X1868

ZOSMA TRANSFORM OF X387

< 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) { 4, 8 }: Fuhrmann Line { 34, 37 }: Central Line L(34, 37) { 226, 429 }: Central Line L(226, 429) { 29, 894 }: Central Line L(29, 894) { 228, 1593 }: Central Line L(228, 1593) { 65, 1826 }: Central Line L(65, 1826) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_8 = NAGEL POINT (0.4694, 0.1333) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_429 = EULER X(58)-5th-SUBSTITUTION POINT (0.6024, 0.3700) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_894 = ISOGONAL CONJUGATE OF X(893) (0.5501, 0.2184) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_1593 = POINT CEBALRAI (0.5972, 0.3563) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1826 = ZOSMA TRANSFORM OF X(6) (0.6052, 0.3795) X_1868 = ZOSMA TRANSFORM OF X(387) (0.6052, 0.3829) A B C X4 X8 X34 X37 X226 X429 X29 X894 X228 X1593 X65 X1826 X1868 (a, b, c) = (5, 6, 7) | AB = 1

X1868 (ZOSMA TRANSFORM OF X387) 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,\(x : y : z\) = X387
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X387
Search Value (6, 9, 13): \(-11.622175617496\)
▸ Incident Central Lines7 lines

{4, 8}, {29, 894}, {34, 37}, {65, 1826}, {210, 1869}, {226, 429}, {228, 1593}