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

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Page vi

“ Equal and similar solid

“ 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 vii

In this Edition , Ptolemy's Proposition concerning a property of quadrilateral

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 ix

... 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

... 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

**figures**; the 7th , 8th , and 9th ... Page 3

A

A

**figure**is that which is enclosed by one or more boundaries . XV . A circle is a plane**figure**contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the**figure**... Page 4

Of four - sided

Of four - sided

**figures**, a square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII .### 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