Abstract
About 100 a.d. Menelaus of Alexandria extended a then well-known lemma to spherical triangles in his Sphaerica, which is extant in an Arabic translation. In plane geometry this lemma is known as Menelaus’ Theorem. The well-known lemma that is now called Pappus’ Theorem may be found in Pappus’ Collection. It is quite likely that both Menelaus’ Theorem and Pappus’ Theorem were known to Euclid, since both appear in the Collection as lemmas that are useful for an understanding of the now lost book Porisms by Euclid.
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© 1975 Springer-Verlag New York, Inc.
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Martin, G.E. (1975). Quadrature of the Circle. In: The Foundations of Geometry and the Non-Euclidean Plane. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5725-7_34
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DOI: https://doi.org/10.1007/978-1-4612-5725-7_34
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5727-1
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