[]
["Fälle, in denen das Dreieck durch drei Werte aus Winkel oder Streckenlänge definiert ist"]
[null,null,"SSS","SWS",null,null,"SWW",null,null,"WSW",null,null,"WWS",null,null,"WsS","SsW","WsS","SsW","WsS","SsW"]
[null,"a",true,false,true,true,true,true,true,false,false,false,false,false,false,true,true,true,true,false,false]
[null,"b",true,true,false,true,false,false,false,true,true,true,false,false,false,true,true,false,false,true,true]
[null,"c",true,true,true,false,false,false,false,false,false,false,true,true,true,false,false,true,true,true,true]
[null,"α",false,true,false,false,true,true,false,true,true,false,true,true,false,true,false,true,false,false,false]
[null,"β",false,false,true,false,true,false,true,true,false,true,true,false,true,false,true,false,false,true,false]
[null,"γ",false,false,false,true,false,true,true,false,true,true,false,true,true,false,false,false,true,false,true]
["Vergleich mit vorhandenen Werten"]
[null,"ist vorhanden","SSS","SWS",null,null,"SWW",null,null,"WSW",null,null,"WWS",null,null,"WsS","SsW","WsS","SsW","WsS","SsW"]
["a",{"$f":"IF(OR(dFallKO=6,NOT(ISBLANK(da))),TRUE,FALSE)","v":false},{"$f":"EXACT($B53,C45)","v":false},true,false,false,false,false,false,true,true,true,true,true,true,false,false,false,false,true,true]
["b",{"$f":"IF(OR(dFallKO=7,NOT(ISBLANK(db))),TRUE,FALSE)","v":false},{"$f":"EXACT($B54,C46)","v":false},false,true,false,true,true,true,false,false,false,true,true,true,false,false,true,true,false,false]
["c",{"$f":"IF(OR(dFallKO=8,NOT(ISBLANK(dc))),TRUE,FALSE)","v":false},{"$f":"EXACT($B55,C47)","v":false},false,false,true,true,true,true,true,true,true,false,false,false,true,true,false,false,false,false]
["α",{"$f":"NOT(ISBLANK(B8))","v":false},{"$f":"EXACT($B56,C48)","v":true},false,true,true,false,false,true,false,false,true,false,false,true,false,true,false,true,true,true]
["β",{"$f":"NOT(ISBLANK(B9))","v":false},{"$f":"EXACT($B57,C49)","v":true},true,false,true,false,true,false,false,true,false,false,true,false,true,false,true,true,false,true]
["γ",{"$f":"NOT(ISBLANK(B10))","v":false},{"$f":"EXACT($B58,C50)","v":true},true,true,false,true,false,false,true,false,false,true,false,false,true,true,true,false,true,false]
["Auswahl Fall bei 1",null,{"$f":"IF(AND(C53:C58),1,0)","v":0},{"$f":"IF(C59>0,C59+1,IF(AND(D53:D58),1,0))","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["Ergebnis Fall",null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]
["Formel","a",{"$f":"IF(dFallKO=6,\"a = sqr(Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},"a = sqr(b^2 + c^2 - 2 * b * c* cos(α))",{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},"a = b * sin(α) / sin(β)","a = b * sin(α) / sin(β)","a = b * sin(α) / sin(β)","a = c * sin(α) / sin(γ)","a = c * sin(α) / sin(γ)","a = c * sin(α) / sin(γ)",{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},{"$f":"IF(dFallKO=6,\"a = sqr((Cx - Bx)^2 + (Cy - By)^2)\",\"a = \" &da)","v":"a = "},"a = c * sin(α) / sin(γ)","a = c * sin(α) / sin(γ)"]
[null,"b",{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},"b = sqr(a^2 + c^2 - 2 * a * c* cos(β))",{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},"b = a * sin(β) / sin(α)","b = a * sin(β) / sin(α)","b = a * sin(β) / sin(α)",{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},"b = c * sin(β) / sin(γ)","b = c * sin(β) / sin(γ)","b = c * sin(β) / sin(γ)",{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},"b = c * sin(β) / sin(γ)",{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "},{"$f":"IF(dFallKO=7,\"b = sqr((Cx - Ax)^2 + (Cy - Ay)^2)\",\"b = \" &db)","v":"b = "}]
[null,"c",{"$f":"IF(dFallKO=8,\"c = sqr(Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},{"$f":"IF(dFallKO=8,\"c = sqr(Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},{"$f":"IF(dFallKO=8,\"c = sqr(Bx  -Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},"c = sqr(a^2 + b^2 - 2* a *b *cos(γ))","c = a * sin(γ) / sin(α)","c = a * sin(γ) / sin(α)","c = a * sin(γ) / sin(α)","c = b * sin(γ) / sin(β)","c = b * sin(γ) / sin(β)","c = b * sin(γ) / sin(β)",{"$f":"IF(dFallKO=8,\"c = sqr((Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},{"$f":"IF(dFallKO=8,\"c = sqr((Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},{"$f":"IF(dFallKO=8,\"c = sqr((Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},"c = b * sin(γ) / sin(β)","c = b * sin(γ) / sin(β)",{"$f":"IF(dFallKO=8,\"c = sqr((Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},{"$f":"IF(dFallKO=8,\"c = sqr((Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},{"$f":"IF(dFallKO=8,\"c = sqr((Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "},{"$f":"IF(dFallKO=8,\"c = sqr((Bx - Ax)^2 + (By - Ay)^2)\",\"c = \" &dc)","v":"c = "}]
[null,"α","α = arccos((a^2 - b^2 - c^2) / (-2 * b * c))",{"$f":" \"α = \" &dalpha","v":"α = "},"α = arccos((a^2 - b^2 - c^2) / (-2 * b * c))","α = arccos((a^2 - b^2 - c^2) / (-2 * b * c))",{"$f":" \"α = \" &dalpha","v":"α = "},{"$f":" \"α = \" &dalpha","v":"α = "},{"$f":"\"α =\"&$E$88&\" - β - γ\"","v":"α =180 - β - γ"},{"$f":" \"α = \" &dalpha","v":"α = "},{"$f":" \"α = \" &dalpha","v":"α = "},{"$f":"\"α =\"&$E$88&\" - β - γ\"","v":"α =180 - β - γ"},{"$f":" \"α = \" &dalpha","v":"α = "},{"$f":" \"α = \" &dalpha","v":"α = "},{"$f":"\"α =\"&$E$88&\" - β - γ\"","v":"α =180 - β - γ"},{"$f":" \"α = \" &dalpha","v":"α = "},"α = arcsin(a * sin(β) / b)",{"$f":" \"α = \" &dalpha","v":"α = "},"α = arcsin(a * sin(γ) / c)",{"$f":"\"α =\"&$E$88&\" - β - γ\"","v":"α =180 - β - γ"},{"$f":"\"α =\"&$E$88&\" - β - γ\"","v":"α =180 - β - γ"}]
[null,"β","β = arccos((b^2 - c^2 - a^2) / (-2 * c * a))","β = arccos((b^2 - c^2 - a^2) / (-2 * c * a))",{"$f":" \"β = \" &dbeta","v":"β = "},"β = arccos((b^2 - c^2 - a^2) / (-2 * c * a))",{"$f":" \"β = \" &dbeta","v":"β = "},{"$f":"\"β =\"&$E$88&\" - α - γ\"","v":"β =180 - α - γ"},{"$f":" \"β = \" &dbeta","v":"β = "},{"$f":" \"β = \" &dbeta","v":"β = "},{"$f":"\"β =\"&$E$88&\" - α - γ\"","v":"β =180 - α - γ"},{"$f":" \"β = \" &dbeta","v":"β = "},{"$f":" \"β = \" &dbeta","v":"β = "},{"$f":"\"β =\"&$E$88&\" - α - γ\"","v":"β =180 - α - γ"},{"$f":" \"β = \" &dbeta","v":"β = "},"β = arcsin(b * sin(α) / a)",{"$f":" \"β = \" &dbeta","v":"β = "},{"$f":"\"β =\"&$E$88&\" - α - γ\"","v":"β =180 - α - γ"},{"$f":"\"β =\"&$E$88&\" - α - γ\"","v":"β =180 - α - γ"},{"$f":" \"β = \" &dbeta","v":"β = "},"β = asin(b * sin(γ) / c)"]
[null,"γ","γ = arccos((c^2 - a^2 - b^2) / (-2 * a * b))","γ = arccos((c^2 - a^2 - b^2) / (-2 * a * b))","γ = arccos((c^2 - a^2 - b^2) / (-2 * a * b))",{"$f":" \"γ = \" &dgamma","v":"γ = "},{"$f":"\"γ =\"&$E$88&\" - α - β\"","v":"γ =180 - α - β"},{"$f":" \"γ = \" &dgamma","v":"γ = "},{"$f":" \"γ = \" &dgamma","v":"γ = "},{"$f":"\"γ =\"&$E$88&\" - α - β\"","v":"γ =180 - α - β"},{"$f":" \"γ = \" &dgamma","v":"γ = "},{"$f":" \"γ = \" &dgamma","v":"γ = "},{"$f":"\"γ =\"&$E$88&\" - α - β\"","v":"γ =180 - α - β"},{"$f":" \"γ = \" &dgamma","v":"γ = "},{"$f":" \"γ = \" &dgamma","v":"γ = "},{"$f":"\"γ =\"&$E$88&\" - α - β\"","v":"γ =180 - α - β"},{"$f":"\"γ =\"&$E$88&\" - α - β\"","v":"γ =180 - α - β"},"γ = arcsin(c * sin(α) / a)",{"$f":" \"γ = \" &dgamma","v":"γ = "},"γ = arcsin(c * sin(β) / b)",{"$f":" \"γ = \" &dgamma","v":"γ = "}]
[]
["Berechnung Dreieck"]
[null,"a",{"$f":"IF(AND(C$53:C$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(D53:D58),SQRT(POWER(ddb,2)+POWER(ddc,2)-2*ddb*ddc*COS(dalpha*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND(E$53:E$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(F$53:F$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(G$53:G$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(H$53:H$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(I$53:I$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(J$53:J$58),ddb*SIN(ddalpha*PI()/$E$88)/SIN(ddbeta*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(K$53:K$58),ddb*SIN(ddalpha*PI()/$E$88)/SIN(ddbeta*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(L$53:L$58),ddb*SIN(ddalpha*PI()/$E$88)/SIN(ddbeta*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(M$53:M$58),ddc*SIN(ddalpha*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(N$53:N$58),ddc*SIN(ddalpha*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(O$53:O$58),ddc*SIN(ddalpha*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(P$53:P$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(Q$53:Q$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(R$53:R$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(S$53:S$58),IF(dFallKO=6,dka,da),\"\")","v":""},{"$f":"IF(AND(T$53:T$58),ddc*SIN(ddalpha*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(U$53:U$58),ddc*SIN(ddalpha*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""}]
[null,"b",{"$f":"IF(AND(C$53:C$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(D$53:D$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(E53:E58),SQRT(POWER(dda,2)+POWER(ddc,2)-2*dda*ddc*COS(dbeta*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND(F$53:F$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(G$53:G$58),dda*SIN(ddbeta*PI()/$E$88)/SIN(ddalpha*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(H$53:H$58),dda*SIN(ddbeta*PI()/$E$88)/SIN(ddalpha*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(I$53:I$58),dda*SIN(ddbeta*PI()/$E$88)/SIN(ddalpha*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(J$53:J$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(K$53:K$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(L$53:L$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(M$53:M$58),ddc*SIN(ddbeta*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(N$53:N$58),ddc*SIN(ddbeta*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(O$53:O$58),ddc*SIN(ddbeta*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(P$53:P$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(Q$53:Q$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(R$53:R$58),ddc*SIN(ddbeta*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(S$53:S$58),ddc*SIN(ddbeta*PI()/$E$88)/SIN(ddgamma*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(T$53:T$58),IF(dFallKO=7,dkb,db),\"\")","v":""},{"$f":"IF(AND(U$53:U$58),IF(dFallKO=7,dkb,db),\"\")","v":""}]
[null,"c",{"$f":"IF(AND(C$53:C$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(D$53:D$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(E$53:E$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(F53:F58),SQRT(POWER(dda,2)+POWER(ddb,2)-2*dda*ddb*COS(dgamma*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND(G$53:G$58),dda*SIN(ddgamma*PI()/$E$88)/SIN(ddalpha*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(H$53:H$58),dda*SIN(ddgamma*PI()/$E$88)/SIN(ddalpha*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(I$53:I$58),dda*SIN(ddgamma*PI()/$E$88)/SIN(ddalpha*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(J$53:J$58),ddb*SIN(ddgamma*PI()/$E$88)/SIN(ddbeta*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(K$53:K$58),ddb*SIN(ddgamma*PI()/$E$88)/SIN(ddbeta*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(L$53:L$58),ddb*SIN(ddgamma*PI()/$E$88)/SIN(ddbeta*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(M$53:M$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(N$53:N$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(O$53:O$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(P$53:P$58),ddb*SIN(ddgamma*PI()/$E$88)/SIN(ddbeta*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(Q$53:Q$58),ddb*SIN(ddgamma*PI()/$E$88)/SIN(ddbeta*PI()/$E$88),\"\")","v":""},{"$f":"IF(AND(R$53:R$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(S$53:S$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(T$53:T$58),IF(dFallKO=8,dkc,dc),\"\")","v":""},{"$f":"IF(AND(U$53:U$58),IF(dFallKO=8,dkc,dc),\"\")","v":""}]
[null,"α",{"$f":"IF(AND(C53:C58),ACOS((POWER(dda,2)-POWER(ddb,2)-POWER(ddc,2))/(-2*ddb*ddc))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(D53:D58),dalpha,\"\")","v":""},{"$f":"IF(AND(E53:E58),ACOS((POWER(dda,2)-POWER(ddb,2)-POWER(ddc,2))/(-2*ddb*ddc))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(F53:F58),ACOS((POWER(dda,2)-POWER(ddb,2)-POWER(ddc,2))/(-2*ddb*ddc))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(G$53:G$58),dalpha,\"\")","v":""},{"$f":"IF(AND(H$53:H$58),dalpha,\"\")","v":""},{"$f":"IF(AND(I$53:I$58),$E$88-ddbeta-ddgamma,\"\")","v":""},{"$f":"IF(AND(J$53:J$58),dalpha,\"\")","v":""},{"$f":"IF(AND(K$53:K$58),dalpha,\"\")","v":""},{"$f":"IF(AND(L$53:L$58),$E$88-ddbeta-ddgamma,\"\")","v":""},{"$f":"IF(AND(M$53:M$58),dalpha,\"\")","v":""},{"$f":"IF(AND(N$53:N$58),dalpha,\"\")","v":""},{"$f":"IF(AND(O$53:O$58),$E$88-ddbeta-ddgamma,\"\")","v":""},{"$f":"IF(AND(P$53:P$58),dalpha,\"\")","v":""},{"$f":"IF(AND(Q$53:Q$58),ASIN(dda*SIN(ddbeta*PI()/$E$88)/ddb)*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(R$53:R$58),dalpha,\"\")","v":""},{"$f":"IF(AND(S$53:S$58),ASIN(dda*SIN(ddgamma*PI()/$E$88)/ddc)*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(T$53:T$58),$E$88-ddbeta-ddgamma,\"\")","v":""},{"$f":"IF(AND(U$53:U$58),$E$88-ddbeta-ddgamma,\"\")","v":""}]
[null,"β",{"$f":"IF(AND(C53:C58),ACOS((POWER(ddb,2)-POWER(ddc,2)-POWER(dda,2))/(-2*ddc*dda))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(D53:D58),ACOS((POWER(ddb,2)-POWER(ddc,2)-POWER(dda,2))/(-2*ddc*dda))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(E53:E58),dbeta,\"\")","v":""},{"$f":"IF(AND(F53:F58),ACOS((POWER(ddb,2)-POWER(ddc,2)-POWER(dda,2))/(-2*ddc*dda))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(G$53:G$58),dbeta,\"\")","v":""},{"$f":"IF(AND(H$53:H$58),$E$88-ddalpha-ddgamma,\"\")","v":""},{"$f":"IF(AND(I$53:I$58),dbeta,\"\")","v":""},{"$f":"IF(AND(J$53:J$58),dbeta,\"\")","v":""},{"$f":"IF(AND(K$53:K$58),$E$88-ddalpha-ddgamma,\"\")","v":""},{"$f":"IF(AND(L$53:L$58),dbeta,\"\")","v":""},{"$f":"IF(AND(M$53:M$58),dbeta,\"\")","v":""},{"$f":"IF(AND(N$53:N$58),$E$88-ddalpha-ddgamma,\"\")","v":""},{"$f":"IF(AND(O$53:O$58),dbeta,\"\")","v":""},{"$f":"IF(AND(P$53:P$58),ASIN(ddb*SIN(ddalpha*PI()/$E$88)/dda)*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(Q$53:Q$58),dbeta,\"\")","v":""},{"$f":"IF(AND(R$53:R$58),$E$88-ddalpha-ddgamma,\"\")","v":""},{"$f":"IF(AND(S$53:S$58),$E$88-ddalpha-ddgamma,\"\")","v":""},{"$f":"IF(AND(T$53:T$58),dbeta,\"\")","v":""},{"$f":"IF(AND(U$53:U$58),ASIN(ddb*SIN(ddgamma*PI()/$E$88)/ddc)*$E$88/PI(),\"\")","v":""}]
[null,"γ",{"$f":"IF(AND(C53:C58),ACOS((POWER(ddc,2)-POWER(dda,2)-POWER(ddb,2))/(-2*dda*ddb))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(D53:D58),ACOS((POWER(ddc,2)-POWER(dda,2)-POWER(ddb,2))/(-2*dda*ddb))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(E53:E58),ACOS((POWER(ddc,2)-POWER(dda,2)-POWER(ddb,2))/(-2*dda*ddb))*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(F53:F58),dgamma,\"\")","v":""},{"$f":"IF(AND(G$53:G$58),$E$88-ddalpha-ddbeta,\"\")","v":""},{"$f":"IF(AND(H$53:H$58),dgamma,\"\")","v":""},{"$f":"IF(AND(I$53:I$58),dgamma,\"\")","v":""},{"$f":"IF(AND(J$53:J$58),$E$88-ddalpha-ddbeta,\"\")","v":""},{"$f":"IF(AND(K$53:K$58),dgamma,\"\")","v":""},{"$f":"IF(AND(L$53:L$58),dgamma,\"\")","v":""},{"$f":"IF(AND(M$53:M$58),$E$88-ddalpha-ddbeta,\"\")","v":""},{"$f":"IF(AND(N$53:N$58),dgamma,\"\")","v":""},{"$f":"IF(AND(O$53:O$58),dgamma,\"\")","v":""},{"$f":"IF(AND(P$53:P$58),$E$88-ddalpha-ddbeta,\"\")","v":""},{"$f":"IF(AND(Q$53:Q$58),$E$88-ddalpha-ddbeta,\"\")","v":""},{"$f":"IF(AND(R$53:R$58),ASIN(ddc*SIN(ddalpha*PI()/$E$88)/dda)*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(S$53:S$58),dgamma,\"\")","v":""},{"$f":"IF(AND(T$53:T$58),ASIN(ddc*SIN(dbeta*PI()/$E$88)/ddb)*$E$88/PI(),\"\")","v":""},{"$f":"IF(AND(U$53:U$58),dgamma,\"\")","v":""}]
[]
["Berechnung Koordinaten"]
[null,"A gegeben",null,"B gegeben",null,"C gegeben",null,"ABC gegeben",null,"Keine gegeben",null,"BC = a gegeben",null,"CA = b gegeben",null,"AB = c gegeben",null,"Ungültig"]
["ist vorhanden",{"$f":"IF(AND(NOT(ISBLANK(dAX)),ISBLANK(dBX),ISBLANK(dCX)),TRUE,FALSE)","v":false},{"$f":"IF(AND(NOT(ISBLANK(dAY)),ISBLANK(dBY),ISBLANK(dCY)),TRUE,FALSE)","v":false},{"$f":"IF(AND(ISBLANK(dAX),NOT(ISBLANK(dBX)),ISBLANK(dCX)),TRUE,FALSE)","v":false},{"$f":"IF(AND(ISBLANK(dAY),NOT(ISBLANK(dBY)),ISBLANK(dCY)),TRUE,FALSE)","v":false},{"$f":"IF(AND(ISBLANK(dAX),ISBLANK(dBX),NOT(ISBLANK(dCX))),TRUE,FALSE)","v":false},{"$f":"IF(AND(ISBLANK(dAY),ISBLANK(dBY),NOT(ISBLANK(dCY))),TRUE,FALSE)","v":false},{"$f":"IF(AND(NOT(ISBLANK(dAX)),NOT(ISBLANK(dBX)),NOT(ISBLANK(dCX))),TRUE,FALSE)","v":false},{"$f":"IF(AND(NOT(ISBLANK(dAY)),NOT(ISBLANK(dBY)),NOT(ISBLANK(dCY))),TRUE,FALSE)","v":false},{"$f":"IF(AND(ISBLANK(dAX),ISBLANK(dBX),ISBLANK(dCX)),TRUE,FALSE)","v":true},{"$f":"IF(AND(ISBLANK(dAY),ISBLANK(dBY),ISBLANK(dCY)),TRUE,FALSE)","v":true},{"$f":"IF(AND(AND(ISBLANK(dAX),ISBLANK(dAY)),AND(NOT(ISBLANK(dBX)),NOT(ISBLANK(dBY))),AND(NOT(ISBLANK(dCX)),NOT(ISBLANK(dCY)))),TRUE,FALSE)","v":false},null,{"$f":"IF(AND(AND(NOT(ISBLANK(dAX)),NOT(ISBLANK(dAY))),AND(ISBLANK(dBX),ISBLANK(dBY)),AND(NOT(ISBLANK(dCX)),NOT(ISBLANK(dCY)))),TRUE,FALSE)","v":false},null,{"$f":"IF(AND(AND(NOT(ISBLANK(dAX)),NOT(ISBLANK(dAY))),AND(NOT(ISBLANK(dBX)),NOT(ISBLANK(dBY))),AND(ISBLANK(dCX),ISBLANK(dCY))),TRUE,FALSE)","v":false}]
["Auswahl Fall bei 1 ; 1,5",{"$f":"IF(AND(B78,C78),1,0)","v":0},{"$f":"IF(AND(B78,C78),1.5,0)","v":0},{"$f":"IF(AND(D78,E78),1,IF(C79<>0,C79+1,0))","v":0},{"$f":"IF(AND(D78,E78),1.5,IF(C79<>0,C79+1.5,0))","v":0},{"$f":"IF(AND(F78,G78),1,IF(E79<>0,E79+1,0))","v":0},{"$f":"IF(AND(F78,G78),1.5,IF(E79<>0,E79+1.5,0))","v":0},{"$f":"IF(AND(H78,I78),1,IF(G79<>0,G79+1,0))","v":0},{"$f":"IF(AND(H78,I78),1.5,IF(G79<>0,G79+1.5,0))","v":0},{"$f":"IF(AND(J78,K78),1,IF(I79<>0,I79+1,0))","v":1},{"$f":"IF(AND(J78,K78),1.5,IF(I79<>0,I79+1.5,0))","v":1.5},{"$f":"IF(L78,1,IF(K79=0,0,K79+1))","v":2.5},{"$f":"IF(L78,1.5,IF($J$79<>0,$J$79+1.5,0))","v":2.5},{"$f":"IF(N78,1,IF(L79=0,0,L79+1))","v":3.5},{"$f":"IF(N78,1.5,IF(L79<>0,L79+1.5,0))","v":4},{"$f":"IF(P78,1,IF(N79=0,0,N79+1))","v":4.5},{"$f":"IF(P78,1.5,IF(N79<>0,N79+1.5,0))","v":5},{"$f":"IF($P$79>0,$P$79+1,1)","v":5.5}]
[null,1,null,2,null,3,null,4,null,5,null,6,null,7,null,8,null,9]
[null,"X","Y","X","Y","X","Y","X","Y","X","Y","X","Y","X","Y","X","Y"]
["A",{"$f":"IF(AND(B$78:C$78),dAX,\"\")","v":""},{"$f":"IF(AND(B$78:C$78),dAY,\"\")","v":""},{"$f":"IF(AND($D$78:$E$78),D84+(dddb*COS((drot+$E$88+dddbeta-dddgamma)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($D$78:$E$78),E84+(dddb*SIN((drot+$E$88+dddbeta-dddgamma)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($F$78:$G$78),dCX+(dddb*COS((drot+dddgamma)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($F$78:$G$78),dCY+(dddb*SIN((drot+dddgamma)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($H$78:$I$78),dAX,\"\")","v":""},{"$f":"IF(AND($H$78:$I$78),dAY,\"\")","v":""},{"$f":"IF(AND(J$78:K$78),0,\"\")","v":0},{"$f":"IF(AND(J$78:K$78),0,\"\")","v":0},{"$f":"IF(L78,dCX+(dddb*COS((L85)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(L78,dCY+(dddb*SIN(( L85)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(NOT($N$78),\"\",dAX)","v":""},{"$f":"IF(NOT($N$78),\"\",dAY)","v":""},{"$f":"IF(NOT($P$78),\"\",dAX)","v":""},{"$f":"IF(NOT($P$78),\"\",dAY)","v":""}]
["B",{"$f":"IF(AND(B$78:C$78),dAX+(dddc*COS((drot+dddalpha)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND(B$78:C$78),dAY+(dddc*SIN((drot+dddalpha)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($D$78:$E$78),dBX,\"\")","v":""},{"$f":"IF(AND($D$78:$E$78),dBY,\"\")","v":""},{"$f":"IF(AND($F$78:$G$78),F82+(dddc*COS((drot+$E$88+dddgamma-dddalpha)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($F$78:$G$78),G82+(dddc*SIN((drot+$E$88+dddgamma-dddalpha)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($H$78:$I$78),dBX,\"\")","v":""},{"$f":"IF(AND($H$78:$I$78),dBY,\"\")","v":""},{"$f":"IF(AND(J$78:K$78),0+(dddc*COS((drot+dddalpha)*PI()/$E$88)),\"\")","v":{"$error":"#VALUE!"}},{"$f":"IF(AND(J$78:K$78),0+(dddc*SIN((drot+dddalpha)*PI()/$E$88)),\"\")","v":{"$error":"#VALUE!"}},{"$f":"IF(NOT($L$78),\"\",dBX)","v":""},{"$f":"IF(NOT($L$78),\"\",dBY)","v":""},{"$f":"IF(N78,dAX+(dddc*COS((N85)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(N78,dAY+(dddc*SIN((N85)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(NOT($P$78),\"\",dBX)","v":""},{"$f":"IF(NOT($P$78),\"\",dBY)","v":""}]
["C",{"$f":"IF(AND(B$78:C$78),B83+(ddda*COS((drot+$E$88+dddalpha-dddbeta)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND(B$78:C$78),C83+(ddda*SIN((drot+$E$88+dddalpha-dddbeta)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($D$78:$E$78),dBX+(ddda*COS((drot+dddbeta)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($D$78:$E$78),dBY+(ddda*SIN((drot+dddbeta)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(AND($F$78:$G$78),dCX,\"\")","v":""},{"$f":"IF(AND($F$78:$G$78),dCY,\"\")","v":""},{"$f":"IF(AND($H$78:$I$78),dCX,\"\")","v":""},{"$f":"IF(AND($H$78:$I$78),dCY,\"\")","v":""},{"$f":"IF(AND(J$78:K$78),J83+(ddda*COS((drot+$E$88+dddalpha-dddbeta)*PI()/$E$88)),\"\")","v":{"$error":"#VALUE!"}},{"$f":"IF(AND(J$78:K$78),K83+(ddda*SIN((drot+$E$88+dddalpha-dddbeta)*PI()/$E$88)),\"\")","v":{"$error":"#VALUE!"}},{"$f":"IF(NOT($L$78),\"\",dCX)","v":""},{"$f":"IF(NOT($L$78),\"\",dCY)","v":""},{"$f":"IF(NOT($N$78),\"\",dCX)","v":""},{"$f":"IF(NOT($N$78),\"\",dCY)","v":""},{"$f":"IF(P78,dBX+(ddda*COS((P85)*PI()/$E$88)),\"\")","v":""},{"$f":"IF(P78,dBY+(ddda*SIN((P85)*PI()/$E$88)),\"\")","v":""}]
[null,null,null,"Fallunterscheidungen",null,null,"Referenz für Drop Downs",null,null,null,null,{"$f":"SUM(L87:L90)","v":0},null,{"$f":"SUM(N87:N90)","v":0},null,{"$f":"SUM(P87:P90)","v":0}]
[null,null,null,"Fall gegeben:",{"$f":"IF($U$59<>0,LOOKUP(1,C59:U59,C60:U60),0)","v":0},null,"Grad","Ohne",null,"2 Pkte gegeben: δ zur korrekten Drehung des Dreiecks "]
[null,null,null,"Koord Fall",{"$f":"LOOKUP(1,$B$79:$R$79,$B$80:$R$80)","v":5},null,"Gon","Bezeichnung",null,"X1<X2",null,{"$f":"IF(dBX<dCX,$E$88+(ATAN((dCY-dBY)/(dCX-dBX))*$E$88/PI())-dddgamma,0)","v":0},null,{"$f":"IF(dCX<dAX,$E$88+(ATAN((dAY-dCY)/(dAX-dCX))*$E$88/PI())-dddalpha,0)","v":0},null,{"$f":"IF(dAX<dBX,$E$88+(ATAN((dBY-dAY)/(dBX-dAX))*$E$88/PI())-dddbeta,0)","v":0}]
[null,null,null,"Halbkreis",{"$f":"IF($B$18=$G$86,180,IF($B$18=$G$87,200,\"SetScale!\"))","v":180},null,null,"Werte",null,"X1>X2",null,{"$f":"IF(dBX>dCX,(ATAN((dCY-dBY)/(dCX-dBX))*$E$88/PI())-dddgamma,0)","v":0},null,{"$f":"IF(dCX>dAX,(ATAN((dAY-dCY)/(dAX-dCX))*$E$88/PI())-dddalpha,0)","v":0},null,{"$f":"IF(dAX>dBX,(ATAN((dBY-dAY)/(dBX-dAX))*$E$88/PI())-dddbeta,0)","v":0}]
[null,null,null,null,null,null,null,null,null,"X1=X2;Y1<Y2",null,{"$f":"IF(AND(dBX=dCX,dBY<dCY),($E$88*1.5)-dddgamma,0)","v":0},null,{"$f":"IF(AND(dCX=dAX,dCY<dAY),($E$88*1.5)-dddalpha,0)","v":0},null,{"$f":"IF(AND(dAX=dBX,dAY<dBY),($E$88*1.5)-dddbeta,0)","v":0}]
[null,null,null,null,null,null,null,null,null,"X1=X2;Y1>Y2",null,{"$f":"IF(AND(dBX=dCX,dBY>dCY),-($E$88*1.5)-dddgamma,0)","v":0},null,{"$f":"IF(AND(dCX=dAX,dCY>dAY),-($E$88*1.5)-dddalpha,0)","v":0},null,{"$f":"IF(AND(dAX=dBX,dAY>dBY),-($E$88*1.5)-dddbeta,0)","v":0}]
["Anzeige Formeln Koordinaten"]
[null,{"$f":"\"Ax = \"& dAX","v":"Ax = "},{"$f":"\"Ay = \"&dAY","v":"Ay = "},{"$f":"\"Ax = Cx + b* cos(\" & $E$88 &\" + β - γ)\"","v":"Ax = Cx + b* cos(180 + β - γ)"},{"$f":"\"Ay = Cy + b* sin(\" & $E$88 &\" + β - γ)\"","v":"Ay = Cy + b* sin(180 + β - γ)"},{"$f":"\"Ax = Cx + cos(γ)\"","v":"Ax = Cx + cos(γ)"},{"$f":"\"Ay = Cy + sin(γ)\"","v":"Ay = Cy + sin(γ)"},{"$f":"\"Ax= \" & dAX","v":"Ax= "},{"$f":"\"Ay= \" & dAY","v":"Ay= "},{"$f":"\"Ax = 0 (angenommen)\"","v":"Ax = 0 (angenommen)"},{"$f":"\"Ay= 0 (angenommen)\"","v":"Ay= 0 (angenommen)"},{"$f":"\"Ax = Cx + b * cos(δ)\"","v":"Ax = Cx + b * cos(δ)"},{"$f":"\"Ay = Cy + b * sin(δ)\"","v":"Ay = Cy + b * sin(δ)"},{"$f":"\"Ax = \" &dAX","v":"Ax = "},{"$f":"\"Ay = \" &dAY","v":"Ay = "},{"$f":"\"Ax = \" &dAX","v":"Ax = "},{"$f":"\"Ay = \" &dAY","v":"Ay = "}]
[null,{"$f":"\"Bx = Ax + c * cos(α)\"","v":"Bx = Ax + c * cos(α)"},{"$f":"\"By = Ay + c* sin(α)\"","v":"By = Ay + c* sin(α)"},{"$f":"\"Bx = \"& dBX","v":"Bx = "},{"$f":"\"By = \"& dBY","v":"By = "},{"$f":"\"Bx = Ax + c * cos(\" &$E$88 &\" + γ- α)\"","v":"Bx = Ax + c * cos(180 + γ- α)"},{"$f":"\"By = Ay + c * sin(\" &$E$88 &\" + γ- α)\"","v":"By = Ay + c * sin(180 + γ- α)"},{"$f":"\"Bx = \"&dBX","v":"Bx = "},{"$f":"\"By = \"&dBY","v":"By = "},{"$f":"\"Bx = Ax + c * cos(α)\"","v":"Bx = Ax + c * cos(α)"},{"$f":"\"By = Ay + c* sin(α)\"","v":"By = Ay + c* sin(α)"},{"$f":"\"Bx = \" &dBX","v":"Bx = "},{"$f":"\"By = \" &dBY","v":"By = "},{"$f":"\"By = Ay + c * sin(δ)\"","v":"By = Ay + c * sin(δ)"},{"$f":"\"Bx = Ax + c * cos(δ)\"","v":"Bx = Ax + c * cos(δ)"},{"$f":"\"Bx = \" &dBX","v":"Bx = "},{"$f":"\"By = \" &dBY","v":"By = "}]
[null,{"$f":"\"Cx = Bx + a * cos(\" & $E$88 &\" + α - β)\"","v":"Cx = Bx + a * cos(180 + α - β)"},{"$f":"\"Cy = By + a * sin(\" & $E$88 &\" + α - β)\"","v":"Cy = By + a * sin(180 + α - β)"},{"$f":"\"Cx = Bx + a * cos(β)\"","v":"Cx = Bx + a * cos(β)"},{"$f":"\"Cy = By + a * sin(β)\"","v":"Cy = By + a * sin(β)"},{"$f":"\"Cx = \"&dCX","v":"Cx = "},{"$f":"\"Cy = \"&dCY","v":"Cy = "},{"$f":"\"Cx = \"&dCX","v":"Cx = "},{"$f":"\"Cy = \"&dCY","v":"Cy = "},{"$f":"\"Cx = Bx + a * cos(\" & $E$88 &\" + α - β)\"","v":"Cx = Bx + a * cos(180 + α - β)"},{"$f":"\"Cy = By + a * sin(\" & $E$88 &\" + α - β)\"","v":"Cy = By + a * sin(180 + α - β)"},{"$f":"\"Cx = \" &dCX","v":"Cx = "},{"$f":"\"Cy = \" &dCY","v":"Cy = "},{"$f":"\"Cx = \" &dCX","v":"Cx = "},{"$f":"\"Cy = \" &dCY","v":"Cy = "},{"$f":"\"Cx = Bx + a * cos(δ)\"","v":"Cx = Bx + a * cos(δ)"},{"$f":"\"Cy = By + a * sin(δ)\"","v":"Cy = By + a * sin(δ)"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(dBX<dCX,\"δ = \"&$E$88&\" + arctan((Cy - By) / (Cy - By)) - γ\",IF(dBX>dCX,\"δ = arctan(Cy - By) / (Cy-By)) - γ\",IF(AND(dBX=dCX,dBY<dCY),$E$88 &\" * 1,5 - γ\",IF(AND(dBX=dCX,dBY>dCY),\"-\"&$E$88&\" * 1,5 - γ\",0))))","v":0},null,{"$f":"IF(dCX<dAX,\"δ = \"&$E$88&\" + arctan((Ay - Cy) / (Ay - Cy)) - α\",IF(dCX>dAX,\"δ = arctan(Ay - Cy) / (Ay-Cy)) - α\",IF(AND(dCX=dAX,dCY<dAY),$E$88 &\" * 1,5 - α\",IF(AND(dCX=dAX,dCY>dAY),\"-\"&$E$88&\" * 1,5 - α\",0))))","v":0},null,{"$f":"IF(dAX<dBX,\"δ = \"&$E$88&\" + arctan((By - Ay) / (By - Ay)) - β\",IF(dAX>dBX,\"δ = arctan(By - Ay) / (By-Ay)) - β\",IF(AND(dAX=dBX,dAY<dBY),$E$88 &\" * 1,5 - β\",IF(AND(dAX=dBX,dAY>dBY),\"-\"&$E$88&\" * 1,5 - β\",0))))","v":0}]
[]
[]
["Berechnung aus drei Koordinaten ",null,null,"Formeln",null,null,"Ergebnis"]
["a",{"$f":"IF(OR(dFallKO=4,dFallKO=6),SQRT(POWER(dddCX-dddBX,2)+POWER(dddCY-dddBY,2)),0)","v":0},null,"a = sqr( Cx - Bx)^2 + (Cy - By)^2)",null,null,"a",{"$f":"IF(dFallKO=4,$B99,INDEX(dda,LOOKUP(1,$C$59:$U$59,$C$60:$U$60)))","v":""}]
["b",{"$f":"IF(OR(dFallKO=4,dFallKO=7),SQRT(POWER(dddCX-dddAX,2)+POWER(dddCY-dddAY,2)),0)","v":0},null,"b = sqr(Cx - Ax)^2 + (Cy - Ay)^2)",null,null,"b",{"$f":"IF(dFallKO=4,$B100,INDEX(ddb,LOOKUP(1,$C$59:$U$59,$C$60:$U$60)))","v":""}]
["c",{"$f":"IF(OR(dFallKO=4,dFallKO=8),SQRT(POWER(dddBX-dddAX,2)+POWER(dddBY-dddAY,2)),0)","v":0},null,"c = sqr(Bx - Ax)^2 + (By - Ay)^2)",null,null,"c",{"$f":"IF(dFallKO=4,$B101,INDEX(ddc,LOOKUP(1,$C$59:$U$59,$C$60:$U$60)))","v":""}]
["α",{"$f":"IF($C102<0,$C102+$E$88,$C102)","v":0},{"$f":"ATAN((dma-dmb)/(1+dma*dmb))*$E$88/PI()","v":0},"α = arctan((ma - mb) / (1 + ma * mb))",null,null,"α",{"$f":"IF(dFallKO=4,$B102,INDEX(ddalpha,LOOKUP(1,$C$59:$U$59,$C$60:$U$60)))","v":""}]
["β",{"$f":"IF($C103<0,$C103+$E$88,$C103)","v":0},{"$f":"ATAN((dmb-dmc)/(1+dmb*dmc))*$E$88/PI()","v":0},"β = arctan((mb - mc) / (1 + mb * mc))",null,null,"β",{"$f":"IF(dFallKO=4,$B103,INDEX(ddbeta,LOOKUP(1,$C$59:$U$59,$C$60:$U$60)))","v":""}]
["γ",{"$f":"IF($C104<0,$C104+$E$88,$C104)","v":0},{"$f":"ATAN((dmc-dma)/(1+dmc*dma))*$E$88/PI()","v":0},"γ = arctan((mc - ma) / (1 + mc * ma))",null,null,"γ",{"$f":"IF(dFallKO=4,$B104,INDEX(ddgamma,LOOKUP(1,$C$59:$U$59,$C$60:$U$60)))","v":""}]
["ma",{"$f":"IF(dFallKO=4,(dddCY-dddAY)/(dddCX-dddAX),0)","v":0},null,"ma = arctan((Cy - Ay) / (Cx - Ax))",null,null,null,"X","Y"]
["mb",{"$f":"IF(dFallKO=4,(dddAY-dddBY)/(dddAX-dddBX),0)","v":0},null,"mb = arctan((Ay - By) / (Ax - Bx))",null,null,"A",{"$f":"LOOKUP(1,$B$79:$R$79,B82:R82)","v":0},{"$f":"LOOKUP(1.5,$B$79:$R$79,B82:R82)","v":0}]
["mc",{"$f":"IF(dFallKO=4,(dddBY-dddCY)/(dddBX-dddCX),0)","v":0},null,"mc = arctan((By - Cy) / (Bx - Cx))",null,null,"B",{"$f":"LOOKUP(1,$B$79:$R$79,B83:R83)","v":{"$error":"#VALUE!"}},{"$f":"LOOKUP(1.5,$B$79:$R$79,B83:R83)","v":{"$error":"#VALUE!"}}]
[null,null,null,null,null,null,"C",{"$f":"LOOKUP(1,$B$79:$R$79,B84:Q84)","v":{"$error":"#VALUE!"}},{"$f":"LOOKUP(1.5,$B$79:$R$79,B84:Q84)","v":{"$error":"#VALUE!"}}]
[]
["NR:","Koord Zeichnung",null,"Koord Seitenhalbierende",null,"Beschriftung"]
[null,"X","Y","X","Y"]
[{"$f":"IF((MAX(dddAX,dddBX,dddCX)-MIN(dddAX,dddBX,dddCX))>(MAX(dddAY,dddBY,dddCY)-MIN(dddAY,dddBY,dddCY)),(MAX(dddAX,dddBX,dddCX)-MIN(dddAX,dddBX,dddCX))/10,(MAX(dddAY,dddBY,dddCY)-MIN(dddAY,dddBY,dddCY))/10)","v":{"$error":"#VALUE!"}},{"$f":"((dddAX-MIN(dddAX,dddBX,dddCX))/$A$112)+$A$113","v":{"$error":"#VALUE!"}},{"$f":"((dddAY-MIN(dddAY,dddBY,dddCY))/$A$112)+$A$114","v":{"$error":"#VALUE!"}},{"$f":"(B114+B113)/2","v":{"$error":"#VALUE!"}},{"$f":"(C114+C113)/2","v":{"$error":"#VALUE!"}},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$13=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A13,$A13&\" (\" &ROUND(dddAX,0)&\"/\"&ROUND(dddAY,0)&\")\"))),\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$5=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A$5,$A$5&\" = \"&ROUND(ddda,0)))),\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$8=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A$8,$A$8&\" = \" &ROUND(dddalpha,0) &IF($B$18=$G$86,\"°\",\" g\")))),\"\")","v":""}]
[{"$f":"(10-(MAX(dddAX,dddBX,dddCX)-MIN(dddAX,dddBX,dddCX))/$A$112)/2","v":{"$error":"#VALUE!"}},{"$f":"((dddBX-MIN(dddAX,dddBX,dddCX))/$A$112)+$A$113","v":{"$error":"#VALUE!"}},{"$f":"((dddBY-MIN(dddAY,dddBY,dddCY))/$A$112)+$A$114","v":{"$error":"#VALUE!"}},{"$f":"(B112+B114)/2","v":{"$error":"#VALUE!"}},{"$f":"(C112+C114)/2","v":{"$error":"#VALUE!"}},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$14=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A14,$A14&\" (\" &ROUND(dddBX,0)&\"/\"&ROUND(dddBY,0)&\")\"))),\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$6=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A$6,$A$6&\" = \"&ROUND(dddb,0)))),\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$9=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A$9,$A$9&\" = \" &ROUND(dddbeta,0) &IF($B$18=$G$86,\"°\",\" g\")))),\"\")","v":""}]
[{"$f":"(10-(MAX(dddAY,dddBY,dddCY)-MIN(dddAY,dddBY,dddCY))/$A$112)/2","v":{"$error":"#VALUE!"}},{"$f":"((dddCX-MIN(dddAX,dddBX,dddCX))/$A$112)+$A$113","v":{"$error":"#VALUE!"}},{"$f":"((dddCY-MIN(dddAY,dddBY,dddCY))/$A$112)+$A$114","v":{"$error":"#VALUE!"}},{"$f":"(B113+B112)/2","v":{"$error":"#VALUE!"}},{"$f":"(C113+C112)/2","v":{"$error":"#VALUE!"}},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$15=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A15,$A15&\" (\" &ROUND(dddCX,0)&\"/\"&ROUND(dddCY,0)&\")\"))),\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$7=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A$7,$A$7&\" = \"&ROUND(dddc,0)))),\"\")","v":""},{"$f":"IF(OR($U$59<>0,dFallKO = 4),IF($A$10=\"\",\"\",IF($B$19=$H$86,\"\",IF($B$19=$H$87,$A$10,$A$10&\" = \" &ROUND(dddgamma,0) &IF($B$18=$G$86,\"°\",\" g\")))),\"\")","v":""}]
[null,{"$f":"B112","v":{"$error":"#VALUE!"}},{"$f":"C112","v":{"$error":"#VALUE!"}}]

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["Orthogonalverfahren"]
[null,null,null,null,"Einhängepunkt"]
["AntragsNr",null,null,null,"Bezeichnung",null,"Rechtswert","Rechtswert","Hochwert"]
["Antragsteller",null,null,null,"O",null,1000,null,1000]
["Massnahme",null,null,null,"Grundlinie",null,null,null,null,"Hilfslinien"]
["Aufnehmend",null,null,null,null,null,"Richtung:","Richtung:",180,"rechtwinklig zur Grundlinie"]
["Datum"]
["FlNr/Dist",null,null,null,"Bezeichnung","Richtung","Strecke","Strecke","Neigung","Bezeichnung","Strecke","Neigung"]
["Gde/Abt",null,null,null,null,null,"fort- schreibend","Binde- maße",null,null,{"$f":"\"- = links\"","v":"- = links"}]
["Gmkg/Best",null,null,null,{"$f":"$E$4","v":"O"},null,null,null,null,null,{"$f":"\"+ = rechts\"","v":"+ = rechts"}]
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["Quelle","Aequometer v 3.4",null,null,null,"",null,{"$f":"IF($G14<>\"\",$G14-SUM($H$11:$H13),\"\")","v":""}]
["Prfsum",null,null,null,null,"",null,{"$f":"IF($G15<>\"\",$G15-SUM($H$11:$H14),\"\")","v":""}]
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[null,null,null,null,null,"",null,{"$f":"IF($G18<>\"\",$G18-SUM($H$11:$H17),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G19<>\"\",$G19-SUM($H$11:$H18),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G20<>\"\",$G20-SUM($H$11:$H19),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G21<>\"\",$G21-SUM($H$11:$H20),\"\")","v":""}]
["Strecke","fortschreibend",null,null,null,"",null,{"$f":"IF($G22<>\"\",$G22-SUM($H$11:$H21),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G23<>\"\",$G23-SUM($H$11:$H22),\"\")","v":""}]
["Winkelmaß:","Grad",null,null,null,"",null,{"$f":"IF($G24<>\"\",$G24-SUM($H$11:$H23),\"\")","v":""}]
["(Richtung)",null,null,null,null,"",null,{"$f":"IF($G25<>\"\",$G25-SUM($H$11:$H24),\"\")","v":""}]
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["(Neigung)",null,null,null,null,"",null,{"$f":"IF($G27<>\"\",$G27-SUM($H$11:$H26),\"\")","v":""}]
["a oder z?","a",null,null,null,"",null,{"$f":"IF($G28<>\"\",$G28-SUM($H$11:$H27),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G29<>\"\",$G29-SUM($H$11:$H28),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G30<>\"\",$G30-SUM($H$11:$H29),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G31<>\"\",$G31-SUM($H$11:$H30),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G32<>\"\",$G32-SUM($H$11:$H31),\"\")","v":""}]
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[null,null,null,null,null,"",null,{"$f":"IF($G39<>\"\",$G39-SUM($H$11:$H38),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G40<>\"\",$G40-SUM($H$11:$H39),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G41<>\"\",$G41-SUM($H$11:$H40),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G42<>\"\",$G42-SUM($H$11:$H41),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G43<>\"\",$G43-SUM($H$11:$H42),\"\")","v":""}]
[null,null,null,null,null,{"$f":"IF(OR(AND($B$22=fortschreibend,$G44<>\"\"),AND($B$22<>fortschreibend,$H44<>\"\")),$F43,\"\")","v":""},null,{"$f":"IF($G44<>\"\",$G44-SUM($H$11:$H43),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G45<>\"\",$G45-SUM($H$11:$H44),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G46<>\"\",$G46-SUM($H$11:$H45),\"\")","v":""}]
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[null,null,null,null,null,"",null,{"$f":"IF($G49<>\"\",$G49-SUM($H$11:$H48),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G50<>\"\",$G50-SUM($H$11:$H49),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G51<>\"\",$G51-SUM($H$11:$H50),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G52<>\"\",$G52-SUM($H$11:$H51),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G53<>\"\",$G53-SUM($H$11:$H52),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G54<>\"\",$G54-SUM($H$11:$H53),\"\")","v":""}]
[null,null,null,null,null,"",null,{"$f":"IF($G55<>\"\",$G55-SUM($H$11:$H54),\"\")","v":""},null,null,null,null,null,null,null,"Grad"]
[null,null,null,null,null,"",null,{"$f":"IF($G56<>\"\",$G56-SUM($H$11:$H55),\"\")","v":""},null,null,null,null,null,null,null,"Gon"]
[null,null,null,null,null,"",null,{"$f":"IF($G57<>\"\",$G57-SUM($H$11:$H56),\"\")","v":""},null,null,null,null,null,null,null,"Prozent"]
[null,null,null,null,null,"",null,{"$f":"IF($G58<>\"\",$G58-SUM($H$11:$H57),\"\")","v":""},null,null,null,null,null,null,null,"%"]
[null,null,null,null,null,"",null,{"$f":"IF($G59<>\"\",$G59-SUM($H$11:$H58),\"\")","v":""},null,null,null,null,null,null,null,"a"]
[null,null,null,null,null,"",null,{"$f":"IF($G60<>\"\",$G60-SUM($H$11:$H59),\"\")","v":""},null,null,null,null,null,null,null,"z"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"fortschreibend"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Bindemaße"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,"Ohne"]
[null,null,null,null,null,null,null,"Bezeichnung"]
[null,null,null,null,null,null,null,"Werte"]

{"sheet":"GK<->WGS84","index":5,"n_rows":70,"n_cols":17,"rows_kept":70,"cut":false,"hidden":false,"merged":[]}
["Koordinaten Transformation"]
["Eingabe",null,null,null,"Ausgabe"]
["GPS-Koordinaten (WGS84)  ",null,null,{"$f":"\"->\"","v":"->"},"Gauss-Krüger"]
[]
["Grad","Minuten","Sekunden","Dezimalgrad:"]
[48,23,38.664050000000003,{"$f":"A6+B6/60+C6/3600","v":48.394073347222225},null,null,{"$f":"C61","v":"Rechtswert"},{"$f":"C55","v":"Hochwert"}]
[11,39,34.061199999999999,{"$f":"A7+B7/60+C7/3600","v":11.659461444444444},null,null,{"$f":"D61","v":4474888.2285687346},{"$f":"D55","v":5361859.5104137566}]
["Höhe [m]","Parametersatz"]
[552.09,5,{"$f":"VLOOKUP(B9,$A$21:$I$31,2)","v":"D-Süd"}]
[]
["Gauss-Krüger",null,null,{"$f":"\"->\"","v":"->"},"GPS (WGS84)"]
[]
["Rechtswert","Hochwert",null,null,null,"Grad","Minuten","Sekunden"]
[4474888.2285687346,5361859.5104137566,null,null,"Breite",{"$f":"TRUNC(M62)","v":48},{"$f":"TRUNC((M62-F14)*60)","v":23},{"$f":"((M62-F14)*60-INT((M62-F14)*60))*60","v":38.675848218961733}]
["Höhe","Parametersatz",null,null,"Länge",{"$f":"TRUNC(M63)","v":11},{"$f":"TRUNC((M63-F15)*60)","v":39},{"$f":"((M63-F15)*60-INT((M63-F15)*60))*60","v":34.0609020478594}]
[597.04999999999995,5,{"$f":"VLOOKUP(B16,$A$21:$I$31,2)","v":"D-Süd"},null,"Höhe",{"$f":"M64","v":552.09360144287348}]
[]
[null,null,"Achtung: Transformationsparameter ungeprüft!"]
["Transformationsparameter (definiert von Region nach WGS84)",null,null,null,null,null,null,null,null,null,"WGS84-Ellipsoid"]
["Satz","Region","dx","dy","dz","ex","ey","ez","m",null,"a",6378137]
[1,"DHDN (Deutschland 1995)",582,105,414,-1.04,-0.35,3.08,8.3000000000000007,null,"b",6356752.3140000002]
[2,"DHDN (Deutschland 2001)",598.1,73.7,418.2,-0.20200000000000001,-4.4999999999999998E-2,2.4550000000000001,6.7,null,"e2",{"$f":"(L20^2-L21^2)/L20^2","v":6.6943800667646578E-3}]
[3,"D-Mitte",584.79999999999995,67,400.3,-0.105,-1.2999999999999999E-2,2.3780000000000001,10.29]
[4,"D-Nord",590.5,69.5,411.6,0.79600000000000004,5.1999999999999998E-2,3.601,8.3000000000000007,null,"Bessel-Ellipsoid","WGS84->DHDN","DHDN->WGS84"]
[5,"D-Süd",597.1,71.400000000000006,412.1,-0.89400000000000002,-6.8000000000000005E-2,1.5629999999999999,7.58,null,"a",6377397.1550000003,{"$f":"L25","v":6377397.1550000003}]
[6,"OSGB36 (England, Schottland, Wales )",446.44799999999998,-125.157,542.05999999999995,-0.1502,-0.247,-0.84209999999999996,-20.4894,null,"b",6356078.9620000003,{"$f":"L26","v":6356078.9620000003}]
[7,"Ireland 1965 ",482.53,-130.596,564.55700000000002,1.042,0.214,0.63100000000000001,8.15,null,"e",{"$f":"(L25^2-L26^2)/L25^2","v":6.6743724875343302E-3},{"$f":"L27","v":6.6743724875343302E-3}]
[8,"Bessel 1841 ",582,105,414,-1.04,-0.35,3.08,8.3000000000000007,null,"e2",{"$f":"(L25^2-L26^2)/L25^2","v":6.6743724875343302E-3},{"$f":"L28","v":6.6743724875343302E-3}]
[9,"Krassovski 1940 ",24,-123,-94,-0.02,0.26,0.13,1.1000000000000001,null,"n",{"$f":"(L25-L26)/(L25+L26)","v":1.6741848654774501E-3},{"$f":"L29","v":1.6741848654774501E-3}]
[10,"MGI (Österreich, BEV)",577.32600000000002,90.129000000000005,463.92,5.1369999999999996,1.474,5.2969999999999997,2.423,null,"a",{"$f":"(L25+L26)/2*(1+1/4*L29^2+1/64*L29^4)","v":6366742.5198252928},{"$f":"(L25+L26)/2*(1+1/4*L29^2+1/64*L29^4)","v":6366742.5198252928}]
[11,"Clarke 1866 (USA)",-8,160,176,0,0,0,0,null,"b",{"$f":"-3/2*L29+9/16*L29^3-3/32*L29^5","v":-2.5112746586499735E-3},{"$f":"3/2*L29+9/16*L29^3-3/32*L29^5","v":2.5112799377823764E-3}]
[15,null,null,null,null,null,null,null,null,null,"g",{"$f":"15/16*L29^2-15/32*L29^4","v":2.62771034595343E-6},{"$f":"21/16*L29^2-55/32*L29^4","v":3.6787861371008628E-6}]
[null,null,"m","m","m","m","m","m","x 10exp-6",null,"d",{"$f":"-35/48*L29^3+105/256*L29^5","v":-3.421656094409721E-9},{"$f":"151/96*L29^3-417/128*L29^5","v":7.3809697915275607E-9}]
[null,null,null,null,null,null,null,null,null,null,"e",{"$f":"315/512*L29^4","v":4.8334167111113507E-12},{"$f":"1097/512*L29^4","v":1.683256549869572E-11}]
[]
[]
["Umrechung von GPS-Koordinaten (WGS84) nach Gauss-Krüger",null,null,null,null,null,null,null,null,"Umrechnung Gauss-Krüger nach GPS (WGS84)"]
[]
["Koordinaten WGS-Ellipsoid",null,"Umrechnung B,L in GK",null,null,null,"Parametersatz WGS84->DHDN",null,null,"Umrechnung GK nach B, L",null,"Koordinaten auf dem Bessel Ellipsoid",null,null,null,"Parametersatz DHDN->WGS84"]
[null,null,null,null,null,{"$f":"B9","v":5},{"$f":"VLOOKUP(F40,A21:I31,2)","v":"D-Süd"},null,null,null,null,null,null,null,{"$f":"B16","v":5},{"$f":"VLOOKUP(O40,A21:I31,2)","v":"D-Süd"}]
["N",{"$f":"$L$20/SQRT(1-$L$22*SIN(D6/180*PI())^2)","v":6390106.7299122084},"L0",{"$f":"IF(ABS(B69-6)<1.5,6,IF(ABS(B69-9)<1.5,9,IF(ABS(B69-12)<1.5,12,15)))","v":12},null,"dx",{"$f":"-VLOOKUP($F$40,$A$21:$I$31,3)","v":-597.1},{"$f":"MMULT(F51:H53,G41:G43)*H47","v":-597.09479708542119},null,"y0",{"$f":"ROUNDDOWN(A14/1000000,0)","v":4},"x",{"$f":"(K63+A16)*COS(K56/180*PI())*COS(K62/180*PI())","v":4155287.7419829415},null,"dx",{"$f":"VLOOKUP($O$40,$A$21:$I$31,3)","v":597.1},{"$f":"MMULT(O51:Q53,P41:P43)*Q47","v":597.0961508785789}]
[null,null,"l",{"$f":"(B69-D41)*PI()/180","v":-5.9191586434216145E-3},null,"dy",{"$f":"-VLOOKUP($F$40,$A$21:$I$31,4)","v":-71.400000000000006},-71.405769485675052,null,"L0",{"$f":"K41*3","v":12},"y",{"$f":"(K63+A16)*COS(K56/180*PI())*SIN(K62/180*PI())","v":857558.62525338365},null,"dy",{"$f":"VLOOKUP($O$40,$A$21:$I$31,4)","v":71.400000000000006},71.393148090324956]
["Ergebnis-Vektoren",null,"B",{"$f":"B68/180*PI()","v":0.84465239879219278},null,"dz",{"$f":"-VLOOKUP($F$40,$A$21:$I$31,5)","v":-412.1},-412.09676366645328,null,"y",{"$f":"A14-K41*1000000-500000","v":-25111.771431265399},"z",{"$f":"(K63*$L$26^2/$L$25^2+A16)*SIN(K56/180*PI())","v":4746119.1052520638},null,"dz",{"$f":"VLOOKUP($O$40,$A$21:$I$31,5)","v":412.1},412.09698889754674]
[null,null,null,null,null,"ex",{"$f":"-VLOOKUP($F$40,$A$21:$I$31,6)","v":0.89400000000000002},{"$f":"G44*PI()/180/3600","v":4.334234309119251E-6},null,null,null,null,null,null,"ex",{"$f":"VLOOKUP($O$40,$A$21:$I$31,6)","v":-0.89400000000000002},{"$f":"P44*PI()/180/3600","v":-4.334234309119251E-6}]
["x",{"$f":"(B41+A9)*COS(D6/180*PI())*COS(D7/180*PI())","v":4155861.6672417731},"N",{"$f":"$L$25/SQRT(1-$L$27*SIN(D43)^2)","v":6389329.976314974},null,"ey",{"$f":"-VLOOKUP($F$40,$A$21:$I$31,7)","v":6.8000000000000005E-2},{"$f":"G45*PI()/180/3600","v":3.2967330315448449E-7},null,"B0",{"$f":"B14/M30","v":0.8421668527850078},"Rotierte Vektoren + Maßstab",null,null,"ey",{"$f":"VLOOKUP($O$40,$A$21:$I$31,7)","v":-6.8000000000000005E-2},{"$f":"P45*PI()/180/3600","v":-3.2967330315448449E-7}]
["y",{"$f":"(B41+A9)*COS(D6/180*PI())*SIN(D7/180*PI())","v":857571.52103781654},"h",{"$f":"SQRT($L$25^2/$L$26^2*L27*COS(D43)^2)","v":5.4427921349901563E-2},null,"ez",{"$f":"-VLOOKUP($F$40,$A$21:$I$31,8)","v":-1.5629999999999999},{"$f":"G46*PI()/180/3600","v":-7.5776378357420477E-6},null,"BF",{"$f":"(K45+M31*SIN(2*K45)+M32*SIN(4*K45)+M33*SIN(6*K45)+M34*SIN(8*K45))","v":0.84466112883050781},"x",{"$f":"MMULT($O$51:$Q$53,M41:M43)*$Q$47","v":4155264.307778188},null,"ez",{"$f":"VLOOKUP($O$40,$A$21:$I$31,8)","v":1.5629999999999999},{"$f":"P46*PI()/180/3600","v":7.5776378357420477E-6}]
["z",{"$f":"(B41*$L$21^2/$L$20^2+A9)*SIN(D6/180*PI())","v":4746497.3289180724},"t",{"$f":"TAN(D43)","v":1.1261298498423886},null,"m",{"$f":"-VLOOKUP($F$40,$A$21:$I$31,9)","v":-7.58},{"$f":"G47*10^-6+1","v":0.99999241999999999},null,null,null,"y",857500.06729573116,null,"m",{"$f":"VLOOKUP($O$40,$A$21:$I$31,9)","v":7.58},{"$f":"1-P47*10^-6","v":0.99999241999999999}]
[null,null,null,null,null,null,null,null,null,"NF",{"$f":"$L$25/SQRT(1-$L$27*SIN(K46)^2)","v":6389330.1618467709},"z",4746085.4766240362]
["Rotierte Vektoren + Maßstab",null,"Bogenlänge",{"$f":"$L$30*(D43+$L$31*SIN(2*D43)+$L$32*SIN(4*D43)+$L$33*SIN(6*D43)+$L$34*SIN(8*D43))","v":5361803.9378349325},null,null,null,null,null,"hF",{"$f":"SQRT($L$25^2/$L$26^2*$L$27*COS(K46)^2)","v":5.4427386258401836E-2}]
["x",{"$f":"MMULT($F$51:$H$53,B45:B47)*$H$47","v":4155822.1027115965},null,null,null,"Drehmatrix WGS84->DHDN",null,null,null,"tF",{"$f":"TAN(K46)","v":1.1261496512344347},"Translationen anbringen",null,null,"Drehmatrix DHDN->WGS84"]
["y",857617.08429722255,null,{"$f":"D47/2*D45*COS(D43)^2*D42^2","v":55.572309956046084},null,1,{"$f":"H46","v":-7.5776378357420477E-6},{"$f":"-H45","v":-3.2967330315448449E-7},null,null,null,"x",{"$f":"M46+Q41","v":4155861.4039290664},null,1,{"$f":"Q46","v":7.5776378357420477E-6},{"$f":"-Q45","v":3.2967330315448449E-7}]
["z",4746459.0036468422,null,{"$f":"D47/24*D45*COS(D43)^4*(5-D47^2+9*D46^2+4*D46^4)*D42^4","v":2.6886834833245908E-4},null,{"$f":"-G51","v":7.5776378357420477E-6},1,{"$f":"H44","v":4.334234309119251E-6},null,null,{"$f":"K50/2/K48^2*(-1-K49^2)*K43^2","v":-8.7235805577667074E-6},"y",{"$f":"M47+Q42","v":857571.4604438215},null,{"$f":"-P51","v":-7.5776378357420477E-6},1,{"$f":"Q44","v":-4.334234309119251E-6}]
[null,null,null,{"$f":"D47/720*D45*COS(D43)^6*(61-58*D47^2+270*D46^2-330*D47^2*D46^2)*D42^6","v":-4.7860494423014537E-10},null,{"$f":"-H51","v":3.2967330315448449E-7},{"$f":"-H52","v":-4.334234309119251E-6},1,null,null,{"$f":"K50/24/K48^4*(5+3*K50^2+6*K49^2-6*K50^2*K49^2-4*K49^4-9*K50^2*K49^4)*K43^4","v":9.8524131634410952E-11},"z",{"$f":"M48+Q43","v":4746497.573612934},null,{"$f":"-Q51","v":-3.2967330315448449E-7},{"$f":"-Q52","v":4.334234309119251E-6},1]
["Translationen anbringen",null,null,{"$f":"D47/40320*D45*COS(D43)^8*(1385-3111*D47^2+543*D47^4-D47^6)*D42^8","v":-1.7160879886850372E-14},null,null,null,null,null,null,{"$f":"K50/720/K48^6*(-61-90*K50^2-45*K50^4-107*K49^2+162*K50^2*K49^2+45*K50^4*K49^2)*K43^6","v":-1.4239981247398577E-15},"Vektoren jetzt in WGS84!"]
[null,null,"Hochwert",{"$f":"D49+D51+D52","v":5361859.5104137566},null,null,null,null,null,null,{"$f":"K50/40320/K48^8*(1385+3663*K50^2+4095*K50^4+1575*K50^6)*K43^8","v":2.5171784340565715E-20},"s",{"$f":"SQRT(M51^2+M52^2)","v":4243419.9436816312}]
["x",{"$f":"B50+H41","v":4155225.007914511},null,null,null,null,null,null,null,"B",{"$f":"(K46+K52+K53)*180/PI()","v":48.395017982040812},"T",{"$f":"ATAN(M53*$L$20/(M55*$L$21))","v":0.84296848625204124}]
["y",{"$f":"B51+H42","v":857545.67852773692},null,{"$f":"D45*COS(D43)*D42","v":-25111.788576935403},null,null,null,null,null,null,null,"B",{"$f":"ATAN((M53+$L$22*$L$20^2/$L$21*SIN(M56)^3)/(M55-$L$22*$L$20*COS(M56)^3))","v":0.84463597556004033}]
["z",{"$f":"B52+H43","v":4746046.9068831755},null,{"$f":"+D45/6*COS(D43)^3*(1-D47^2+D46^2)*D42^3","v":1.7145670120197489E-2},null,null,null,null,null,null,{"$f":"1/K48/COS(K46)*K43","v":-5.9192126230291457E-3},"L",{"$f":"ATAN(M52/M51)","v":0.20349598977037672}]
["Vektoren jetzt in DHDN/Bessel!",null,null,{"$f":"D45/120*COS(D43)^5*(5-18*D47^2+D47^4+14*D46^2-58*D47^2*D46^2)*D42^5","v":8.1865798982512461E-7},null,null,null,null,null,null,{"$f":"1/6/K48^3/COS(K46)*(-1-2*K50^2-K49^2)*K43^3","v":5.3936772295433507E-8},"N",{"$f":"$L$20/SQRT(1-$L$22*SIN(M57)^2)","v":6390106.7311316272}]
[null,null,null,{"$f":"D45/5040*COS(D43)^7*(61-479*D47^2+179*D47^4)*D42^7","v":4.7486353595741895E-12},null,null,null,null,null,null,{"$f":"1/120/K48^5/COS(K46)*(5+28*K50^2+24*K50^4+6*K49^2+8*K50^2*K49^2)*K43^5","v":-9.3168377694474553E-13},"h",{"$f":"M55/COS(M57)-M59","v":552.09360144287348}]
["s",{"$f":"SQRT(B56^2+B57^2)","v":4242791.4699122021},"Rechtswert",{"$f":"D57+D58+500000+D41/3*1000000","v":4474888.2285687346},null,null,null,null,null,null,{"$f":"1/15040/K48^7/COS(K46)*(-61-622*K50^2-1320*K50^4-720*K50^6)*K43^7","v":6.4428311500722426E-18}]
["T",{"$f":"ATAN(B58*$L$25/(B61*$L$26))","v":0.84298989034052252},null,null,null,null,null,null,null,"L",{"$f":"K42+(K58+K59)*180/PI()","v":11.660857189009281},"B",{"$f":"M57*180/PI()","v":48.394076624505267}]
["B",{"$f":"ATAN((B58+$L$28*$L$25^2/$L$26*SIN(B62)^3)/(B61-$L$28*$L$25*COS(B62)^3))","v":0.84465239879219289},null,null,null,null,null,null,null,"N",{"$f":"$L$25/SQRT(1-$L$28*SIN(K56/180*PI())^2)","v":6389329.9764543083},"L",{"$f":"M58*180/PI()","v":11.659461361679961}]
["L",{"$f":"ATAN(B57/B56)","v":0.20352035159589793},null,null,null,null,null,null,null,null,null,"h",{"$f":"M60","v":552.09360144287348}]
["N",{"$f":"$L$25/SQRT(1-$L$28*SIN(B63)^2)","v":6389329.976314974}]
["h",{"$f":"B61/COS(B63)-B65","v":500.5316920382902}]
[]
["B",{"$f":"B63*180/PI()","v":48.395017606393566}]
["L",{"$f":"B64*180/PI()","v":11.66085719146356}]
["h",{"$f":"B66","v":500.5316920382902}]