[b]One Conditional Statement From Desargues's Theorem: [br][/b][br]If [color=#38761d][b]two triangles [/b][/color][b][color=#b45f06]are in perspective centrally[/color][/b], then [color=#9900ff][b]they are in perspective linearly.[br][br][/b][/color][color=#b45f06][b]The yellow point you see initially see is called the center of perspectivity. [br][/b][/color][color=#9900ff][b]The line that contains the resulting purple segment you see is called the axis of perspectivity. [/b][/color] [br][br]Wikipedia also provides a [color=#0000ff][b][url=https://en.wikipedia.org/wiki/Desargues's_theorem]detailed description[/url][/b][/color] of this fascinating theorem.