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

### From inside the book

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Page 215

A

A

**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 . See Octavo Edition , XI . Page 216

A cone is 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 217

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 remains ... Page 234

非 11 . at right angles to CD the common section of the plane BC with the third plane . ... If a

非 11 . at right angles to CD the common section of the plane BC with the third plane . ... 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 ... Page 235

Then because the

Then because the

**solid angle**at B is contained by the three plane angles CBA , ABD , DBC , any two of them are greater * than the third ; there- * 20. 11 . fore the angles CBA , ABD are greater than the angle DBC : for the same reason ...### 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

altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole