X1928
ISOGONAL CONJUGATE OF X1917
5, 6, 7
3, 4, 5
Kepler
Kimberling
< 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)
A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1917 = TRILINEAR 6th POWER POINT (0.6636, 0.4181) X_1928 = ISOGONAL CONJUGATE OF X(1917) (0.3248, 0.0702)
A
B
C
X1917
X1928
(a, b, c) = (5, 6, 7) | AB = 1
< 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)
A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6400, 0.4800) X_1917 = TRILINEAR 6th POWER POINT (0.6865, 0.3878) X_1928 = ISOGONAL CONJUGATE OF X(1917) (0.2183, 0.0284)
A
B
C
X1917
X1928
(a, b, c) = (3, 4, 5) | AB = 1
< 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)
A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6180, 0.4859) X_1917 = TRILINEAR 6th POWER POINT (0.6587, 0.3982) X_1928 = ISOGONAL CONJUGATE OF X(1917) (0.2560, 0.0315)
A
B
C
X1917
X1928
Kepler (1, √φ, φ) | AB = 1
< 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)
A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6331, 0.2801) X_1917 = TRILINEAR 6th POWER POINT (0.6564, 0.2591) X_1928 = ISOGONAL CONJUGATE OF X(1917) (0.1258, 0.0051)
A
B
C
X1917
X1928
Kimberling (6, 9, 13) | AB = 1
X1928 (ISOGONAL CONJUGATE OF X1917 ) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\) .
Trilinears: \(1/a^{6} : 1/b^{6} : 1/c^{6}\)
Barycentrics: \(1/a^{5} : 1/b^{5} : 1/c^{5}\)
Search Value (6, 9, 13): \(6.843570372644\)
▸ Functional Relations7 relations
Notes
X1928 21235 . (Randy Hutson , October 15, 2018)
