X1195

3rd SARAGOSSA POINT OF X19

X1195 = crosspoint of X19 and X284
< 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) { 41, 71 }: Central Line L(41, 71) { 43, 165 }: Central Line L(43, 165) { 19, 208 }: Central Line L(19, 208) { 60, 283 }: Central Line L(60, 283) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_208 = -CEVA CONJUGATE OF X(34) (0.6242, -0.2728) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_1195 = 3rd SARAGOSSA POINT OF X(19) (0.6245, 0.2796) A B C X19 X284 X41 X71 X43 X165 X208 X60 X283 X1195 (a, b, c) = (5, 6, 7) | AB = 1

X1195 (3rd SARAGOSSA POINT OF X19) 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 X1166)
Search Value (6, 9, 13): \(1.233330449837\)
▸ Incident Central Lines4 lines

{19, 208}, {41, 71}, {43, 165}, {60, 283}

▸ Functional Relations2 relations