## The Elements of Euclid |

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Page 96

... also the angle C is equal to the angle in D the segment AHB : wherefore , upon the given straight line AB the segment AHB of a circle is described whicḥ

... also the angle C is equal to the angle in D the segment AHB : wherefore , upon the given straight line AB the segment AHB of a circle is described whicḥ

**cone**tains an angle equal to the given angle at C. Which was to ; be done ! Page 197

A

A

**cone**is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle , which side remains fixed . If the fixed side be equal to the other side containing the right angle ... Page 198

The axis of a

The axis of a

**cone**is the fixed straight line about which the triangle revolves . XX . The base of a**cone**is the circle described by that side containing the right angle , which revolves . XXI . A cylinder is a solid figure described by ... Page 269

EVERY

EVERY

**cone**is the third part of a cylinder which has the same base , and is of an equal altitude with it . Let a**cone**have the same base with a cylinder , viz . the circle ABCD , and the såme altitude . The**cone**is the third part of the ... Page 270

... which together are less than the excess of the cylinder above the triple of the

... which together are less than the excess of the cylinder above the triple of the

**cone**. Iet them be those upon the segments of the circle AE , EB , BF , 1 D FC , CG , GD , DH , HA } ...### 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