X3701

X3216com(EXTOUCH TRIANGLE)

X3701 = excentral-to-ABC barycentric image of X3216
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 8, 210 }: Central Line L(8, 210) { 12, 313 }: Central Line L(12, 313) { 10, 321 }: Central Line L(10, 321) { 281, 318 }: Central Line L(281, 318) { 1, 996 }: Central Line L(1, 996) { 306, 857 }: Central Line L(306, 857) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1014 = ISOGONAL CONJUGATE OF X(210) (0.6222, 0.3285) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_318 = ISOTOMIC CONJUGATE OF X(77) (0.5514, 0.2839) X_1 = INCENTER (0.5714, 0.2333) X_996 = INTERSECTION OF LINES X(8)X(58) AND X(10)X(56) (0.5332, 0.2018) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_857 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(75) (-0.3133, -2.0259) X_3701 = com(EXTOUCH TRIANGLE) (0.4055, 0.0965) A B C X1014 X8 X210 X12 X313 X10 X321 X281 X318 X1 X996 X306 X857 X3701 (a, b, c) = (5, 6, 7) | AB = 1

X3701 (X3216com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(bc(b + c)(b + c - a) : :\)
Search Value (6, 9, 13): \(5.637647040288\)
▸ Incident Central Lines13 lines

{1, 996}, {5, 3006}, {8, 210}, {10, 321}, {12, 313}, {76, 3263}, {281, 318}, {306, 857}, {442, 1230}, {612, 964}, {740, 3214}, {1826, 3610}, {2901, 3293}

▸ Functional Relations2 relations