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

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Page vi

In like

In like

**manner**, in the Demonstration of the 26th Prop . of the 11th Book , it is taken for granted that those solid angles are equal to one another which are contained by plane angles of the same number and magnitude , placed in the ... Page xi

His

His

**manner**of teaching was uncommonly clear and successand among his scholars , several rose to distinction as mathematicians ; among whom may be mentioned the celebrated Dr. Matthew Stewart , professor of Mathematics at Edinburgh : the ... Page xii

The writings and publications of Dr. S. were almost exclusively of the pure geometrical kind , after the genuine

The writings and publications of Dr. S. were almost exclusively of the pure geometrical kind , after the genuine

**manner**of the ancients . He has only two pieces printed in the volumes of the Philosophical Transactions : viz . 1. Page 14

From the point B drawt BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal * to the angle EBA ; in the same

From the point B drawt BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal * to the angle EBA ; in the same

**manner**, because ABD is a straight line , the angle DBE is equal to the angle EBA ; wherefore ... Page 17

3 Ax . In the same

3 Ax . In the same

**manner**it can be demonstrated , that the angles CEB , AED are equal . Therefore , if two straight lines , & c . Q. E. D. COR . 1. From this it is manifest , that , if two straight lines cut one another , the angles ...### 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