## The Elements of Euclid |

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Page vi

by which the doctrine of compound ratios is rendered plain and easy . Besides , among the definitions of the 11th book , , there is this , which is the 10th , viz . “ Equal and similar

by which the doctrine of compound ratios is rendered plain and easy . Besides , among the definitions of the 11th book , , there is this , which is the 10th , viz . “ Equal and similar

**solid**figures are those which are contained by ... Page vii

plane angles of the same number and magnitude , placed in the same order ; but neither is this universally true , except in the case in which the

plane angles of the same number and magnitude , placed in the same order ; but neither is this universally true , except in the case in which the

**solid**angles are contained by no more than three plane angles ; nor of this case is there ... Page 196

A

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 every straight line ... Page 197

A

A

**solid**angle is that which is made by the meeting of more See Note . 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 Note . XI . Page 198

A cylinder is a

A cylinder is a

**solid**figure described by the revolution of a right angled parallelogram about one of its sides , which re . mains fixed . XXII . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .### What people are saying - Write a review

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### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

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