X1882

ZOSMA TRANSFORM OF X581

< 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) { 12, 37 }: Central Line L(12, 37) { 4, 65 }: Central Line L(4, 65) { 92, 960 }: Central Line L(92, 960) { 5, 1214 }: Central Line L(5, 1214) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_4 = ORTHOCENTER (0.6122, 0.3958) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_960 = INTERSECTION OF LINES X(1)X(6) AND X(5)X(10) (0.5041, 0.1533) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_1214 = ISOGONAL CONJUGATE OF X(1172) (0.5087, 0.1180) X_1882 = ZOSMA TRANSFORM OF X(581) (0.6131, 0.4060) A B C X12 X37 X4 X65 X92 X960 X5 X1214 X1882 (a, b, c) = (5, 6, 7) | AB = 1

X1882 (ZOSMA TRANSFORM OF X581) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: (y + z) sec A : (z + x) sec B : (x + y) sec C,\(x : y : z\) = X581
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X581
Search Value (6, 9, 13): \(-1.944183770965\)
▸ Incident Central Lines4 lines

{4, 65}, {5, 1214}, {12, 37}, {92, 960}