X1358

BRISSE TRANSFORM OF X101

X1358 = X244-cross conjugate of X1086
< A B C >: Reference Triangle △ABC < K_a K_b K_c >: Anticomplementary Triangle △K_a K_b K_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 3039 }: Central Line L(2, 3039) { 12, 85 }: Central Line L(12, 85) { 56, 105 }: Central Line L(56, 105) { 7, 528 }: Central Line L(7, 528) { 11, 1111 }: Central Line L(11, 1111) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) K_a = Anticomplementary Vertex K_a (1.6122, 0.5999) K_b = Anticomplementary Vertex K_b (-0.3878, 0.5999) K_c = Anticomplementary Vertex K_c (0.3878, -0.5999) X_2 = CENTROID (0.5374, 0.2000) X_3039 = COMPLEMENT OF X(1358) (0.4127, 0.2280) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_7 = GERGONNE POINT (0.5903, 0.2769) X_528 = DIRECTION OF VECTOR AX + BX + CX, where X = X(11) (1.0237, -0.1286) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1111 = TRILINEAR SQUARE OF X(514) (0.7470, 0.0849) X_1358 = BRISSE TRANSFORM OF X(101) (0.7869, 0.1440) A B C Ka Kb Kc X2 X3039 X12 X85 X56 X105 X7 X528 X11 X1111 X1358 (a, b, c) = (5, 6, 7) | AB = 1

X1358 (BRISSE TRANSFORM OF X101) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\tan^{2}(A/2) \sin^{2}(B/2 - C/2) : :\)
Search Value (6, 9, 13): \(0.758471767064\)

X1358 lies on the incircle.

▸ Incident Central Lines11 lines

{7, 528}, {11, 1111}, {12, 85}, {55, 1292}, {56, 105}, {65, 1362}, {269, 1359}, {553, 1366}, {1120, 1125}, {1122, 1361}, {1319, 1323}

▸ Functional Relations11 relations