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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 210

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 210
s on a circle; and if AB, CDintersect in E: AC, BD in F; and AD, CB in G; show that the circledescribed on FG as diameter is the circle of similitude of the circles describedon AB and CD. Ex. 7. If 0 be the orthocentre, and G the median point of the triangleABC, show that the circle described on OG… … Let C, C be the centres of the giveu circles; S the givencentre of similitude, on the circle of similitude. If P be any point on the circle whose centre is C, the corre-sponding point P on the other circle will be such that the anglesGSP, GSP are equal and measured in the same sense (§ 214). Also…

Geometry

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