An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 178
y point A, we can always construct a triangle havingone vertex at A, which shall be self-conjugate with respect to agiven circle. Let any point B be taken on the polar of A, and letthe polar of 5 cut the polar of Aia the point C. Then the triangleABC is self-conjugate with respect to the circle.… … 11 162 PROPERTIES OF SELF-CONJUGATE TRIANGLES. circle whose centre is 0, it is easy to see that 0 must be the ortho-centre of the triangle. For, since A is the pole of BC, OA isperpendicular to BG. Similarly, OB, OG are perpendicular to CAand AB respectively. Let OA meet BG in X, and let r denote…
Geometry
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