X2082

NK-TRANSFORM OF X9

X2082 = X664-Ceva conjugate of X663
< 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) { 8, 9 }: Central Line L(8, 9) { 6, 19 }: Central Line L(6, 19) { 1, 41 }: Central Line L(1, 41) { 63, 194 }: Central Line L(63, 194) { 57, 279 }: Central Line L(57, 279) { 40, 672 }: Central Line L(40, 672) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_664 = TRILINEAR POLE OF LINE X(2)X(7) (0.2391, 0.5142) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_8 = NAGEL POINT (0.4694, 0.1333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1 = INCENTER (0.5714, 0.2333) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_194 = -CEVA CONJUGATE OF X(2) (0.6989, 0.3222) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_279 = ISOGONAL CONJUGATE OF X(220) (0.6236, 0.3540) X_40 = BEVAN POINT (0.4286, -0.0292) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_2082 = NK-TRANSFORM OF X(9) (0.5920, 0.2164) A B C X664 X663 X8 X9 X6 X19 X1 X41 X63 X194 X57 X279 X40 X672 X2082 (a, b, c) = (5, 6, 7) | AB = 1

X2082 (NK-TRANSFORM OF X9) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((b + c - a)[a^{2} + (b - c)^{2}] : :\)
Search Value (6, 9, 13): \(1.846971249358\)
▸ Alternate Coordinates2 forms

  • Trilinears: \(S_{B}S_{C} - a^{2}bc : :\)

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

▸ Incident Central Lines22 lines

{1, 41}, {6, 19}, {8, 9}, {32, 1951}, {40, 672}, {55, 1212}, {57, 279}, {63, 194}, {85, 673}, {198, 1108}, {213, 1572}, {218, 517}, {284, 1800}, {354, 1190}, {573, 1723}, {579, 1195}, {604, 610}, {614, 1184}, {1039, 1172}, {1055, 1420}, {1146, 1837}, {1743, 1766}

▸ Functional Relations8 relations