A conic associated with X(2), X(6), X(13), X(14), X(15), X(16)

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Let ABC be a triangle, P be a point in the plane. The circle (BPC) meets AB, AC again at A_c, A_b Define B_c, B_a, C_a, C_b cyclically. If P=X(2), or X(6), or X(13, or X(14), or X(15), or X(16)...... then six points C_c, A_b, B_c, B_a, C_b, C_a lie on a conic. If P=X(6) the conic is a circle.

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Đào Thanh Oai — July 1, 2022 - 5:11 AM

Resource Type: Activity
Tags: class collection conic conic-sections triangles
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Target Group (Age): 3 – 19+
Language: English

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A conic associated with X(2), X(6), X(13), X(14), X(15), X(16)

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