X2355

X2-ISOCONJUGATE OF X1796

X2355 = crosspoint of X19 and X28
< 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) { 19, 25 }: Central Line L(19, 25) { 28, 60 }: Central Line L(28, 60) { 27, 242 }: Central Line L(27, 242) { 430, 1213 }: Central Line L(430, 1213) { 46, 1707 }: Central Line L(46, 1707) { 24, 1871 }: Central Line L(24, 1871) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_430 = EULER X(81)-5th-SUBSTITUTION POINT (0.6091, 0.3875) X_1213 = ISOGONAL CONJUGATE OF X(1171) (0.5294, 0.1914) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_1707 = MIMOSA TRANSFORM OF X(6) (0.7574, 0.4777) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_1871 = ZOSMA TRANSFORM OF X(498) (0.6168, 0.4040) X_2355 = -ISOCONJUGATE OF X(1796) (0.6268, 0.4312) A B C X19 X28 X25 X60 X27 X242 X430 X1213 X46 X1707 X24 X1871 X2355 (a, b, c) = (5, 6, 7) | AB = 1

X2355 (X2-ISOCONJUGATE OF X1796) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X1796
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-1.137380805105\)
▸ Incident Central Lines17 lines

{19, 25}, {24, 1871}, {27, 242}, {28, 60}, {46, 1707}, {51, 2182}, {184, 2262}, {407, 1842}, {427, 1890}, {428, 1861}, {430, 1213}, {468, 1848}, {1395, 1880}, {1426, 1452}, {1841, 2160}, {2180, 2253}, {2225, 2333}

▸ Functional Relations3 relations