## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |

### From inside the book

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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 195

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**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 . XI . " * Similar solid figures are ... Page 196

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**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 remains fixed . XXII . The axis of a cylinder is the fixed straight line about which ... Page 210

... angles to the other plane ( 4. def . 11. ) : and any straight line FG in the plane DE , which is at right angles to CE the common section of the planes , has been proved to be ...

... angles to the other plane ( 4. def . 11. ) : and any straight line FG in the plane DE , which is at right angles to CE the common section of the planes , has been proved to be ...

**solid angle**210 BOOK XI . THE ELEMENTS OF EUCLID . Page 211

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**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 an- gles , BAC , CAD , DAB . Any two of them are greater than the third . that D If the ...### Other editions - View all

The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid No preview available - 2018 |

### Common terms and phrases

altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore