X2363

X2-ISOCONJUGATE OF X2092

X2363 = isogonal conjugate of X2292
< 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, 37 }: Central Line L(21, 37) { 10, 58 }: Central Line L(10, 58) { 65, 81 }: Central Line L(65, 81) { 27, 225 }: Central Line L(27, 225) { 19, 270 }: Central Line L(19, 270) { 75, 757 }: Central Line L(75, 757) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2292 = -ISOCONJUGATE OF X(1169) (0.5509, 0.2064) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_19 = CLAWSON POINT (0.6246, 0.4244) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_757 = ISOGONAL CONJUGATE OF X(756) (0.5971, 0.2688) X_2363 = -ISOCONJUGATE OF X(2092) (0.5894, 0.2610) A B C X2292 X21 X37 X10 X58 X65 X81 X27 X225 X19 X270 X75 X757 X2363 (a, b, c) = (5, 6, 7) | AB = 1

X2363 (X2-ISOCONJUGATE OF X2092) 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 X2092
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.185237068231\)
▸ Incident Central Lines12 lines

{1, 849}, {10, 58}, {19, 270}, {21, 37}, {27, 225}, {31, 1098}, {60, 1610}, {65, 81}, {75, 757}, {409, 1104}, {662, 1193}, {741, 1581}

▸ Functional Relations4 relations