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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 54

An illustration from A first course in projective geometry, 1913, leaf 54
= 4-1 in each case Pig. 9. It follows then that AF BD CEBF ■ DC ■ EA or AF . BD . CE = - FB . DC . EA. Conversely. If D, E, F be taken on the sides so as to fulfilthis condition, these points are collinear.For let EF meet BC in D. Then AF. BD. CE = - FB . DC. EA by the preceding.But AF . BD . CE =…

Geometry, Projective

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