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picture1_Geometry Pdf 166396 | 2 Dimensional Axiomatic Geometry Revisiteoutline 1668m8c


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File: Geometry Pdf 166396 | 2 Dimensional Axiomatic Geometry Revisiteoutline 1668m8c
2 dimensional axiomatic geometry revisited abstract we sketch a pedagogically motivated development of 2 dimensional axiomatic geometry that uses isometries and proves not just consistency of the theory but categoricity ...

icon picture PDF Filetype PDF | Posted on 24 Jan 2023 | 2 years ago

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...Dimensional axiomatic geometry revisited abstract we sketch a pedagogically motivated development of that uses isometries and proves not just consistency the theory but categoricity as well let x be metric space diameter d line in is subset isometric to either real or circle circumference if finite segment compact connected convex it contains whenever s endpoints satisfies following axioms incidence two points distance lie on unique separation complement every union disjoint nonempty sets called sides any with its different intersects reflection for there an isometry fixes interchanges proof sphere positive radius euclidean plane hyperbolic negative curvature spirit comes from bolyai lobachevsky author has rediscovered some parts his own other old texts motivations approach study spaces la gromov include so congruence simple universal definition side angle principle theorem spherical simultaneously prove independence parallel postulate which usual goal undergraduate courses notation p ...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
							
					 
							
						

						
						
						
				

														
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 24 Jan 2023 | 2 years ago
										
										
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Filetype: PDF
										
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Uploaded by:
										Andy yahya
											

												Andy yahya