X1780

MIMOSA TRANSFORM OF X1175

X1780 = X27-Ceva conjugate of X284
< 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, 21 }: Central Line L(1, 21) { 28, 46 }: Central Line L(28, 46) { 35, 71 }: Central Line L(35, 71) { 4, 580 }: Central Line L(4, 580) { 90, 1172 }: Central Line L(90, 1172) { 219, 1333 }: Central Line L(219, 1333) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_4 = ORTHOCENTER (0.6122, 0.3958) X_580 = ORTHOGONAL OF X(284) (0.7089, 0.4470) X_90 = -CROSS CONJUGATE OF X(1) (0.1022, 0.0201) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_1333 = POINT ALULA (0.6308, 0.3181) X_1780 = MIMOSA TRANSFORM OF X(1175) (0.7511, 0.4694) A B C X27 X284 X1 X21 X28 X46 X35 X71 X4 X580 X90 X1172 X219 X1333 X1780 (a, b, c) = (5, 6, 7) | AB = 1

X1780 (MIMOSA TRANSFORM OF X1175) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1175
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.812713649060\)
▸ Incident Central Lines13 lines

{1, 21}, {3, 1779}, {4, 580}, {27, 1770}, {28, 46}, {29, 1737}, {35, 71}, {90, 1172}, {219, 1333}, {579, 1474}, {1010, 1098}, {1214, 1399}, {1408, 1617}

▸ Functional Relations1 relation