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Pappus’s Two General Propositions and Euclid’s First Porism

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Simson on Porisms
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Abstract

This consists of Simson’s Propositions 7–25 and includes his conjectures for the ten cases of Pappus’s first general Proposition (Propositions 7, 8, 10–16, 19), the second general Proposition (Proposition 21), Euclid’s first Porism (Proposition 23) and various applications and extensions of these results. Pappus’s Lemmas 1–9 for the Porisms are developed in the course of this Part (see Appendix 3).

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© 2000 Springer-Verlag London

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Tweddle, I. (2000). Pappus’s Two General Propositions and Euclid’s First Porism. In: Simson on Porisms. Sources in the History of Mathematics and Physical Sciences. Springer, London. https://doi.org/10.1007/978-1-4471-3673-6_3

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  • DOI: https://doi.org/10.1007/978-1-4471-3673-6_3

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84996-862-1

  • Online ISBN: 978-1-4471-3673-6

  • eBook Packages: Springer Book Archive

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