[b]Proposition:[/b] [i]To construct on a given line a triangle with sides equal to three given lengths.[/i]
For the three lengths to form a triangle, the sum of any two sides must be greater than the remaining side.
Here, the constraint is enforced while still allowing a, b, c to be freely changed.
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Euclid, Elements, Book 1: [url]http://www.geogebratube.org/material/show/id/73650[/url]
