Euclid Vindicated from Every Blemish: Book Two

  • Gerolamo Saccheri
Part of the Classic Texts in the Sciences book series (CTS, volume 1)


For the most part, this book will require the use of reasoning only. For in this matter Euclid has been only accused for having obscured and not explained (in Elements V, def. 6) the nature of equiproportional magnitudes, and that in doing this, he took upon himself the burden of proving many Propositions which can be most clearly understood of themselves, or at least, when explanations have been brought to bear by him, understood more clearly. Moreover, he is accused of having assumed, in Elements VI, def. 5, under the cloak of definition, a certain Axiom not easily granted without proof.


Element Versus Euclidean Axiom Part Book Homologous Side Similar Polygon 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Gerolamo Saccheri
    • 1
  1. 1.BaselSwitzerland

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