Two Equal Straight Lines can be Constructed from Point to Straight Line

Theorem

Let $AB$ be a straight line.

Let $C$ be a point which is not on $AB$.

Then exactly $2$ straight lines $CD$ and $CE$ can be drawn such that $CD = CE$ and $D, E$ on $AB$.

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 $1.21$: Corollary