## The Elements of Euclid |

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Page vi

stration of the 18th prop . of the 5th

stration of the 18th prop . of the 5th

**book**, in place of the legitimate one which Euclid had.given ; and by taking out of this**book**, besides other things , the good definition which Eudoxus or Erclid had given of compound ratio ... Page vii

Now , upon the 10th definition of this

Now , upon the 10th definition of this

**book**depend the 25th and 28th propositions of it ; and , upon the 25th and 26th depend other eight , viz . the 27th , 31st , 32d , 33d , 34th , 36th , 37th , and 40th of the same**book**; and the ... Page viii

In this edition , Ptolemy's proposition concerning a property of quadrilateral figures in a circle is added at the end of the sixth

In this edition , Ptolemy's proposition concerning a property of quadrilateral figures in a circle is added at the end of the sixth

**book**. Also the note on the 29th prop .**book**1st , is altered , and made more explicit , and a more ... Page 9

**BOOK**I. DEFINITIONS . I. A POINT is that which hath no parts , or which hath no mag . See Notes . nitude . II . A line is length without breadth . III . The extremities of a line are points . iv . A straight line is that which lies ... Page 10

**Book**I. А D IL B C E $ < N. B .: When several angles are at one point B , any one of ! them is expressed by three letters , of which the letter that is at the vertex of the angle , that is , at the point in which the straight lines that ...### What people are saying - Write a review

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### 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