X1946

BICENTRIC DIFFERENCE OF PU(19)

X1946 = bicentric difference of PU(19)
< 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) { 187, 237 }: Central Line L(187, 237) { 3, 905 }: Central Line L(3, 905) { 810, 822 }: Central Line L(810, 822) { 35, 1734 }: Central Line L(35, 1734) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_237 = -LINE CONJUGATE OF X(2) (0.9894, 1.3825) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_810 = CROSSPOINT OF X(1) AND X(163) (3.1222, -0.5010) X_822 = CROSSDIFFERENCE OF X(1) AND X(29) (6.5481, -0.2984) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_1734 = MIMOSA TRANSFORM OF X(101) (10.6667, -1.6330) X_1946 = BICENTRIC DIFFERENCE OF PU(19) (4.0131, -0.4483) A B C X187 X237 X3 X905 X810 X822 X35 X1734 X1946 (a, b, c) = (5, 6, 7) | AB = 1

X1946 (BICENTRIC DIFFERENCE OF PU(19)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\sin 2A)(\cos B - \cos C) : :\)
Search Value (6, 9, 13): \(-5.755004643402\)
▸ Incident Central Lines7 lines

{3, 905}, {35, 1734}, {105, 2724}, {110, 2714}, {187, 237}, {650, 2202}, {810, 822}

▸ Functional Relations10 relations