X1568

ORTHOJOIN OF X800

X1568 = reflection of X125 in X2072
< 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) { 5, 51 }: Central Line L(5, 51) { 30, 113 }: Central Line L(30, 113) { 381, 394 }: Central Line L(381, 394) { 265, 539 }: Central Line L(265, 539) { 4, 801 }: Central Line L(4, 801) { 403, 511 }: Central Line L(403, 511) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_51 = CENTROID OF ORTHIC TRIANGLE (0.6093, 0.3186) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_381 = MIDPOINT OF X(2) AND X(4) (0.5748, 0.2979) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_265 = REFLECTION OF X(3) IN X(125) (0.8606, -0.0500) X_539 = DIRECTION OF VECTOR AX + BX + CX, where X = X(54) (1.0917, 0.3927) X_4 = ORTHOCENTER (0.6122, 0.3958) X_801 = ISOGONAL CONJUGATE OF X(800) (0.4263, 0.1232) X_403 = OF THE ORTHIC TRIANGLE (0.7040, 0.6358) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1568 = ORTHOJOIN OF X(800) (0.1362, -0.3019) A B C X5 X51 X30 X113 X381 X394 X265 X539 X4 X801 X403 X511 X1568 (a, b, c) = (5, 6, 7) | AB = 1

X1568 (ORTHOJOIN OF X800) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1512)
Search Value (6, 9, 13): \(0.894114918945\)
▸ Incident Central Lines6 lines

{4, 801}, {5, 51}, {30, 113}, {265, 539}, {381, 394}, {403, 511}

▸ Functional Relations1 relation