Parallel Lines which intercept Equal Segments on Transversals
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Theorem
Let $3$ or more parallel lines intersect equal line segments on one transversal.
Then those same $3$ or more parallel lines intersect equal line segments on every transversal.
Proof
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Sources
- 1968: M.N. Aref and William Wernick: Problems & Solutions in Euclidean Geometry ... (previous) ... (next): Chapter $1$: Triangles and Polygons: Theorems and Corollaries $1.25$