X2236

X2-ISOCONJUGATE OF X733

X2236 = crosspoint of X1580 and 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) { 31, 75 }: Central Line L(31, 75) { 171, 385 }: Central Line L(171, 385) { 44, 513 }: Central Line L(44, 513) { 238, 1281 }: Central Line L(238, 1281) { 63, 1740 }: Central Line L(63, 1740) { 38, 1964 }: Central Line L(38, 1964) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1580 = POINT ALUDRA (1.3094, 1.2033) X_1966 = CROSSDIFFERENCE OF PU(36) (-93.0476, -83.6296) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_385 = -HIRST INVERSE OF X(6) (2.2863, 2.0795) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_1281 = 3rd SHARYGIN POINT (0.3110, 0.3100) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_1740 = MIMOSA TRANSFORM OF X(184) (0.7017, 0.3500) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_1964 = BICENTRIC SUM OF PU(36) (0.6058, 0.2641) X_2236 = -ISOCONJUGATE OF X(733) (2.2504, 2.0410) A B C X1580 X1966 X31 X75 X171 X385 X44 X513 X238 X1281 X63 X1740 X38 X1964 X2236 (a, b, c) = (5, 6, 7) | AB = 1

X2236 (X2-ISOCONJUGATE OF X733) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X733
Search Value (6, 9, 13): \(-6.885412913318\)
▸ Alternate Coordinates1 form

  • Trilinears: \((a^{4} - b^{2} c^{2}) (b^{2} + c^{2}) : :\)

▸ Incident Central Lines9 lines

{31, 75}, {38, 1964}, {44, 513}, {63, 1740}, {171, 385}, {238, 1281}, {1580, 1933}, {1923, 1930}, {1926, 1966}

▸ Functional Relations2 relations