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• Euclid's Elements, Book I, Guide

  A gentle introduction to Book I For someone unfamiliar with the Elements it may take a while to see what's going on. The place to start is here, in Book I, the first of 13 books. It includes basic...

• Euclid's Elements, Subject Index

  inscribed figures     circle in a pentagon   IV.13     circle in a rectilinear figure   IV.Def.5     circle inscribed in a square   IV.8     circle inscribed in a triangle   IV.4     hexagon ins...

• Euclid's Elements, Book X, Proposition 48

  BA does not have to AC the ratio which a square number has to a square number, neither, therefore, has the square on EF to the square on FG the ratio which a square number has to a square number. ...

• Euclid's Elements, Book X, Proposition 54

  AE is greater than the square on ED by the square on a straight line commensurable with AE, therefore, if there is applied to the greater AE a parallelogram equal to the fourth part of the square o...

• Euclid's Elements, Book I

  Guide About the Definitions The Elements begins with a list of definitions. Some of these indicate little more than certain concepts will be discussed, such as Def.I.1, Def.I.2, and Def.I.5, whic...

• Euclid's Elements, Book X, Definitions III

  Definitions III Definition 1. Given a rational straight line and an apotome, if the square on the whole is greater than the square on the annex by the square on a straight line commensurable in length...