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Books Books 1 - 5 of 5 on E is a point on CA distinct from C and A, then there is a point F on AB such that....  
" E is a point on CA distinct from C and A, then there is a point F on AB such that D, E, F are collinear. "
Lectures on Fundamental Concepts of Algebra and Geometry - Page 157
by John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 247 pages
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LECTURES ON FUNDAMENTAL CONCEPTS OF ALGEBRA AND GEOMETRY

JOHN WESLEY YOUNG - 1911
...is called the plane ABO. It is then possible to prove that all points of the straight lines AB, BO, CA belong to the plane, and that every motion transforms...purpose is added the following assumption : 6. If A, B, 0 are three non-collinear points and D is a point of the line BO distinct from B, the plane ABD is...
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Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field

Jacob William Albert Young - Mathematics - 1911 - 416 pages
...and | ABC\ and \A'B'C'\, then (A, C) is congruent to (A', C'). X. (A, B) is congruent to (B, A). XI. If A, B, C are three non-collinear points and D is a point in the order \BCD\, and if A'B'C' are three non-collinear points and D' is a point in the order \B'C'D'\...
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Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field

Jacob William Albert Young - Mathematics - 1911 - 416 pages
...angles and other figures in a plane, we must introduce an additional assumption. Assumption XI. // A, B, C are three non-collinear points and D is a point in the order \BCD\, and if A'B'C' are three non-collinear points and D' is a point inthe order \B'C'D'\...
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Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field

Jacob William Albert Young - Mathematics - 1911 - 416 pages
...angles and other figures in a plane, we must introduce an additional assumption. Assumption XI. // A, B, C are three non-collinear points and D is a point in the order {BCD}, and if A'B'C' are three non-collinear points and D' is a point in the order \ B'C'D'...
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Fundamentals of Mathematics: Geometry

Heinrich Behnke - Mathematics - 1974 - 685 pages
...exist exactly two distinct points D' and D" with AD = A'D' s A'D" and BD = B'D' = B' D" (Fig. 7). V7 : If A, B, C are three noncollinear points and D is a point of the line joining A to B, and if A' , B', C', D' are four points with AB = A'B' ; BC = B'C'; AC = A'C' and AD...
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