Let ABC be a triangle, let A', B', C' be the midpoints of BC, CA, AB. Let L_a be the perpendicular through A' to the line X(618)A'. Define L_b, L_c cyclically. Then X(5459) is the center of the equilateral triangle A''B''C'' bounded by L_a, L_b, L_c. The circumcircle of A''B''C'' passes through X(14081) and X(32552) and has squared radius (3 sqrt(3) S^3 + 9 S^2 SW + 3 sqrt(3) S SW^2 + SW^3)/(9 (3 S^2 + 2 sqrt(3) S SW + SW^2)). This circle (A''B''C'') is here named 1st Suppa circle. The 2nd Suppa circle is defined at X(5460)
(Euclid 8675, August 28, 2025)
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X(5960)
Let ABC be a triangle, let A', B', C' be the midpoints of BC, CA, AB. Let L_a be the
perpendicular through A' to the line X(619)A'. Define L_b, L_c cyclically.
Then X(5460) is the center of the equilateral triangle A''B''C'' bounded by L_a, L_b, L_c.
The circumcircle of A''B''C'' passes through X(14082) and X(32553)and has squared
radius (-3 sqrt(3) S^3 + 9 S^2 SW - 3 sqrt(3) S SW^2 + SW^3)/(9 (3 S^2 - 2 sqrt(3) S SW + SW^2)).
The circle (A''B''C'') is here named 2nd Suppa circle. The 1st Suppa circle is defined at X(5459)
(Euclid 8675, August 28, 2025)
