X1514

ORTHOJOIN OF X3

X1514 = orthopole of orthic axis
< 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, 6 }: Van Aubel Line { 30, 113 }: Central Line L(30, 113) { 74, 403 }: Central Line L(74, 403) { 187, 1516 }: Central Line L(187, 1516) 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_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_403 = OF THE ORTHIC TRIANGLE (0.7040, 0.6358) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_1516 = ORTHOJOIN OF X(5) (2.7335, 1.6430) X_1514 = ORTHOJOIN OF X(3) (0.6818, 1.1255) A B C X4 X6 X30 X113 X74 X403 X187 X1516 X1514 (a, b, c) = (5, 6, 7) | AB = 1

X1514 (ORTHOJOIN OF X3) 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 X1512)
Search Value (6, 9, 13): \(-7.958256147711\)
▸ Incident Central Lines4 lines

{4, 6}, {30, 113}, {74, 403}, {187, 1516}

▸ Functional Relations1 relation

  • X1514 = orthopole of orthic axis