Tell whether or not the statement is always true for a particular finite geometry. Statement 3-Point 4-Line 4-Point Fano Pappus Desargues UIS. ** SVCII TIIIC. Each point of the geometry lies on exactly three lines of the geometry. All the axioms are also true statements in ordinary Euclidean geometry. Changing the last axiom can result in Young's geometry.

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Tell whether or not the statement is always true for a particular finite geometry.
Statement
3-Point
4-Line
4-Point
Fano
Pappus Desargues
Each point of the geometry lies on
exactly three lines of the geometry.
All the
axioms
are
also
true
statements in ordir
Euclidean
geometry.
Changing the last axiom can result in
Young's geometry.
Transcribed Image Text:Tell whether or not the statement is always true for a particular finite geometry. Statement 3-Point 4-Line 4-Point Fano Pappus Desargues Each point of the geometry lies on exactly three lines of the geometry. All the axioms are also true statements in ordir Euclidean geometry. Changing the last axiom can result in Young's geometry.
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