X1582

POINT CANOPUS

X1582 = crosssum of PU(35)
< 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, 19 }: Central Line L(1, 19) { 6, 291 }: Central Line L(6, 291) { 75, 560 }: Central Line L(75, 560) { 82, 662 }: Central Line L(82, 662) { 238, 992 }: Central Line L(238, 992) { 978, 1472 }: Central Line L(978, 1472) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1967 = TRILINEAR POLE OF PU(36) (1.0067, 0.0434) X_1580 = POINT ALUDRA (1.3094, 1.2033) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_291 = 2nd SHARYGIN POINT (1.0249, 0.0364) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_560 = 4th POWER POINT (0.6520, 0.3639) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_992 = INTERSECTION OF LINES X(2)X(6) AND X(9)X(39) (0.2678, -0.0897) X_978 = -CEVA CONJUGATE OF X(1) (0.7456, 0.4040) X_1472 = -BETH CONJUGATE OF X(1036) (0.6306, 0.3134) X_1582 = POINT CANOPUS (0.5834, 0.2762) A B C X1967 X1580 X1 X19 X6 X291 X75 X560 X82 X662 X238 X992 X978 X1472 X1582 (a, b, c) = (5, 6, 7) | AB = 1

X1582 (POINT CANOPUS) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a^{4} + b^{2}c^{2} : :\)
Search Value (6, 9, 13): \(1.157123723965\)
▸ Incident Central Lines6 lines

{1, 19}, {6, 291}, {75, 560}, {82, 662}, {238, 992}, {978, 1472}

▸ Functional Relations5 relations