Prove that each point has exactly 1 polar in Desargues' configuration.

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milcah answered 2 years ago

Prove that through a point P there are exactly 3 lines parallel to p, the polar...

Prove that through a point P there are exactly 3 lines parallel to p, the polar of P.

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1. Consider the following axiomatic system: A1: Each point is incident to exactly 2 lines. A2:...

1. Consider the following axiomatic system: A1: Each point is incident to exactly 2 lines. A2: For each pair of distinct lines, there is a point that is incident to both lines. A3: There are exactly 5 lines. (a) Pick one of the three axioms and prove that it is independent from the other axioms in the system. Be sure to justify your answer. (b) Find the minimum number of points present in a model for this system. Be sure...

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Prove that each point has exactly 1 polar in Desargues' configuration.

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