## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |

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Page v

But , by often considering and comparing together the

But , by often considering and comparing together the

**Definitions**and Demonstrations as they are in the Greek editions ... and by taking out of this Book , besides other things , the good**definition**which Eudoxus or Euclid had given of ... Page vi

**Definitions**of the 5th Book , by which the doctrine of compound ratios is rendered plain and easy . ... Now this proposition is a Theorem , not a**Definition**; because the equality of figures of any kind must be demonstrated , and not ... Page vii

Also the Note on the 29th Proposition , Book 1st , is altered , and made more explicit , and a more general Demonstration is given , instead of that which was in the Note on the 10th

Also the Note on the 29th Proposition , Book 1st , is altered , and made more explicit , and a more general Demonstration is given , instead of that which was in the Note on the 10th

**Definition**of Book 11th ; besides , the translation ... Page xii

BOOK I.

BOOK I.

**DEFINITIONS**. 5. Euclid's Elements ; in 1756 , 4to , and since that time , many editions in 8vo , with the addition of Euclid's Data . 6. After his death , earl Stanhope was at the expense of printing in 1776 , under the ... Page 1

BOOK I.

BOOK I.

**DEFINITIONS**. I. A Point is that which hath no parts , or which hath no See Notes . magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A straight line is that which lies evenly ...### What people are saying - Write a review

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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

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