An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 125
rem. 175. Ex. Show that the nine points in which any three concurrent linesintersect three other concurrent lines may be connected by eighteen lineswhich pass three by three through six points, which lie three by three on twoother straight lines. This theorem is a particular case of a more general… … TRIANGLES IN PERSPECTIVE. 109 BC cuts AG, AB in the points X, X respectively; if CA cuts BA,BG in the points Y, Y respectively; and if AB cuts GB, GA inthe points Z, Z respectively; then AX BY GZ AX BY GZGX AYBZ~ BX■ GY^■ AZ Let the axis of perspective of the two triangles cut BG, GA,ABin the…
Geometry
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