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

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Page 216

A

A

**prism**is a solid figure contained by planc figures , of which two that are opposite are equal , similar , and parallel to one another ; and the others parallelograms . XIV . A sphere is a solid figure described by the revolution of a ... Page 253

DAE to DHE ; and that the parallelogram CA is equal * and similar to the opposite one BE , * 24. 11 . and the parallelogram GE to CH ; therefore the

DAE to DHE ; and that the parallelogram CA is equal * and similar to the opposite one BE , * 24. 11 . and the parallelogram GE to CH ; therefore the

**prism**contained by the two triangles CGF DAE , and the three parallelograms ... Page 254

CBHD , AH is cut into two equal parts * by the plane AGHC ; therefore the solid AH is double of the

CBHD , AH is cut into two equal parts * by the plane AGHC ; therefore the solid AH is double of the

**prism**which is contained betwixt the triangles H K ALG , CBH : for the same N reason , because the solid AK is cut by the plane LGHB ... Page 255

Therefore the

Therefore the

**prism**which is contained by the two triangles AFG , CDE , and the three parallelograms AD , DG , GC , is equal * to the**prism**contained by * C . 11 . the two triangles LMN , BHK , and the three paralellograms BM , MK , KL ... Page 260

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 ...### 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