X1950

CROSSSUM OF PU(20)

X1950 = X1949-Ceva conjugate of X1951
< 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) { 109, 284 }: Central Line L(109, 284) { 19, 577 }: Central Line L(19, 577) { 3, 608 }: Central Line L(3, 608) { 6, 1195 }: Central Line L(6, 1195) { 65, 1333 }: Central Line L(65, 1333) { 37, 1415 }: Central Line L(37, 1415) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1949 = TRILINEAR POLE OF PU(19) (0.7687, -0.1166) X_1951 = CROSSDIFFERENCE OF PU(20) (3.2396, 6.6676) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_19 = CLAWSON POINT (0.6246, 0.4244) X_577 = HARMONIC OF X(216) (0.4663, 0.0464) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_608 = ISOGONAL CONJUGATE OF X(345) (0.6361, 0.4975) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1195 = 3rd SARAGOSSA POINT OF X(19) (0.6245, 0.2796) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1333 = POINT ALULA (0.6308, 0.3181) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_1415 = -BETH CONJUGATE OF X(101) (0.4138, 0.6170) X_1950 = CROSSSUM OF PU(20) (0.5478, 0.2410) A B C X1949 X1951 X109 X284 X19 X577 X3 X608 X6 X1195 X65 X1333 X37 X1415 X1950 (a, b, c) = (5, 6, 7) | AB = 1

X1950 (CROSSSUM OF PU(20)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a(\cos^{2} A + \cos B \cos C) : :\)
Search Value (6, 9, 13): \(0.664475814038\)
▸ Incident Central Lines8 lines

{3, 608}, {6, 1195}, {19, 577}, {37, 1415}, {65, 1333}, {109, 284}, {604, 1403}, {1011, 1395}

▸ Functional Relations4 relations