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

### From inside the book

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Page 172

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 plane figures , of which ... Page 226

See N. Every

See N. Every

**pyramid**having a triangular base , may be divided into two equal and similar**pyramids**having triangular bases , and which are similar to the whole**pyramid**; and into two equal prisms which together are greater than half of ... Page 227

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 similar to the**pyramid**, the * C. 11 . base of which is the triangle KHL , and vertex the point D. And because HK is ... Page 228

C. 11 . to of which the base is the triangle AEG , and vertex H : therefore each of the

C. 11 . to of which the base is the triangle AEG , and vertex H : therefore each of the

**pyramids**AEGH , HKLD is similar to the whole**pyramid**ABCD . And because BF is equal to FC , the parallelogram EBFG is double * of the triangle GFC ... Page 229

If there be two

If there be two

**pyramids**of the same altitude , upon tri- See N. angular bases , and each of them be divided into two equal**pyramids**similar to the whole**pyramid**, and also into two equal prisms ; and if each of these**pyramids**be ...### What people are saying - Write a review

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### Other editions - View all

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

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equimultiples Euclid excess figure fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise logarithm magnitude manner meet multiple opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition proved pyramid radius reason rectangle rectilineal figure remaining right angles segment shewn sides similar sine solid sphere square square of AC taken THEOR third triangle ABC wherefore whole