X3708

X150com(EXTOUCH TRIANGLE)

X3708 = excentral-to-ABC barycentric image of X150
< 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) { 1, 163 }: Central Line L(1, 163) { 115, 1365 }: Central Line L(115, 1365) { 523, 1146 }: Central Line L(523, 1146) { 525, 1565 }: Central Line L(525, 1565) { 19, 2159 }: Central Line L(19, 2159) { 31, 2157 }: Central Line L(31, 2157) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_1365 = BRISSE TRANSFORM OF X(110) (0.7771, 0.1231) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_1146 = CENTER OF HYPERBOLA {{A,B,C,X(2),X(8)}} (0.6866, 0.0428) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_1565 = ORTHOJOIN OF X(657) (0.7114, 0.0321) X_19 = CLAWSON POINT (0.6246, 0.4244) X_2159 = -ISOCONJUGATE OF X(30) (0.8357, -0.4858) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_2157 = -ISOCONJUGATE OF X(23) (0.8254, -0.2862) X_3708 = com(EXTOUCH TRIANGLE) (0.7157, 0.0317) A B C X1 X163 X115 X1365 X523 X1146 X525 X1565 X19 X2159 X31 X2157 X3708 (a, b, c) = (5, 6, 7) | AB = 1

X3708 (X150com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b^{2} - c^{2})^{2}(b^{2} + c^{2} - a^{2})\)
Search Value (6, 9, 13): \(2.770012014367\)
▸ Linear Combinations1 combination
▸ Incident Central Lines13 lines

{1, 163}, {19, 2159}, {31, 2157}, {115, 1365}, {512, 3022}, {523, 1146}, {525, 1565}, {774, 2179}, {811, 1821}, {1725, 1755}, {2170, 2611}, {2631, 2632}, {2642, 2643}

▸ Functional Relations6 relations