X1464

X758-BETH CONJUGATE OF X758

X1464 = crosspoint of X1 and X74
< 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) { 1, 30 }: Central Line L(1, 30) { 42, 65 }: Central Line L(42, 65) { 56, 58 }: Central Line L(56, 58) { 513, 663 }: Central Line L(513, 663) { 3, 1406 }: Central Line L(3, 1406) { 354, 1064 }: Central Line L(354, 1064) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_1 = INCENTER (0.5714, 0.2333) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1406 = -BETH CONJUGATE OF X(46) (0.6653, 0.5088) X_354 = WEILL POINT (0.5823, 0.2533) X_1064 = INTERSECTION OF LINES X(1)X(4) AND X(3)X(31) (0.5648, 0.2070) X_1464 = -BETH CONJUGATE OF X(758) (0.8584, 0.9843) A B C X758 X1 X30 X42 X65 X56 X58 X513 X663 X3 X1406 X354 X1064 X1464 (a, b, c) = (5, 6, 7) | AB = 1

X1464 (X758-BETH CONJUGATE OF X758) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((1 - \cos A)(b + c)(b^{2} + c^{2} - a^{2} - bc) : :\)
Search Value (6, 9, 13): \(-0.309246957287\)
▸ Incident Central Lines8 lines

{1, 30}, {3, 1406}, {42, 65}, {56, 58}, {320, 1443}, {354, 1064}, {513, 663}, {1407, 1470}

▸ Functional Relations5 relations