X1631

TCC-PERSPECTOR OF X366

X1631 is the tcc-perspector of X366.
< 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) { 3, 142 }: Central Line L(3, 142) { 55, 199 }: Central Line L(55, 199) { 6, 560 }: Central Line L(6, 560) { 198, 480 }: Central Line L(198, 480) { 48, 674 }: Central Line L(48, 674) { 573, 692 }: Central Line L(573, 692) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_142 = COMPLEMENT OF X(9) (0.5506, 0.2192) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_199 = -CEVA CONJUGATE OF X(6) (0.4796, 0.0487) X_560 = 4th POWER POINT (0.6520, 0.3639) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_480 = -CEVA CONJUGATE OF X(220) (0.4089, 0.0793) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_674 = CROSSDIFFERENCE OF X(6) AND X(514) (0.2078, -0.2856) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_1631 = TCC-PERSPECTOR OF X(366) (0.4546, -0.0030) A B C X75 X6 X3 X142 X55 X199 X560 X198 X480 X48 X674 X573 X692 X1631 (a, b, c) = (5, 6, 7) | AB = 1

X1631 (TCC-PERSPECTOR OF X366) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(a^{3} - b^{3} - c^{3})\) (M. Iliev, 5/13/07)
Search Value (6, 9, 13): \(34.392369421952\)
▸ Incident Central Lines9 lines

{3, 142}, {6, 560}, {22, 1602}, {25, 1826}, {48, 674}, {55, 199}, {198, 480}, {573, 692}, {789, 1502}

▸ Functional Relations4 relations