## Euclid's elements of geometryReprint of the original, first published in 1871. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost. |

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### Contents

First Book of the Elements | 64 |

42 | 76 |

Third Book of the Elements | 153 |

Fourth Book of the Elements | 171 |

Notes to the Fourth Book | 190 |

Fifth Book of the Elements | 257 |

259 | 294 |

Geometrical Exercises on Book VI | 302 |

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### Common terms and phrases

A₁ ABCD Algebraically angle BAC Apply base base BC bisected Book chord circle circumference common construction contained definition demonstrated described diagonals diameter difference divided double draw drawn equal equal angles equiangular equilateral triangle equimultiples Euclid exterior angle extremities fall figure four fourth Geometrical given circle given line given point given straight line greater half Hence inscribed intersection join less Let ABC line drawn magnitudes manner mean meet multiple opposite sides parallel parallelogram pass perpendicular problem produced Prop proportionals PROPOSITION proved Q.E.D. PROPOSITION radius ratio reason rectangle rectangle contained remaining respectively right angles segment shew shewn sides similar square taken tangent term THEOREM third triangle ABC twice units wherefore whole