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

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Page 215

... their solid angles equal , each to each , and are contained by the same number of similar planes . XII . A

... their solid angles equal , each to each , and are contained by the same number of similar planes . XII . A

**pyramid**is a solid figure contained by BOOK XI . -DEFINITIONS . 215. Page 216

A

A

**pyramid**is a solid figure contained by planes that are constituted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by planc figures , of which two that are opposite are equal ... Page 285

Because , as a fourth proportional to the squares of BD , FH , and the circle ABCD , is possible , and that it can neither be less nor greater than the circle EFGH , it must be equal to it . PROP . III . THEOR . Every

Because , as a fourth proportional to the squares of BD , FH , and the circle ABCD , is possible , and that it can neither be less nor greater than the circle EFGH , it must be equal to it . PROP . III . THEOR . Every

**pyramid**having a ... Page 286

Every

Every

**pyramid**having a triangular base , may be divided into two equal and similar**pyramids**having triangular buses , and which are similur to the whole**pyramid**; and into two equal prisms which together are greater than half of the ... Page 287

Therefore the

Therefore the

**pyramid**of which the base is the triangle AEG , and of which the vertex is the point H , is equal * and * .C.11 . similar to the**pyramid**, the base of which is the triangle KHL , and vertex the point D. And because HK is D ...### 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