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

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Page v

The opinions of the moderns concerning the author of the Elements of Geometry , which go under Euclid's name , are very different and contrary to one another , Peter Ramus ascribes the

The opinions of the moderns concerning the author of the Elements of Geometry , which go under Euclid's name , are very different and contrary to one another , Peter Ramus ascribes the

**Propositions**, as well as their Demonstrations ... Page vi

Now this

Now this

**proposition**is a Theorem , not a Definition ; because the equality of figures of any kind must be demonstrated , and not assumed ; and therefore , though this were a true**proposition**, it ought to have been demonstrated . Page vii

In this Edition , Ptolemy's

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**Proposition**, Book 1st , is altered , and made more explicit , and a ... Page 7

**PROPOSITION**I. PROBLEM . To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon AB . From the centre A , at the distance AB ... Page 26

See the notes on this

See the notes on this

**proposition**. A B с . H D F If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same ...### 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