X2285

X2-ISOCONJUGATE OF X1036

X2285 = crosssum of X9 and X1697
< 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) { 2, 7 }: Centroid–Gergonne Line { 6, 19 }: Central Line L(6, 19) { 37, 56 }: Central Line L(37, 56) { 1, 572 }: Central Line L(1, 572) { 46, 573 }: Central Line L(46, 573) { 208, 429 }: Central Line L(208, 429) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2339 = -ISOCONJUGATE OF X(1460) (0.5270, 0.1731) X_2 = CENTROID (0.5374, 0.2000) X_7 = GERGONNE POINT (0.5903, 0.2769) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_1 = INCENTER (0.5714, 0.2333) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_208 = -CEVA CONJUGATE OF X(34) (0.6242, -0.2728) X_429 = EULER X(58)-5th-SUBSTITUTION POINT (0.6024, 0.3700) X_2285 = -ISOCONJUGATE OF X(1036) (0.6228, 0.3008) A B C X2339 X2 X7 X6 X19 X37 X56 X1 X572 X46 X573 X208 X429 X2285 (a, b, c) = (5, 6, 7) | AB = 1

X2285 (X2-ISOCONJUGATE OF X1036) 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 X1036
Search Value (6, 9, 13): \(0.487722982943\)
▸ Alternate Coordinates2 forms

  • Trilinears: \(a^{2}\)bc + \(S_{B}\)\(S_{C}\) : \(b^{2}\)ca + \(S_{C}\)\(S_{A}\) : \(c^{2}\)ab + \(S_{A}\)\(S_{B}\) (César Lozada, 9/07/2013)

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

▸ Incident Central Lines32 lines

{1, 572}, {2, 7}, {6, 19}, {32, 1950}, {37, 56}, {40, 2269}, {41, 610}, {46, 573}, {169, 1046}, {194, 2128}, {198, 1466}, {208, 429}, {380, 2280}, {388, 2345}, {583, 1732}, {612, 1460}, {851, 2092}, {966, 1788}, {968, 1011}, {1038, 2303}, {1041, 1172}, {1100, 2099}, {1182, 2252}, {1404, 1449}, {1454, 2245}, {1470, 2178}, {1475, 2257}, {1903, 2213}, {2197, 2276}, {2199, 2312}, {2267, 2294}, {2270, 2347}

▸ Functional Relations3 relations