The triangle T that is externally tangent to the excircles and forms their triangular hull is called the extangents triangle. It is homothetic to the orthic triangle, and the homothetic center is known as the Clawson point. The extangents triangle has trilinear vertex matrix [-(x + 1) | x + z | x + y y + z | -(y + 1) | y + x z + y | z + x | -(z + 1)], where x = cos A, y = cos B, z = cos C, or equivalently, [-a/((a + b - c)(a - b + c)) | (a + c)/((a - b + c)(a + b + c)) | (a + b)/((a + b - c)(a + b + c)) (b + c)/((-a + b + c)(a + b + c)) | -b/((a + b - c)(-a + b + c)) | (a + b)/((a + b - c)(a + b + c)) (b + c)/((-a + b + c)(a + b + c)) | (a + c)/((a - b + c)(a + b + c)) | -c/((-a + b + c)(a - b + c))].
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