X1794

INVERSE MIMOSA TRANSFORM OF X35

X1794 = cevapoint of X71 and X212
< 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) { 10, 29 }: Central Line L(10, 29) { 35, 71 }: Central Line L(35, 71) { 1, 201 }: Central Line L(1, 201) { 77, 255 }: Central Line L(77, 255) { 36, 951 }: Central Line L(36, 951) { 498, 1754 }: Central Line L(498, 1754) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_1 = INCENTER (0.5714, 0.2333) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_951 = ISOGONAL CONJUGATE OF X(950) (0.5800, 0.2727) X_498 = YFF CONCURRENT CONGRUENT CIRCLES POINT (0.5518, 0.2140) X_1754 = MIMOSA TRANSFORM OF X(284) (0.6792, 0.4313) X_1794 = INVERSE MIMOSA TRANSFORM OF X(35) (0.4762, 0.0851) A B C X71 X212 X10 X29 X35 X1 X201 X77 X255 X36 X951 X498 X1754 X1794 (a, b, c) = (5, 6, 7) | AB = 1

X1794 (INVERSE MIMOSA TRANSFORM OF X35) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X35
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(4.804205692879\)
▸ Incident Central Lines8 lines

{1, 201}, {10, 29}, {35, 71}, {36, 951}, {77, 255}, {498, 1754}, {1059, 1617}, {1479, 1751}

▸ Functional Relations3 relations