X1200

3rd SARAGOSSA POINT OF X55

X1200 is the {X55,X1190}-harmonic conjugate of X41. For a list of other harmonic conjugates, click Tables at the top of this page.
< 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, 55 }: Central Line L(41, 55) { 43, 165 }: Central Line L(43, 165) { 57, 279 }: Central Line L(57, 279) { 171, 294 }: Central Line L(171, 294) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_279 = ISOGONAL CONJUGATE OF X(220) (0.6236, 0.3540) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_294 = ISOGONAL CONJUGATE OF X(241) (0.9276, -0.0575) X_1200 = 3rd SARAGOSSA POINT OF X(55) (0.5972, 0.2387) A B C X55 X57 X41 X43 X165 X279 X171 X294 X1200 (a, b, c) = (5, 6, 7) | AB = 1

X1200 (3rd SARAGOSSA POINT OF X55) 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): \(1.627335932391\)
▸ Incident Central Lines4 lines

{41, 55}, {43, 165}, {57, 279}, {171, 294}

▸ Functional Relations2 relations