X1735

MIMOSA TRANSFORM OF X102

X1735 = crosssum of X31 and X2182
< 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, 3 }: OI Line (Incenter–Circumcenter Line) { 240, 522 }: Central Line L(240, 522) { 10, 1074 }: Central Line L(10, 1074) { 34, 1158 }: Central Line L(34, 1158) { 774, 1210 }: Central Line L(774, 1210) { 607, 1729 }: Central Line L(607, 1729) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_1074 = POINT ALNITAK (0.5447, 0.2250) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_1158 = CIRCUMCENTER OF EXTOUCH TRIANGLE (0.5179, 0.3262) X_774 = CROSSPOINT OF X(1) AND X(158) (0.6363, 0.3186) X_1210 = ISOGONAL CONJUGATE OF X(1167) (0.6144, 0.2754) X_607 = ISOGONAL CONJUGATE OF X(348) (0.6187, 0.3865) X_1729 = MIMOSA TRANSFORM OF X(85) (0.6667, 0.4631) X_1735 = MIMOSA TRANSFORM OF X(102) (0.8922, 0.8226) A B C X1 X3 X240 X522 X10 X1074 X34 X1158 X774 X1210 X607 X1729 X1735 (a, b, c) = (5, 6, 7) | AB = 1

X1735 (MIMOSA TRANSFORM OF X102) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X102
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.086369589453\)
▸ Incident Central Lines13 lines

{1, 3}, {10, 1074}, {34, 1158}, {109, 1870}, {240, 522}, {607, 1729}, {774, 1210}, {920, 1724}, {946, 1393}, {1711, 1720}, {1718, 1727}, {1730, 1905}, {1765, 1880}

▸ Functional Relations1 relation