{"text_format":"3","workbook":"xlsx","n_sheets":2,"sheets":["オイラー角","お問合せ"],"not_rendered":{"images":1,"macros":1,"defined_names":8},"read":"whole","date_system":"1900"}

{"sheet":"オイラー角","index":0,"n_rows":179,"n_cols":23,"rows_kept":179,"merged":[[148,1,148,4],[148,5,148,7],[148,8,148,16],[148,17,148,19],[148,20,148,22],[149,8,149,16],[149,17,149,19],[149,20,149,22],[150,8,150,16],[164,1,164,4],[164,5,164,7],[164,8,164,11],[164,12,164,14],[164,15,164,17],[165,8,165,11],[165,12,165,14],[165,15,165,17],[166,8,166,11]]}
["四元数からオイラー角への変換は、四元数を方向余弦マトリクスに変換した後、方向余弦マトリクスをオイラー角へ変換します。"]
["以下に、四元数から方向余弦マトリクスへ変換する関数、方向余弦マトリクスからオイラー角へ変換する関数を示します。"]
["ただし、方向余弦マトリクスからオイラー角への変換は、xyz軸の順ではなく、方向余弦マトリクスの回転順としています。"]
[null,"[例]"]
[null,"第2軸（y)まわりにθ1、第3軸(z)まわりにθ2、第1軸(x)まわりにθ3 回転してできた方向余弦マトリクスからオイラー角を求めた場合。"]
{"$rows_empty":19}
[null,"Function QtnDcm(a As Quaternion) As Matrix3x3"]
[]
[null,"四元数から方向余弦マトリクスへ変換"]
[]
[null," a      ：入力、四元数"]
[null,"' Qtndcm ：出力、方向余弦マトリクス"]
[]
[null,"    QtnDcm.x.x = a.c ^ 2 + a.s.x ^ 2 - a.s.y ^ 2 - a.s.z ^ 2"]
[null,"    QtnDcm.x.y = 2# * (a.s.x * a.s.y + a.c * a.s.z)"]
[null,"    QtnDcm.x.z = 2# * (a.s.x * a.s.z - a.c * a.s.y)"]
[null,"    "]
[null,"    QtnDcm.y.x = 2# * (a.s.x * a.s.y - a.c * a.s.z)"]
[null,"    QtnDcm.y.y = a.c ^ 2 - a.s.x ^ 2 + a.s.y ^ 2 - a.s.z ^ 2"]
[null,"    QtnDcm.y.z = 2# * (a.s.y * a.s.z + a.c * a.s.x)"]
[null,"    "]
[null,"    QtnDcm.z.x = 2# * (a.s.x * a.s.z + a.c * a.s.y)",{"$f":"DEGREES(ATAN2((1-C$33)*COS(RADIANS(C39)),SIN(RADIANS(C39))))","v":{"v":0,"d":"0.000"}}]
[null,"    QtnDcm.z.y = 2# * (a.s.y * a.s.z - a.c * a.s.x)"]
[null,"    QtnDcm.z.z = a.c ^ 2 - a.s.x ^ 2 - a.s.y ^ 2 + a.s.z ^ 2"]
[]
[null,"End Function"]
[]
[]
[null,"Function RtnAng(a As Matrix3x3, ix As Integer) As Vector3D"]
[]
[null,"'回転角（オイラー角）"]
[]
[null,"' a      ：入力、方向余弦マトリクス"]
[null,"' ix     ：入力、回転順序"]
[null,"' RtnAng ：出力、[θi]i･[θj]j･[θk]k＝aとなる回転角（オイラー角）（deg）（θi、θj、θk）（回転軸順に配列）"]
[]
[null,"    Select Case ix"]
[null,"    Case 1, 123"]
[null,"        RtnAng.x = Artand(-a.z.y, a.z.z)"]
[null,"        RtnAng.y = Arsind(a.z.x)"]
[null,"        RtnAng.z = Artand(-a.y.x, a.x.x)"]
[null,"    Case 2, 231"]
[null,"        RtnAng.y = Artand(-a.x.z, a.x.x)"]
[null,"        RtnAng.z = Arsind(a.x.y)"]
[null,"        RtnAng.x = Artand(-a.z.y, a.y.y)"]
[null,"    Case 3, 312"]
[null,"        RtnAng.z = Artand(-a.y.x, a.y.y)"]
[null,"        RtnAng.x = Arsind(a.y.z)"]
[null,"        RtnAng.y = Artand(-a.x.z, a.z.z)"]
[null,"    Case 4, 321"]
[null,"        RtnAng.z = Artand(a.x.y, a.x.x)"]
[null,"        RtnAng.y = Arsind(-a.x.z)"]
[null,"        RtnAng.x = Artand(a.y.z, a.z.z)"]
[null,"    Case 5, 132"]
[null,"        RtnAng.x = Artand(a.y.z, a.y.y)"]
[null,"        RtnAng.z = Arsind(-a.y.x)"]
[null,"        RtnAng.y = Artand(a.z.x, a.x.x)"]
[null,"    Case 6, 213"]
[null,"        RtnAng.y = Artand(a.z.x, a.z.z)"]
[null,"        RtnAng.x = Arsind(-a.z.y)"]
[null,"        RtnAng.z = Artand(a.x.y, a.y.y)"]
[null,"    Case 7, 121"]
[null,"        If (a.x.x = 1#) Then"]
[null,"             RtnAng.x = Artand(a.y.z - a.z.y, a.y.y + a.z.z) / 2#"]
[null,"             RtnAng.y = 0#"]
[null,"             RtnAng.z = Artand(a.y.z - a.z.y, a.y.y + a.z.z) / 2#"]
[null,"        Else"]
[null,"             RtnAng.x = Artand(a.x.y, -a.x.z)"]
[null,"             RtnAng.y = Arcosd(a.x.x)"]
[null,"             RtnAng.z = Artand(a.y.x, a.z.x)"]
[null,"        End If"]
[null,"    Case 8, 232"]
[null,"        If (a.y.y = 1#) Then"]
[null,"            RtnAng.y = Artand(a.z.x - a.x.z, a.z.z + a.x.x) / 2#"]
[null,"            RtnAng.z = 0#"]
[null,"            RtnAng.x = Artand(a.z.x - a.x.z, a.z.z + a.x.x) / 2#"]
[null,"        Else"]
[null,"            RtnAng.y = Artand(a.y.z, -a.y.x)"]
[null,"            RtnAng.z = Arcosd(a.y.y)"]
[null,"            RtnAng.x = Artand(a.z.y, a.x.y)"]
[null,"        End If"]
[null,"    Case 9, 313"]
[null,"        If (a.z.z = 1#) Then"]
[null,"            RtnAng.z = Artand(a.x.y - a.y.x, a.x.x + a.y.y) / 2#"]
[null,"            RtnAng.x = 0#"]
[null,"            RtnAng.y = Artand(a.x.y - a.y.x, a.x.x + a.y.y) / 2#"]
[null,"        Else"]
[null,"            RtnAng.z = Artand(a.z.x, -a.z.y)"]
[null,"            RtnAng.x = Arcosd(a.z.z)"]
[null,"            RtnAng.y = Artand(a.x.z, a.y.z)"]
[null,"        End If"]
[null,"    Case 10, 323"]
[null,"        If (a.z.z = 1#) Then"]
[null,"            RtnAng.z = Artand(a.x.y - a.y.x, a.x.x + a.y.y) / 2#"]
[null,"            RtnAng.y = 0#"]
[null,"            RtnAng.x = Artand(a.x.y - a.y.x, a.x.x + a.y.y) / 2#"]
[null,"        Else"]
[null,"            RtnAng.z = Artand(a.z.y, a.z.x)"]
[null,"            RtnAng.y = Arcosd(a.z.z)"]
[null,"            RtnAng.x = Artand(a.y.z, -a.x.z)"]
[null,"        End If"]
[null,"    Case 11, 131"]
[null,"        If (a.x.x = 1#) Then"]
[null,"            RtnAng.x = Artand(a.y.z - a.z.y, a.y.y + a.z.z) / 2#"]
[null,"            RtnAng.z = 0#"]
[null,"            RtnAng.y = Artand(a.y.z - a.z.y, a.y.y + a.z.z) / 2#"]
[null,"        Else"]
[null,"            RtnAng.x = Artand(a.x.z, a.x.y)"]
[null,"            RtnAng.z = Arcosd(a.x.x)"]
[null,"            RtnAng.y = Artand(a.z.x, -a.y.x)"]
[null,"        End If"]
[null,"    Case 12, 212"]
[null,"        If (a.y.y = 1#) Then"]
[null,"            RtnAng.y = Artand(a.z.x - a.x.z, a.z.z + a.x.x) / 2#"]
[null,"            RtnAng.x = 0#"]
[null,"            RtnAng.z = Artand(a.z.x - a.x.z, a.z.z + a.x.x) / 2#"]
[null,"        Else"]
[null,"            RtnAng.y = Artand(a.y.x, a.y.z)"]
[null,"            RtnAng.x = Arcosd(a.y.y)"]
[null,"            RtnAng.z = Artand(a.x.y, -a.z.y)"]
[null,"        End If"]
[null,"    Case Else"]
[null,"        RtnAng.x = vbNull"]
[null,"        RtnAng.y = vbNull"]
[null,"        RtnAng.z = vbNull"]
[null,"    End Select"]
[]
[null,"End Function"]
[]
[]
[null,"回転順序",{"$nulls":3},"回転角",null,null,"マトリクスの回転",{"$nulls":8},"回転順どおりの角",null,null,"オイラー角"]
[null,"番号","１回目","２回目","３回目","１回目","２回目","３回目","G",{"$nulls":8},{"$f":"exe(\"OdrAng(G,No)\",\nR152:T152=odrang(I152:Q152,B152),\nR153:T153=odrang(I153:Q153,B153),\nR154:T154=odrang(I154:Q154,B154),\nR155:T155=odrang(I155:Q155,B155),\nR156:T156=odrang(I156:Q156,B156),\nR157:T157=odrang(I157:Q157,B157),\nR158:T158=odrang(I158:Q158,B158),\nR159:T159=odrang(I159:Q159,B159),\nR160:T160=odrang(I160:Q160,B160),\nR161:T161=odrang(I161:Q161,B161),\nR162:T162=odrang(I162:Q162,B162),\nR163:T163=odrang(I163:Q163,B163))","v":"OdrAng(G,No)"},null,null,{"$f":"exe(\"RtnAng(G,No)\",\nU152:W152=RtnAng(I152:Q152,B152),\nU153:W153=RtnAng(I153:Q153,B153),\nU154:W154=RtnAng(I154:Q154,B154),\nU155:W155=RtnAng(I155:Q155,B155),\nU156:W156=RtnAng(I156:Q156,B156),\nU157:W157=RtnAng(I157:Q157,B157),\nU158:W158=RtnAng(I158:Q158,B158),\nU159:W159=RtnAng(I159:Q159,B159),\nU160:W160=RtnAng(I160:Q160,B160),\nU161:W161=RtnAng(I161:Q161,B161),\nU162:W162=RtnAng(I162:Q162,B162),\nU163:W163=RtnAng(I163:Q163,B163))","v":"RtnAng(G,No)"}]
[null,"No","I1","I2","I3","A1","A2","A3",{"$f":"exe(\"G=MatRtn(MatRtn(RtnMat(A1,I1),A2,I2),A3,I3)\",\nI152:Q152=matrtn(matrtn(rtnmat(F152,C152),G152,D152),H152,E152),\nI153:Q153=matrtn(matrtn(rtnmat(F153,C153),G153,D153),H153,E153),\nI154:Q154=matrtn(matrtn(rtnmat(F154,C154),G154,D154),H154,E154),\nI155:Q155=matrtn(matrtn(rtnmat(F155,C155),G155,D155),H155,E155),\nI156:Q156=matrtn(matrtn(rtnmat(F156,C156),G156,D156),H156,E156),\nI157:Q157=matrtn(matrtn(rtnmat(F157,C157),G157,D157),H157,E157),\nI158:Q158=matrtn(matrtn(rtnmat(F158,C158),G158,D158),H158,E158),\nI159:Q159=matrtn(matrtn(rtnmat(F159,C159),G159,D159),H159,E159),\nI160:Q160=matrtn(matrtn(rtnmat(F160,C160),G160,D160),H160,E160),\nI161:Q161=matrtn(matrtn(rtnmat(F161,C161),G161,D161),H161,E161),\nI162:Q162=matrtn(matrtn(rtnmat(F162,C162),G162,D162),H162,E162),\nI163:Q163=matrtn(matrtn(rtnmat(F163,C163),G163,D163),H163,E163))","v":"G=MatRtn(MatRtn(RtnMat(A1,I1),A2,I2),A3,I3)"},{"$nulls":8},"１回目","２回目","３回目","１回目","２回目","３回目"]
[null,1,1,2,3,10,20,30,{"v":0.8137976813493757,"d":"0.8138"},{"v":0.5438381424823228,"d":"0.5438"},{"v":-0.20487412870286206,"d":"-0.2049"},{"v":-0.46984631039295216,"d":"-0.4698"},{"v":0.823172944645503,"d":"0.8232"},{"v":0.3187957775971656,"d":"0.3188"},{"v":0.3420201433256669,"d":"0.3420"},{"v":-0.16317591116653404,"d":"-0.1632"},{"v":0.9254165783983243,"d":"0.9254"},9.99999999999994,19.99999999999988,29.999999999999822,9.99999999999994,19.99999999999988,29.999999999999822]
[null,2,2,3,1,{"$f":"F152","v":10},20,30,{"v":0.9254165783983243,"d":"0.9254"},{"v":0.3420201433256669,"d":"0.3420"},{"v":-0.16317591116653404,"d":"-0.1632"},{"v":-0.20487412870286206,"d":"-0.2049"},{"v":0.8137976813493757,"d":"0.8138"},{"v":0.5438381424823228,"d":"0.5438"},{"v":0.3187957775971656,"d":"0.3188"},{"v":-0.46984631039295216,"d":"-0.4698"},{"v":0.823172944645503,"d":"0.8232"},9.99999999999994,19.99999999999988,29.999999999999822,29.999999999999822,9.99999999999994,19.99999999999988]
[null,3,3,1,2,10,20,30,{"v":0.823172944645503,"d":"0.8232"},{"v":0.3187957775971656,"d":"0.3188"},{"v":-0.46984631039295216,"d":"-0.4698"},{"v":-0.16317591116653404,"d":"-0.1632"},{"v":0.9254165783983243,"d":"0.9254"},{"v":0.3420201433256669,"d":"0.3420"},{"v":0.5438381424823228,"d":"0.5438"},{"v":-0.20487412870286206,"d":"-0.2049"},{"v":0.8137976813493757,"d":"0.8138"},9.99999999999994,19.99999999999988,29.999999999999822,19.99999999999988,29.999999999999822,9.99999999999994]
[null,4,3,2,1,10,20,30,{"v":0.9254165783983243,"d":"0.9254"},{"v":0.16317591116653404,"d":"0.1632"},{"v":-0.3420201433256669,"d":"-0.3420"},{"v":0.01802831123629613,"d":"0.0180"},{"v":0.8825641192593867,"d":"0.8826"},{"v":0.46984631039295216,"d":"0.4698"},{"v":0.37852230636979056,"d":"0.3785"},{"v":-0.4409696105298805,"d":"-0.4410"},{"v":0.8137976813493757,"d":"0.8138"},9.99999999999994,19.99999999999988,29.999999999999822,29.999999999999822,19.99999999999988,9.99999999999994]
[null,5,1,3,2,10,20,30,{"v":0.8137976813493757,"d":"0.8138"},{"v":0.37852230636979056,"d":"0.3785"},{"v":-0.4409696105298805,"d":"-0.4410"},{"v":-0.3420201433256669,"d":"-0.3420"},{"v":0.9254165783983243,"d":"0.9254"},{"v":0.16317591116653404,"d":"0.1632"},{"v":0.46984631039295216,"d":"0.4698"},{"v":0.01802831123629613,"d":"0.0180"},{"v":0.8825641192593867,"d":"0.8826"},9.99999999999994,19.99999999999988,29.999999999999822,9.99999999999994,29.999999999999822,19.99999999999988]
[null,6,2,1,3,10,20,30,{"v":0.8825641192593867,"d":"0.8826"},{"v":0.46984631039295216,"d":"0.4698"},{"v":0.01802831123629613,"d":"0.0180"},{"v":-0.4409696105298805,"d":"-0.4410"},{"v":0.8137976813493757,"d":"0.8138"},{"v":0.37852230636979056,"d":"0.3785"},{"v":0.16317591116653404,"d":"0.1632"},{"v":-0.3420201433256669,"d":"-0.3420"},{"v":0.9254165783983243,"d":"0.9254"},9.99999999999994,19.99999999999988,29.999999999999822,19.99999999999988,9.99999999999994,29.999999999999822]
[null,7,1,2,1,10,20,30,{"v":0.9396926207859091,"d":"0.9397"},{"v":0.05939117461388405,"d":"0.0594"},{"v":-0.33682408883346343,"d":"-0.3368"},{"v":0.17101007166283258,"d":"0.1710"},{"v":0.7712805763691782,"d":"0.7713"},{"v":0.6130920223795945,"d":"0.6131"},{"v":0.29619813272602274,"d":"0.2962"},{"v":-0.6337183608619932,"d":"-0.6337"},{"v":0.7146101771427595,"d":"0.7146"},9.99999999999994,19.999999999999876,29.999999999999822,9.99999999999994,19.999999999999876,29.999999999999822]
[null,8,2,3,2,10,20,30,{"v":0.7146101771427595,"d":"0.7146"},{"v":0.29619813272602274,"d":"0.2962"},{"v":-0.6337183608619932,"d":"-0.6337"},{"v":-0.33682408883346343,"d":"-0.3368"},{"v":0.9396926207859091,"d":"0.9397"},{"v":0.05939117461388405,"d":"0.0594"},{"v":0.6130920223795945,"d":"0.6131"},{"v":0.17101007166283258,"d":"0.1710"},{"v":0.7712805763691782,"d":"0.7713"},9.99999999999994,19.999999999999876,29.999999999999822,29.999999999999822,9.99999999999994,19.999999999999876]
[null,9,3,1,3,10,20,30,{"v":0.7712805763691782,"d":"0.7713"},{"v":0.6130920223795945,"d":"0.6131"},{"v":0.17101007166283258,"d":"0.1710"},{"v":-0.6337183608619932,"d":"-0.6337"},{"v":0.7146101771427595,"d":"0.7146"},{"v":0.29619813272602274,"d":"0.2962"},{"v":0.05939117461388405,"d":"0.0594"},{"v":-0.33682408883346343,"d":"-0.3368"},{"v":0.9396926207859091,"d":"0.9397"},9.99999999999994,19.999999999999876,29.999999999999822,19.999999999999876,29.999999999999822,9.99999999999994]
[null,10,3,2,3,10,20,30,{"v":0.7146101771427595,"d":"0.7146"},{"v":0.6337183608619932,"d":"0.6337"},{"v":-0.29619813272602274,"d":"-0.2962"},{"v":-0.6130920223795945,"d":"-0.6131"},{"v":0.7712805763691782,"d":"0.7713"},{"v":0.17101007166283258,"d":"0.1710"},{"v":0.33682408883346343,"d":"0.3368"},{"v":0.05939117461388405,"d":"0.0594"},{"v":0.9396926207859091,"d":"0.9397"},9.99999999999994,19.999999999999876,29.999999999999822,29.999999999999822,19.999999999999876,9.99999999999994]
[null,11,1,3,1,10,20,30,{"v":0.9396926207859091,"d":"0.9397"},{"v":0.33682408883346343,"d":"0.3368"},{"v":0.05939117461388405,"d":"0.0594"},{"v":-0.29619813272602274,"d":"-0.2962"},{"v":0.7146101771427595,"d":"0.7146"},{"v":0.6337183608619932,"d":"0.6337"},{"v":0.17101007166283258,"d":"0.1710"},{"v":-0.6130920223795945,"d":"-0.6131"},{"v":0.7712805763691782,"d":"0.7713"},9.99999999999994,19.999999999999876,29.999999999999822,9.99999999999994,29.999999999999822,19.999999999999876]
[null,12,2,1,2,10,20,30,{"v":0.7712805763691782,"d":"0.7713"},{"v":0.17101007166283258,"d":"0.1710"},{"v":-0.6130920223795945,"d":"-0.6131"},{"v":0.05939117461388405,"d":"0.0594"},{"v":0.9396926207859091,"d":"0.9397"},{"v":0.33682408883346343,"d":"0.3368"},{"v":0.6337183608619932,"d":"0.6337"},{"v":-0.29619813272602274,"d":"-0.2962"},{"v":0.7146101771427595,"d":"0.7146"},9.99999999999994,19.999999999999876,29.999999999999822,19.999999999999876,9.99999999999994,29.999999999999822]
[]
[null,"回転順序",{"$nulls":3},"回転角",null,null,"四元数の回転",{"$nulls":3},"回転順の角",null,null,"オイラー角"]
[null,"番号","１回目","２回目","３回目","１回目","２回目","３回目","G",{"$nulls":3},{"$f":"exe(\"OdrAng(G,No)\",\nM168:O168=odrang(QtnDcm(I168:L168),B168),\nM169:O169=odrang(QtnDcm(I169:L169),B169),\nM170:O170=odrang(QtnDcm(I170:L170),B170),\nM171:O171=odrang(QtnDcm(I171:L171),B171),\nM172:O172=odrang(QtnDcm(I172:L172),B172),\nM173:O173=odrang(QtnDcm(I173:L173),B173),\nM174:O174=odrang(QtnDcm(I174:L174),B174),\nM175:O175=odrang(QtnDcm(I175:L175),B175),\nM176:O176=odrang(QtnDcm(I176:L176),B176),\nM177:O177=odrang(QtnDcm(I177:L177),B177),\nM178:O178=odrang(QtnDcm(I178:L178),B178),\nM179:O179=odrang(QtnDcm(I179:L179),B179))","v":"OdrAng(G,No)"},null,null,{"$f":"exe(\"RtnAng(G,No)\",\nP168:R168=RtnAng(QtnDcm(I168:L168),B168),\nP169:R169=RtnAng(QtnDcm(I169:L169),B169),\nP170:R170=RtnAng(QtnDcm(I170:L170),B170),\nP171:R171=RtnAng(QtnDcm(I171:L171),B171),\nP172:R172=RtnAng(QtnDcm(I172:L172),B172),\nP173:R173=RtnAng(QtnDcm(I173:L173),B173),\nP174:R174=RtnAng(QtnDcm(I174:L174),B174),\nP175:R175=RtnAng(QtnDcm(I175:L175),B175),\nP176:R176=RtnAng(QtnDcm(I176:L176),B176),\nP177:R177=RtnAng(QtnDcm(I177:L177),B177),\nP178:R178=RtnAng(QtnDcm(I178:L178),B178),\nP179:R179=RtnAng(QtnDcm(I179:L179),B179))","v":"RtnAng(G,No)"}]
[null,"No","I1","I2","I3","A1","A2","A3",{"$f":"exe(\"G=QtnRtn(QtnRtn(RtnQtn(A1,I1),A2,I2),A3,I3)\",\nI168:L168=QtnRtn(QtnRtn(rtnqtn(F168,C168),G168,D168),H168,E168),\nI169:L169=QtnRtn(QtnRtn(rtnqtn(F169,C169),G169,D169),H169,E169),\nI170:L170=QtnRtn(QtnRtn(rtnqtn(F170,C170),G170,D170),H170,E170),\nI171:L171=QtnRtn(QtnRtn(rtnqtn(F171,C171),G171,D171),H171,E171),\nI172:L172=QtnRtn(QtnRtn(rtnqtn(F172,C172),G172,D172),H172,E172),\nI173:L173=QtnRtn(QtnRtn(rtnqtn(F173,C173),G173,D173),H173,E173),\nI174:L174=QtnRtn(QtnRtn(rtnqtn(F174,C174),G174,D174),H174,E174),\nI175:L175=QtnRtn(QtnRtn(rtnqtn(F175,C175),G175,D175),H175,E175),\nI176:L176=QtnRtn(QtnRtn(rtnqtn(F176,C176),G176,D176),H176,E176),\nI177:L177=QtnRtn(QtnRtn(rtnqtn(F177,C177),G177,D177),H177,E177),\nI178:L178=QtnRtn(QtnRtn(rtnqtn(F178,C178),G178,D178),H178,E178),\nI179:L179=QtnRtn(QtnRtn(rtnqtn(F179,C179),G179,D179),H179,E179))","v":"G=QtnRtn(QtnRtn(RtnQtn(A1,I1),A2,I2),A3,I3)"},{"$nulls":3},"１回目","２回目","３回目","１回目","２回目","３回目"]
[null,1,1,2,3,10,20,30,{"v":0.9437143641474895,"d":"0.9437"},{"v":0.12767944069577974,"d":"0.1277"},{"v":0.14487812541736858,"d":"0.1449"},{"v":0.26853582275156773,"d":"0.2685"},9.99999999999994,19.99999999999988,29.999999999999826,9.99999999999994,19.99999999999988,29.999999999999826]
[null,2,2,3,1,{"$f":"F168","v":10},20,30,{"v":0.9437143641474895,"d":"0.9437"},{"v":0.26853582275156773,"d":"0.2685"},{"v":0.12767944069577974,"d":"0.1277"},{"v":0.14487812541736858,"d":"0.1449"},9.99999999999994,19.99999999999988,29.999999999999826,29.999999999999826,9.99999999999994,19.99999999999988]
[null,3,3,1,2,10,20,30,{"v":0.9437143641474895,"d":"0.9437"},{"v":0.14487812541736858,"d":"0.1449"},{"v":0.26853582275156773,"d":"0.2685"},{"v":0.12767944069577974,"d":"0.1277"},9.99999999999994,19.99999999999988,29.999999999999826,19.99999999999988,29.999999999999826,9.99999999999994]
[null,4,3,2,1,10,20,30,{"v":0.951548524643789,"d":"0.9515"},{"v":0.23929833774472914,"d":"0.2393"},{"v":0.18930785741199893,"d":"0.1893"},{"v":0.03813457647485022,"d":"0.0381"},9.999999999999941,19.999999999999883,29.999999999999822,29.999999999999822,19.999999999999883,9.999999999999941]
[null,5,1,3,2,10,20,30,{"v":0.951548524643789,"d":"0.9515"},{"v":0.03813457647485022,"d":"0.0381"},{"v":0.23929833774472914,"d":"0.2393"},{"v":0.18930785741199893,"d":"0.1893"},9.999999999999941,19.999999999999883,29.999999999999822,9.999999999999941,29.999999999999822,19.999999999999883]
[null,6,2,1,3,10,20,30,{"v":0.951548524643789,"d":"0.9515"},{"v":0.18930785741199893,"d":"0.1893"},{"v":0.03813457647485022,"d":"0.0381"},{"v":0.23929833774472914,"d":"0.2393"},9.999999999999941,19.999999999999883,29.999999999999822,19.999999999999883,9.999999999999941,29.999999999999822]
[null,7,1,2,1,10,20,30,{"v":0.9254165783983241,"d":"0.9254"},{"v":0.33682408883346343,"d":"0.3368"},{"v":0.17101007166283344,"d":"0.1710"},{"v":-0.030153689607045477,"d":"-0.0302"},9.999999999999941,19.999999999999893,29.999999999999822,9.999999999999941,19.999999999999893,29.999999999999822]
[null,8,2,3,2,10,20,30,{"v":0.9254165783983241,"d":"0.9254"},{"v":-0.030153689607045477,"d":"-0.0302"},{"v":0.33682408883346343,"d":"0.3368"},{"v":0.17101007166283344,"d":"0.1710"},9.999999999999941,19.999999999999893,29.999999999999822,29.999999999999822,9.999999999999941,19.999999999999893]
[null,9,3,1,3,10,20,30,{"v":0.9254165783983241,"d":"0.9254"},{"v":0.17101007166283344,"d":"0.1710"},{"v":-0.030153689607045477,"d":"-0.0302"},{"v":0.33682408883346343,"d":"0.3368"},9.999999999999941,19.999999999999893,29.999999999999822,19.999999999999893,29.999999999999822,9.999999999999941]
[null,10,3,2,3,10,20,30,{"v":0.9254165783983241,"d":"0.9254"},{"v":0.030153689607045477,"d":"0.0302"},{"v":0.17101007166283344,"d":"0.1710"},{"v":0.33682408883346343,"d":"0.3368"},9.999999999999941,19.999999999999893,29.999999999999822,29.999999999999822,19.999999999999893,9.999999999999941]
[null,11,1,3,1,10,20,30,{"v":0.9254165783983241,"d":"0.9254"},{"v":0.33682408883346343,"d":"0.3368"},{"v":0.030153689607045477,"d":"0.0302"},{"v":0.17101007166283344,"d":"0.1710"},9.999999999999941,19.999999999999893,29.999999999999822,9.999999999999941,29.999999999999822,19.999999999999893]
[null,12,2,1,2,10,20,30,{"v":0.9254165783983241,"d":"0.9254"},{"v":0.17101007166283344,"d":"0.1710"},{"v":0.33682408883346343,"d":"0.3368"},{"v":0.030153689607045477,"d":"0.0302"},9.999999999999941,19.999999999999893,29.999999999999822,19.999999999999893,9.999999999999941,29.999999999999822]

{"sheet":"お問合せ","index":1,"n_rows":158,"n_cols":5,"rows_kept":158,"merged":[[3,2,3,6]]}
[]
[null,"技術的なご質問のみお受けします。"]
[]
[null,null,"sxsijk@Gmail.com","sxsijk@Gmail.com"]
{"$rows_empty":113}
[{"$nulls":4},{"$f":"C118-C$19","v":0}]
[{"$nulls":4},{"$f":"IF(C119<0,C119+360,C119)-IF(C$20<0,C$20+360,C$20)","v":0}]
[{"$nulls":4},{"$f":"C120-C$21","v":0}]
[]
[{"$nulls":4},{"$f":"C122-C$15","v":0}]
[{"$nulls":4},{"$f":"C123-C$16","v":0}]
[{"$nulls":4},{"$f":"C124-C$17","v":0}]
[{"$nulls":4},{"$f":"C125-C$18","v":0}]
[{"$nulls":4},{"$f":"C126-C$19","v":0}]
[{"$nulls":4},{"$f":"IF(C127<0,C127+360,C127)-IF(C$20<0,C$20+360,C$20)","v":0}]
[{"$nulls":4},{"$f":"C128-C$21","v":0}]
[{"$nulls":4},{"$f":"C129-C$22","v":0}]
[{"$nulls":4},{"$f":"C130-C$23","v":0}]
[{"$nulls":4},{"$f":"C131-C$24","v":0}]
[{"$nulls":4},{"$f":"C132-C$25","v":0}]
[]
[]
[null,null,35,null,{"$f":"C135-C$15","v":35}]
[null,"λp",null,null,{"$f":"C136-C$16","v":0}]
[{"$nulls":4},{"$f":"C137-C$17","v":0}]
[null,null,{"$f":"SQRT(((#REF!^2*COS(RADIANS(C135)))^2+(#REF!^2*SIN(RADIANS(C135)))^2)/(#REF!^2*(1-C$4*SIN(RADIANS(C135))^2)))","v":{"$error":"#REF!"}},null,{"$f":"C138-C$18","v":{"$error":"#REF!"}}]
[null,null,{"$f":"DEGREES(C141/C138)","v":{"$error":"#REF!"}},null,{"$f":"C139-C$23","v":{"$error":"#REF!"}}]
[{"$nulls":4},{"$f":"C140-C$24","v":0}]
[{"$nulls":4},{"$f":"C141-C$25","v":0}]
[{"$nulls":4},{"$f":"IF(C142<0,C142+360,C142)-IF(C$20<0,C$20+360,C$20)","v":0}]
[{"$nulls":4},{"$f":"C143-C$21","v":0}]
[null,null,{"$f":"DEGREES(ATAN2((1-C$4)*COS(RADIANS(C143)),SIN(RADIANS(C143))))","v":{"$error":"#VALUE!"}},null,{"$f":"C144-C$19","v":{"$error":"#VALUE!"}}]
[null,null,{"$f":"SQRT(((#REF!^2*COS(RADIANS(C144)))^2+(#REF!^2*SIN(RADIANS(C144)))^2)/(#REF!^2*(1-C$4*SIN(RADIANS(C144))^2)))","v":{"$error":"#REF!"}},null,{"$f":"C145-C$22","v":{"$error":"#REF!"}}]
[null,null,{"$f":"DEGREES(ACOS(COS(RADIANS(C$137))*COS(RADIANS(C143))*(COS(RADIANS(C$136))*COS(RADIANS(C142))+SIN(RADIANS(C$136))*SIN(RADIANS(C142)))+SIN(RADIANS(C$137))*SIN(RADIANS(C143))))","v":0},null,{"$f":"C146-C$23","v":0}]
[null,null,{"$f":"DEGREES(ATAN2(COS(RADIANS(C$137))*SIN(RADIANS(C143))-SIN(RADIANS(C$137))*COS(RADIANS(C143))*COS(RADIANS(C142-C$136)),COS(RADIANS(C143))*SIN(RADIANS(C142-C$136))))","v":{"$error":"#DIV/0!"}},null,{"$f":"C147-C$24","v":{"$error":"#DIV/0!"}}]
[null,null,{"$f":"SQRT(((C$138-C145)*COS(RADIANS(C146/2)))^2+(MAX(C$138,C145)*RADIANS(C146)-ABS(C$138-C145)*SIN(RADIANS(C146/2)))^2)","v":{"$error":"#REF!"}},null,{"$f":"C148-C$25","v":{"$error":"#REF!"}}]
["補正","θ＝θ+(d0-d)/r",{"$f":"C139+DEGREES((C141-C148)/C145)","v":{"$error":"#REF!"}},null,{"$f":"C149-C$23","v":{"$error":"#REF!"}}]
[null,null,{"$f":"C140","v":0},null,{"$f":"C150-C$24","v":0}]
[null,null,{"$f":"C141","v":0},null,{"$f":"C151-C$25","v":0}]
[{"$nulls":4},{"$f":"IF(C152<0,C152+360,C152)-IF(C$20<0,C$20+360,C$20)","v":0}]
[{"$nulls":4},{"$f":"C153-C$21","v":0}]
[null,null,{"$f":"DEGREES(ATAN2((1-C$4)*COS(RADIANS(C153)),SIN(RADIANS(C153))))","v":{"$error":"#VALUE!"}},null,{"$f":"C154-C$19","v":{"$error":"#VALUE!"}}]
[null,null,{"$f":"SQRT(((#REF!^2*COS(RADIANS(C154)))^2+(#REF!^2*SIN(RADIANS(C154)))^2)/(#REF!^2*(1-C$4*SIN(RADIANS(C154))^2)))","v":{"$error":"#REF!"}},null,{"$f":"C155-C$22","v":{"$error":"#REF!"}}]
[null,null,{"$f":"DEGREES(ACOS(COS(RADIANS(C$137))*COS(RADIANS(C153))*(COS(RADIANS(C$136))*COS(RADIANS(C152))+SIN(RADIANS(C$136))*SIN(RADIANS(C152)))+SIN(RADIANS(C$137))*SIN(RADIANS(C153))))","v":0},null,{"$f":"C156-C$23","v":0}]
[null,null,{"$f":"DEGREES(ATAN2(COS(RADIANS(C$137))*SIN(RADIANS(C153))-SIN(RADIANS(C$137))*COS(RADIANS(C153))*COS(RADIANS(C152-C$136)),COS(RADIANS(C153))*SIN(RADIANS(C152-C$136))))","v":{"$error":"#DIV/0!"}},null,{"$f":"C157-C$24","v":{"$error":"#DIV/0!"}}]
[null,null,{"$f":"SQRT(((C$138-C155)*COS(RADIANS(C156/2)))^2+(MAX(C$138,C155)*RADIANS(C156)-ABS(C$138-C155)*SIN(RADIANS(C156/2)))^2)","v":{"$error":"#REF!"}},null,{"$f":"C158-C$25","v":{"$error":"#REF!"}}]