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

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Page 172

XII . 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

XII . 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 202

... and the triangle DAE to DHE ; and that the parallelogram CA is equal * and similar to the opposite one BE , and the parallelogram GE to CH ; therefore the

... and the triangle DAE to DHE ; and that the parallelogram CA is equal * and similar to the opposite one BE , and the parallelogram GE to CH ; therefore the

**prism**contained by the two triangles CGF , DAE , and the three parallelograms ... Page 203

G EN M » N the opposite planes ALGF , CBHD , AH is cut into two equal parts * by the plane AGHC ; therefore the * 28.11 . solid AH is double of the

G EN M » N the opposite planes ALGF , CBHD , AH is cut into two equal parts * by the plane AGHC ; therefore the * 28.11 . solid AH is double of the

**prism**which is contained betwixt the triangles · ALG , CBH : for the same reason ... Page 207

From this it is manifest , that

From this it is manifest , that

**prisms**upon triangular bases , of the same altitude , are to one another as their bases . Let the**prisms**, the bases of which are the triangles AEM , CFG , and NBO , PDQ the triangles opposite to them ... Page 220

If there be two triangular

If there be two triangular

**prisms**of the same altitude , the base of one of which is a parallelogram , and the base of the ... if the parallelogram AF be double of the triangle GHK , the**prism**ABCDEF shall be equal to the**prism**GHKLMN .### 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

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