X2654

SUM OF PU(82)

X2654 = X1-Ceva conjugate of X2658
< 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, 4 }: Incenter–Orthocenter Line { 212, 405 }: Central Line L(212, 405) { 201, 517 }: Central Line L(201, 517) { 65, 774 }: Central Line L(65, 774) { 11, 1193 }: Central Line L(11, 1193) { 410, 823 }: Central Line L(410, 823) 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_2658 = SUM OF PU(83) (0.5613, 0.1772) X_4 = ORTHOCENTER (0.6122, 0.3958) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_405 = EULER LINE INTERCEPT OF LINE X(1)X(6) (0.5325, 0.1870) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_774 = CROSSPOINT OF X(1) AND X(158) (0.6363, 0.3186) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1193 = 3rd SARAGOSSA POINT OF X(1) (0.5959, 0.2573) X_410 = EULER X(29)-1st-SUBSTITUTION POINT (0.5800, 0.3115) X_823 = ISOGONAL CONJUGATE OF X(822) (0.5623, 0.6035) X_2654 = SUM OF PU(82) (0.5822, 0.2761) A B C X1 X2658 X4 X212 X405 X201 X517 X65 X774 X11 X1193 X410 X823 X2654 (a, b, c) = (5, 6, 7) | AB = 1

X2654 (SUM OF PU(82)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(2 \sec A + \sec B + \sec C\)
Search Value (6, 9, 13): \(-45.345465934465\)
▸ Incident Central Lines17 lines

{1, 4}, {8, 2318}, {11, 1193}, {21, 1936}, {37, 1953}, {42, 1837}, {65, 774}, {201, 517}, {212, 405}, {410, 823}, {603, 1012}, {652, 2657}, {851, 2646}, {1042, 1836}, {1046, 1776}, {1065, 1067}, {1858, 2310}

▸ Functional Relations6 relations