X2330

X2-ISOCONJUGATE OF X1432

X2330 = X171-Ceva conjugate of X172
< 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) { 6, 31 }: Central Line L(6, 31) { 1, 182 }: Central Line L(1, 182) { 35, 511 }: Central Line L(35, 511) { 3, 611 }: Central Line L(3, 611) { 37, 692 }: Central Line L(37, 692) { 184, 612 }: Central Line L(184, 612) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1 = INCENTER (0.5714, 0.2333) X_182 = MIDPOINT OF BROCARD DIAMETER (0.5500, 0.1846) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_611 = INTERSECTION OF LINES X(1)X(6) AND X(55)X(511) (0.5730, 0.2352) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_612 = INTERSECTION OF LINES X(1)X(2) AND X(9)X(31) (0.5582, 0.2203) X_2330 = -ISOCONJUGATE OF X(1432) (0.5692, 0.2282) A B C X171 X172 X6 X31 X1 X182 X35 X511 X3 X611 X37 X692 X184 X612 X2330 (a, b, c) = (5, 6, 7) | AB = 1

X2330 (X2-ISOCONJUGATE OF X1432) 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 X1432
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.378317021449\)
▸ Incident Central Lines18 lines

{1, 182}, {3, 611}, {6, 31}, {9, 2175}, {12, 1503}, {33, 1974}, {35, 511}, {37, 692}, {41, 2053}, {59, 1442}, {172, 1691}, {184, 612}, {210, 2194}, {284, 2311}, {498, 1352}, {572, 2223}, {1376, 1958}, {1500, 1692}

▸ Functional Relations3 relations