X2268

X2-ISOCONJUGATE OF X959

X2268 = {X37,X48}-harmonic conjugate of X9310
< 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) { 37, 48 }: Central Line L(37, 48) { 9, 21 }: Central Line L(9, 21) { 6, 31 }: Central Line L(6, 31) { 73, 478 }: Central Line L(73, 478) { 1, 572 }: Central Line L(1, 572) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_9 = MITTENPUNKT (0.5110, 0.1615) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_478 = CENTER OF YIU CONIC (0.5030, -0.3520) X_1 = INCENTER (0.5714, 0.2333) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_2268 = -ISOCONJUGATE OF X(959) (0.5539, 0.1993) A B C X37 X48 X9 X21 X6 X31 X73 X478 X1 X572 X2268 (a, b, c) = (5, 6, 7) | AB = 1

X2268 (X2-ISOCONJUGATE OF X959) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a \cos A + b + c : :\)
Search Value (6, 9, 13): \(2.531302396884\)
▸ Incident Central Lines30 lines

{1, 572}, {2, 1958}, {3, 1400}, {6, 31}, {9, 21}, {19, 1831}, {33, 1474}, {35, 573}, {37, 48}, {44, 584}, {45, 2174}, {73, 478}, {219, 1334}, {281, 2202}, {312, 2185}, {346, 2329}, {380, 2082}, {608, 1593}, {748, 992}, {750, 851}, {941, 987}, {950, 964}, {968, 2187}, {1212, 2264}, {1438, 2297}, {1449, 1697}, {1903, 2188}, {1950, 2199}, {2112, 2310}, {2261, 2302}

▸ Functional Relations4 relations