X2795

ISOGONAL CONJUGATE OF X2711

X2795 is the isogonal conjugate of X2711.
< 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) { 21, 99 }: Central Line L(21, 99) { 115, 120 }: Central Line L(115, 120) { 30, 511 }: Central Line L(30, 511) { 98, 1292 }: Central Line L(98, 1292) { 148, 1655 }: Central Line L(148, 1655) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2711 = SR(X(99), X(105)) (0.1084, 0.4293) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_99 = STEINER POINT (0.1109, 0.4322) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_98 = TARRY POINT (0.8891, -0.2281) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_148 = STEINER POINT OF ANTICOMPLEMENTARY TRIANGLE (1.3904, -0.2646) X_1655 = 2nd HATZIPOLAKIS PARALLELIAN POINT (0.5787, 0.2312) X_2795 = ISOGONAL CONJUGATE OF X(2711) (0.0366, 0.5058) A B C X2711 X21 X99 X115 X120 X30 X511 X98 X1292 X148 X1655 X2795 (a, b, c) = (5, 6, 7) | AB = 1

X2795 (ISOGONAL CONJUGATE OF X2711) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X2711
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines8 lines

{21, 99}, {30, 511}, {98, 1292}, {115, 120}, {148, 1655}, {1358, 3027}, {3021, 3023}, {3029, 3034}

▸ Functional Relations5 relations