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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 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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 72RE
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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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