“... starts with parallel postulate of Euclid''s Elements and uses four lemmas: parallel lines...”
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Subjects: “...Parallel postulate...”
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Subjects: “...Parallel postulate...”
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“... result. Euclid's parallel postulate is independent of the remaining Euclidean axioms of geometry...”
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“... of discrete subgroups and their fundamental domains (fundamental regions). A brief history of Euclids Parallel...”
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“... as the Pasch's Postulate, however, our main fundamentation is on the Parallel Postulate....”
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“... geometry and their relationship to each other. Then, we expose a new proof that Euclid’s parallel postulate...”
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“... difference between them is the parallel postulate....”
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