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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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