X2329

X2-ISOCONJUGATE OF X1431

X2329 = isogonal conjugate of X1432
< 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, 6 }: Incenter–Symmedian Line { 8, 41 }: Central Line L(8, 41) { 10, 98 }: Central Line L(10, 98) { 171, 172 }: Central Line L(171, 172) { 21, 644 }: Central Line L(21, 644) { 42, 904 }: Central Line L(42, 904) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_894 = ISOGONAL CONJUGATE OF X(893) (0.5501, 0.2184) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_1 = INCENTER (0.5714, 0.2333) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_8 = NAGEL POINT (0.4694, 0.1333) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_98 = TARRY POINT (0.8891, -0.2281) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_644 = TRILINEAR MULTIPLIER FOR YFF PARABOLA (-0.0171, 0.3359) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_904 = -HIRST INVERSE OF X(256) (0.6163, 0.2816) X_2329 = -ISOCONJUGATE OF X(1431) (0.5250, 0.1782) A B C X894 X171 X1 X6 X8 X41 X10 X98 X172 X21 X644 X42 X904 X2329 (a, b, c) = (5, 6, 7) | AB = 1

X2329 (X2-ISOCONJUGATE OF X1431) 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 X1431
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(3.329707623641\)
▸ Incident Central Lines19 lines

{1, 6}, {2, 1429}, {8, 41}, {10, 98}, {21, 644}, {35, 1018}, {42, 904}, {48, 2345}, {55, 2053}, {145, 2280}, {171, 172}, {281, 1973}, {284, 1043}, {318, 2202}, {346, 2268}, {404, 1055}, {419, 1215}, {594, 2174}, {1222, 1438}

▸ Functional Relations5 relations