## The Elements of Euclid |

### From inside the book

Results 1-5 of 42

Page iii

TO THIS LDITION ARE ALSO AXNESED , ELEMENTS OF PLANE AND

TO THIS LDITION ARE ALSO AXNESED , ELEMENTS OF PLANE AND

**SPHERICAL**TRIGONOMETRY . 1 PHILADELPHIA : PUBLISHED BY JOHNSON AND WARNER , AND SOLD AT THEIR BOOKSTORES IN PHILADELPHIA , RICHIMOND , ( Vir . ) AND LEXINGTON , ( Ken . ) ... Page viii

... besides , the translation is much amended by the friendly assistance of a learned gentleman . To which are also added , the Elements of . Plane and

... besides , the translation is much amended by the friendly assistance of a learned gentleman . To which are also added , the Elements of . Plane and

**Spherical**Trigonometry ; which are commonly taught after the Elements of Euclid . Page 197

A

A

**sphere**is a solid figure described by the revolution of a semicircle about its diameter , which remains unmoved . ... The diameter of a**sphere**is any straight line which passes through the centre , and is terminated both ways log the ... Page 286

TO describe in the greater of two

TO describe in the greater of two

**spheres**which have the same centre , a solid polyhedron , the superficies of which shall not meet the lesser**sphere**. à 15. 3 . > 16. 12 . Let there be two**spheres**about the same centre A ; it is ... Page 288

... other three quadrants , and in the other hemisphere ; there shall be formed a solid polyhedron described in the

... other three quadrants , and in the other hemisphere ; there shall be formed a solid polyhedron described in the

**sphere**, .composed of pyramids , the bases of which are the aforesaid. 288 THE ELEMENTS.### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole