Tell whether or not the statement is always true for a particular finite geometry. Statement 3-Point 4-Line 4-Point Fano Pappus Desargues F Cac V there of exisIs them. one e on meAd Wo OI iewer other geomeury paralel to it. ven line, lines -- ---- the tty One line paralle to the aien li Each point of the ceomt exactly three lines of the geomGay All the also true statem - Eucjuean geomery. Chaina the loet Young's geometry. For each set of three points, there is exactly one line containing them. If a point is not on a given line, then there is at least one point on the line not lying on any line through the given point. m canre

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Author:Erwin Kreyszig
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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
ints there
------
exists
one
of
them.
inehas wo 01 Tewer other
llel to it.
ven line,
lines
geometry pUiu.
------
the
tty Une lline paralle to
the ci
Each point of the cooat lie on
exactly three lines or uhegeomcay.
All the
also
true
Euclidean
state m.
geomery.
Chaoing the lest
Young's geometry.
For each set of three points, there is
exactly one line containing them.
If a point is not on a given line, then
there is at least one point on the line
not lying on any line through the
given point.
Am can p e
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 ints there ------ exists one of them. inehas wo 01 Tewer other llel to it. ven line, lines geometry pUiu. ------ the tty Une lline paralle to the ci Each point of the cooat lie on exactly three lines or uhegeomcay. All the also true Euclidean state m. geomery. Chaoing the lest Young's geometry. For each set of three points, there is exactly one line containing them. If a point is not on a given line, then there is at least one point on the line not lying on any line through the given point. Am can p e
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