## The Elements of Euclid |

### From inside the book

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Page 196

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**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

Х one another , which two other planes have , when the said angles of inclination are equal to one another . VIII . Parallel planes are such which do not meet one another though produced . IX . A

Х one another , which two other planes have , when the said angles of inclination are equal to one another . VIII . Parallel planes are such which do not meet one another though produced . IX . A

**solid angle**is that which is made by the ... Page 198

The base of a cone is the circle described by that side containing the right

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 the revolution of a right**angled**parallelogram about one of its sides , which re ... Page 213

THEOR . nough See Note , IF a

THEOR . nough See Note , IF a

**solid angle**be contained by three plane angles , any two of them are greater than the third . Let the**solid angle**at A be contained by the three plane angles BAC , CAD , DAB . Any two of them are greater ... Page 214

Take in each of the straight lines AB , AC , AD any points B , C , D , and join BC , CD , DB : then , because the

Take in each of the straight lines AB , AC , AD any points B , C , D , and join BC , CD , DB : then , because the

**solid angle**at B is contained by the three plane angles CBA , ABD , DBC , any a 20. 11 . two of them are greatera than the ...### 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