X896

INTERSECTION OF LINES X1X_21 AND X9X_750

X896 = crosssum of X1 and X896
< 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, 21 }: Central Line L(1, 21) { 162, 240 }: Central Line L(162, 240) { 238, 244 }: Central Line L(238, 244) { 44, 513 }: Central Line L(44, 513) { 9, 750 }: Central Line L(9, 750) { 57, 748 }: Central Line L(57, 748) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_897 = ISOGONAL CONJUGATE OF X(896) (0.9765, -0.0384) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_9 = MITTENPUNKT (0.5110, 0.1615) X_750 = INTERSECTION OF LINES X(1)X(88) AND X(2)X(31) (0.5675, 0.2354) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_748 = INTERSECTION OF LINES X(2)X(31) AND X(9)X(38) (0.4360, 0.0802) X_896 = INTERSECTION OF LINES X(1)X(21) AND X(9)X(750) (2.0357, 2.1579) A B C X897 X1 X21 X162 X240 X238 X244 X44 X513 X9 X750 X57 X748 X896 (a, b, c) = (5, 6, 7) | AB = 1

X896 (INTERSECTION OF LINES X1X_21 AND X9X_750) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(2a^{2} - b^{2} - c^{2} : :\)
Barycentrics: \(a(2a^{2} - b^{2} - c^{2}) : :\)
Search Value (6, 9, 13): \(-5.941112560743\)
▸ Incident Central Lines8 lines

{1, 21}, {9, 750}, {44, 513}, {57, 748}, {162, 240}, {171, 756}, {238, 244}, {518, 902}

▸ Functional Relations13 relations