Smart, Edward Howard · London : Macmillian and Co. · leaf 94
y stated. Cor. 1. The three perpendiculars from the vertices of aself-polar triangle on the opposite sides each pass through thecentre of the circle, and we have therefore the theorem : The centre of a circle is the orthocentre of every triangleself-con jugate with respect to it. Cor. 2. In like… … The line joining the centre of the circle to any point of therange is perpendicular to the polar of that point. Also all the polars pass through a common point, viz. thepole of the line on which the range is situated. Therefore the polars form a pencil, and since the anglebetween any two straight…
Geometry, Projective
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