X3971

X2com[INVERSE(n(INCENTRAL TRIANGLE))]

X3971 = incentral-to-ABC barycentric image of X2
< 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) { 43, 192 }: Central Line L(43, 192) { 10, 321 }: Central Line L(10, 321) { 171, 190 }: Central Line L(171, 190) { 2, 726 }: Central Line L(2, 726) { 37, 714 }: Central Line L(37, 714) { 354, 537 }: Central Line L(354, 537) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_2 = CENTROID (0.5374, 0.2000) X_726 = EVEN (- 2, -1) INFINITY POINT (1.0187, 0.5358) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_714 = EVEN (- 3, - 1) INFINITY POINT (1.0302, 0.5186) X_354 = WEILL POINT (0.5823, 0.2533) X_537 = DIRECTION OF VECTOR AX + BX + CX, where X = X(38) (-0.0190, 0.3866) X_3971 = com[INVERSE(n(INCENTRAL TRIANGLE))] (0.6036, 0.2461) A B C X43 X192 X10 X321 X171 X190 X2 X726 X37 X714 X354 X537 X3971 (a, b, c) = (5, 6, 7) | AB = 1

X3971 (X2com[INVERSE(n(INCENTRAL TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \((b + c)(bc - ca - ab) : :\)
Search Value (6, 9, 13): \(0.618014032423\)
▸ Incident Central Lines16 lines

{1, 979}, {2, 726}, {10, 321}, {37, 714}, {43, 192}, {171, 190}, {210, 740}, {312, 984}, {354, 537}, {519, 3681}, {536, 3740}, {894, 1961}, {1211, 3773}, {1757, 1999}, {2901, 3678}, {3263, 3663}

▸ Functional Relations2 relations