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picture1_Geometry Pdf 166743 | Wang,j


picture2_Geometry Pdf 166743 | Wang,j picture3_Geometry Pdf 166743 | Wang,j

 105x       Filetype PDF       File size 0.24 MB       Source: math.uchicago.edu


File: Geometry Pdf 166743 | Wang,j
GEOMETRIC CONSTRUCTIONS AND ALGEBRAIC FIELD EXTENSIONS JENNYWANG Abstract. In this paper, we study eld extensions obtained by polynomial rings and maximal ideals in order to determine whether solutions exist to ...

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

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...Geometric constructions and algebraic field extensions jennywang abstract in this paper we study eld obtained by polynomial rings maximal ideals order to determine whether solutions exist three ancient greek construction problems squaring the circle doubling cube trisecting an angle contents introduction principal ideal domains division impossibility of acknowledgments references much mathematics was based geometry one particular point interest determining which elements could be constructed using only unmarked straightedge a compass it is quick classroom ex ercise for example construct congruent circles perpendicular lines constructibility some other however less immediate can con struct square with same area as any given second twice volume trisect answer these questions turn structures nature under standable if motivation studying not entirely apparent aim build fundamental understanding or der possibility certain without having explicitly themselves begin proving relevant results a...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 24 Jan 2023 | 2 years ago
										
										
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Filetype: PDF
										
File size: 0.24 MB
										
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