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Desargues' Theorem -- from Wolfram MathWorld

If the three straight lines joining the corresponding vertices of two triangles ABC and A^'B^'C^' all meet in a point (the perspector), then the three intersections of pairs of corresponding sides lie on a straight line (the perspectrix). Equivalently, if two triangles are perspective from a point, they are perspective from a line. The 10 lines and 10 3-line intersections form a 10_3 configuration sometimes called Desargues' configuration. Desargues' theorem is self-dual.



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Desargues' Theorem -- from Wolfram MathWorld

https://mathworld.wolfram.com/DesarguesTheorem.html

If the three straight lines joining the corresponding vertices of two triangles ABC and A^'B^'C^' all meet in a point (the perspector), then the three intersections of pairs of corresponding sides lie on a straight line (the perspectrix). Equivalently, if two triangles are perspective from a point, they are perspective from a line. The 10 lines and 10 3-line intersections form a 10_3 configuration sometimes called Desargues' configuration. Desargues' theorem is self-dual.



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https://mathworld.wolfram.com/DesarguesTheorem.html

Desargues' Theorem -- from Wolfram MathWorld

If the three straight lines joining the corresponding vertices of two triangles ABC and A^'B^'C^' all meet in a point (the perspector), then the three intersections of pairs of corresponding sides lie on a straight line (the perspectrix). Equivalently, if two triangles are perspective from a point, they are perspective from a line. The 10 lines and 10 3-line intersections form a 10_3 configuration sometimes called Desargues' configuration. Desargues' theorem is self-dual.

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      Desargues' Theorem -- from Wolfram MathWorld
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      If the three straight lines joining the corresponding vertices of two triangles ABC and A^'B^'C^' all meet in a point (the perspector), then the three intersections of pairs of corresponding sides lie on a straight line (the perspectrix). Equivalently, if two triangles are perspective from a point, they are perspective from a line. The 10 lines and 10 3-line intersections form a 10_3 configuration sometimes called Desargues' configuration. Desargues' theorem is self-dual.
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      If the three straight lines joining the corresponding vertices of two triangles ABC and A^'B^'C^' all meet in a point (the perspector), then the three intersections of pairs of corresponding sides lie on a straight line (the perspectrix). Equivalently, if two triangles are perspective from a point, they are perspective from a line. The 10 lines and 10 3-line intersections form a 10_3 configuration sometimes called Desargues' configuration. Desargues' theorem is self-dual.

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      Desargues' Theorem -- from Wolfram MathWorld
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      If the three straight lines joining the corresponding vertices of two triangles ABC and A^'B^'C^' all meet in a point (the perspector), then the three intersections of pairs of corresponding sides lie on a straight line (the perspectrix). Equivalently, if two triangles are perspective from a point, they are perspective from a line. The 10 lines and 10 3-line intersections form a 10_3 configuration sometimes called Desargues' configuration. Desargues' theorem is self-dual.

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      If the three straight lines joining the corresponding vertices of two triangles ABC and A^'B^'C^' all meet in a point (the perspector), then the three intersections of pairs of corresponding sides lie on a straight line (the perspectrix). Equivalently, if two triangles are perspective from a point, they are perspective from a line. The 10 lines and 10 3-line intersections form a 10_3 configuration sometimes called Desargues' configuration. Desargues' theorem is self-dual.
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