X1965

CROSSSUM OF PU(36)

X1965 = X1581-Ceva conjugate of X1966
< 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) { 19, 27 }: Central Line L(19, 27) { 2, 292 }: Central Line L(2, 292) { 31, 561 }: Central Line L(31, 561) { 332, 375 }: Central Line L(332, 375) { 38, 799 }: Central Line L(38, 799) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1581 = ISOGONAL CONJUGATE OF X(1580) (1.0304, 0.0330) X_1966 = CROSSDIFFERENCE OF PU(36) (-93.0476, -83.6296) X_19 = CLAWSON POINT (0.6246, 0.4244) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_2 = CENTROID (0.5374, 0.2000) X_292 = -HIRST INVERSE OF X(291) (1.0127, 0.0417) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_561 = ISOGONAL CONJUGATE OF 4th POWER POINT (0.4126, 0.1125) X_332 = ISOTOMIC CONJUGATE OF X(225) (0.3595, 0.0434) X_375 = CENTROID OF THE PEDAL TRIANGLE OF X(10) (0.5509, 0.2326) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_799 = ISOGONAL CONJUGATE OF X(798) (0.0470, 0.3636) X_1965 = CROSSSUM OF PU(36) (0.5176, 0.2066) A B C X1581 X1966 X19 X27 X2 X292 X31 X561 X332 X375 X38 X799 X1965 (a, b, c) = (5, 6, 7) | AB = 1

X1965 (CROSSSUM OF PU(36)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(b^{2}c^{2}(a^{4} + b^{2}c^{2}) : :\)
Search Value (6, 9, 13): \(3.115298035025\)
▸ Incident Central Lines5 lines

{2, 292}, {19, 27}, {31, 561}, {38, 799}, {332, 375}

▸ Functional Relations4 relations