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

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Page vi

“ Equal and similar

“ Equal and similar

**solid**figures are those which are contained by similar planes of the same number and magnitude . ” Now this proposition is a Theorem , not a Definition ; because the equality of figures of any kind must be ... Page ix

They are divided into three parts , viz , the Contemplation of Superficies , Numbers , and

They are divided into three parts , viz , the Contemplation of Superficies , Numbers , and

**Solids**: the first four Books treat of planes only ; the fifth of the proportions of magnitudes in general ; the 6th of the proportion of plane ... Page x

doctrine of

doctrine of

**solids**. Ida the 11th , 12th , 13th , 14th and 15th , treat of the KODIO U D903950190 There no doubt but , out , before Euclid , Elements of Geo metry were compiled by Hippocrates of Chios , Eudoxus , Leon , and many others ... Page 171

DEFINITIONS , I. A

DEFINITIONS , I. A

**SOLID**is that which hath length , breadth and thickness . II . That which bounds a**solid**is a superficies . III . A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with ... Page 172

A

A

**solid**angle is that which is made by the meeting of more than two plane angles , which are not in the same plane , in one point . X. • The tenth definition is omitted for reasons given in the notes . ' See N. See N. XI .### 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