The Journal of the Indian Mathematical Society

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Self-Conjugate Triangles


     

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Consider the conic

u/x + r/y + w/z = 0

circumscribed about the triangle of reference. If D, E, F be points on the sides of the triangle of reference ABC, the conditions that DEF may be self-conjugate with respect to the conic are

(i) AD, BE, CF should be concurrent,

(ii) the point of concourse should lie on the conic.


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  • Self-Conjugate Triangles

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Abstract


Consider the conic

u/x + r/y + w/z = 0

circumscribed about the triangle of reference. If D, E, F be points on the sides of the triangle of reference ABC, the conditions that DEF may be self-conjugate with respect to the conic are

(i) AD, BE, CF should be concurrent,

(ii) the point of concourse should lie on the conic.