The following applet illustrates one conditional statement of [color=#0000ff][b]Desargues's Theorem. [/b][/color] [br][br]Study the dynamics of this applet carefully. How would you describe what you see? [br]Try putting it into words.

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. [br][br]This applet illustrates one conditional statement from this theorem (which is actually a biconditional.)[br]This applet shows that 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.[/b][/color] [br][br][color=#b45f06][b]The yellow point you see initially see is called the center of perspectivity. [/b][/color] [br][color=#9900ff][b]The line that contains the resulting purple segment you see is called the axis of perspectivity. [/b][/color] [br]