X1800

INVERSE MIMOSA TRANSFORM OF X155

X1800 = X21-Ceva conjugate of X283
< 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) { 3, 49 }: Central Line L(3, 49) { 21, 90 }: Central Line L(21, 90) { 46, 453 }: Central Line L(46, 453) { 29, 662 }: Central Line L(29, 662) { 1, 921 }: Central Line L(1, 921) { 65, 1813 }: Central Line L(65, 1813) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_90 = -CROSS CONJUGATE OF X(1) (0.1022, 0.0201) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_453 = POINT ALSHAIN (0.6610, 0.5233) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_1 = INCENTER (0.5714, 0.2333) X_921 = ISOGONAL CONJUGATE OF X(920) (7.0160, 1.3242) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1813 = INVERSE MIMOSA TRANSFORM OF X(650) (-0.1088, 0.3999) X_1800 = INVERSE MIMOSA TRANSFORM OF X(155) (0.7749, 0.2677) A B C X21 X283 X3 X49 X90 X46 X453 X29 X662 X1 X921 X65 X1813 X1800 (a, b, c) = (5, 6, 7) | AB = 1

X1800 (INVERSE MIMOSA TRANSFORM OF X155) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X155
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.385354249172\)
▸ Incident Central Lines6 lines

{1, 921}, {3, 49}, {21, 90}, {29, 662}, {46, 453}, {65, 1813}

▸ Functional Relations1 relation