X2929

TANGENTIAL-ISOGONAL CONJUGATE OF X20

X2929 is the tangential-isogonal conjugate of X20.
< 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) { 195, 389 }: Central Line L(195, 389) { 24, 1192 }: Central Line L(24, 1192) { 22, 1620 }: Central Line L(22, 1620) { 186, 2917 }: Central Line L(186, 2917) { 1658, 2918 }: Central Line L(1658, 2918) { 4, 2935 }: Central Line L(4, 2935) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_195 = -CEVA CONJUGATE OF X(3) (0.6761, 0.3331) X_389 = CENTER OF THE TAYLOR CIRCLE (0.6078, 0.2800) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_1192 = 2nd SARAGOSSA POINT OF X(64) (0.6404, 0.3340) X_22 = EXETER POINT (0.4143, -0.1221) X_1620 = TCC-PERSPECTOR OF X(64) (0.7357, 0.4914) X_186 = INVERSE-IN-CIRCUMCIRCLE OF X(4) (0.7957, 0.8758) X_2917 = TANGENTIAL-ISOGONAL CONJUGATE OF X(4) (0.4220, -0.4724) X_1658 = CIRCUMCENTER OF KOSNITA TRIANGLE (0.3191, -0.3713) X_2918 = TANGENTIAL-ISOGONAL CONJUGATE OF X(5) (0.4510, -0.0916) X_4 = ORTHOCENTER (0.6122, 0.3958) X_2935 = TANGENTIAL-ISOGONAL CONJUGATE OF X(186) (0.0611, 2.4859) X_2929 = TANGENTIAL-ISOGONAL CONJUGATE OF X(20) (0.6368, 0.3026) A B C X20 X195 X389 X24 X1192 X22 X1620 X186 X2917 X1658 X2918 X4 X2935 X2929 (a, b, c) = (5, 6, 7) | AB = 1

X2929 (TANGENTIAL-ISOGONAL CONJUGATE OF X20) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.435353051867\)
▸ Incident Central Lines6 lines

{4, 2935}, {22, 1620}, {24, 1192}, {186, 2917}, {195, 389}, {1658, 2918}

▸ Functional Relations1 relation