X270

ISOGONAL CONJUGATE OF X201

X270 is the isogonal conjugate of X201.
< 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) { 27, 58 }: Central Line L(27, 58) { 28, 60 }: Central Line L(28, 60) { 4, 162 }: Central Line L(4, 162) { 29, 283 }: Central Line L(29, 283) { 759, 933 }: Central Line L(759, 933) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_250 = ISOGONAL CONJUGATE OF X(125) (0.5892, 0.5347) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_4 = ORTHOCENTER (0.6122, 0.3958) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_759 = EVEN (1, 3) CIRCUMCIRCLE POINT (0.9498, -0.1389) X_933 = -CROSS CONJUGATE OF X(250) (0.4754, 0.6118) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) A B C X250 X162 X27 X58 X28 X60 X4 X29 X283 X759 X933 X270 (a, b, c) = (5, 6, 7) | AB = 1

X270 (ISOGONAL CONJUGATE OF X201) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\sec A)/[1 + \cos(B - C)] : (\sec B)/[1 + \cos(C - A)] : (\sec C)/[1 + \cos(A - B)]\)
Barycentrics: \((\tan A)/[1 + \cos(B - C)] : (\tan B)/[1 + \cos(C - A)] : (\tan C)/[1 + \cos(A - B)]\)
Search Value (6, 9, 13): \(10.222825530075\)
▸ Incident Central Lines5 lines

{4, 162}, {27, 58}, {28, 60}, {29, 283}, {759, 933}

▸ Functional Relations6 relations