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In Fano's Geometry, change Axiom 2 to say four instead of three. Leave the other axioms unchanged, including the original Axiom 5. Draw a model
In Fano's Geometry, change Axiom 2 to say four" instead of "three. Leave the other axioms unchanged, including the original Axiom 5. Draw a model for this new geometry. Call the lines L1, L2, and L3, etc., and call the points A, B, C, etc. Below is a list of the axioms. Axioms: . There exists at least one line. Every line of the geometry has exactly four points on it. Not all the points of the geometry are on the same line. For each two distinct points, there exists exactly one line on both of them. Each two lines have at least one point on both of them. . Draw ONE figure using ALL 5 axioms. In Fano's Geometry, change Axiom 2 to say four" instead of "three. Leave the other axioms unchanged, including the original Axiom 5. Draw a model for this new geometry. Call the lines L1, L2, and L3, etc., and call the points A, B, C, etc. Below is a list of the axioms. Axioms: . There exists at least one line. Every line of the geometry has exactly four points on it. Not all the points of the geometry are on the same line. For each two distinct points, there exists exactly one line on both of them. Each two lines have at least one point on both of them. . Draw ONE figure using ALL 5 axioms
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