X₃₈₇₀

X₂₈₈₆com[INVERSE(n(3rd EULER TRIANGLE))]

X₃₈₇₀ = perspector of Gemini triangle 29 and tangential triangle, wrt ABC, of {ABC, Gemini 29}-circumconic

5, 6, 7 3, 4, 5 Kepler Kimberling

X₃₈₇₀ (X₂₈₈₆com[INVERSE(n(3rd EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {1, 2}, {55, 63}

• Related Centers: X₂₁₉₁ (-ISOCONJUGATE OF X₂₁₈), X₁ (INCENTER), X₂ (CENTROID), X₅₅ (INSIMILICENTER), X₆₃ (ISOGONAL CONJUGATE OF X₁₉)

Barycentrics: \(a(a^{2} + b^{2} + c^{2} - 2ab - 2ac) : :\)

Search Value (6, 9, 13): \(-0.603961741198\)

▸ Incident Central Lines41 lines

{1, 2}, {3, 3555}, {6, 3692}, {7, 3174}, {9, 1174}, {31, 1331}, {33, 92}, {38, 2177}, {55, 63}, {57, 100}, {65, 224}, {72, 3295}, {149, 1699}, {165, 3218}, {193, 2293}, {210, 1001}, {226, 2900}, {329, 390}, {354, 1376}, {388, 3189}, {404, 3333}, {495, 3419}, {497, 908}, {528, 1836}, {664, 1088}, {902, 1707}, {950, 3436}, {960, 3303}, {962, 1490}, {968, 984}, {1005, 1697}, {1320, 3577}, {1445, 1617}, {1708, 2078}, {1709, 2801}, {2136, 3340}, {2550, 3475}, {2975, 3601}, {3242, 3666}, {3421, 3488}, {3711, 3740}

▸ Functional Relations4 relations

• X₃₈₇₀ = isogonal conjugate of X₂₁₉₁

• X₃₈₇₀ = anticomplement of X₄₈₄₇

• X₃₈₇₀ = X₁₁₅₅₀-of-excentral-triangle

• X₃₈₇₀ = perspector of Gemini triangle 29 and tangential triangle, wrt ABC, of {ABC, Gemini 29}-circumconic