## The Elements of Euclid |

### From inside the book

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Page 197

A

A

**prism**is a solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to onc another ; and the others parallelograms . XIV . A sphere is a solid figure described by the revolution of a ... Page 229

A lelogram GE to CH : therefore the E

A lelogram GE to CH : therefore the E

**prism**contained by the two triangles CGF , DAE , and the three parallelograms CA , GE , EC , is equal to the**prism**contained by ... Page 230

11 .. into two equal parts a by the plane AGHC : therefore the solid AH is double of the

11 .. into two equal parts a by the plane AGHC : therefore the solid AH is double of the

**prism**which is contained betwixt the triangles ALG , CBH : for the same reason , because the solid D H Н K AK is cut by the plane LGHB F G through ... Page 231

1 taken from the solid of which the base is the parallelogram AB , Book and in which FDKN is the one opposite to it ; and if from this same solid there be taken the

1 taken from the solid of which the base is the parallelogram AB , Book and in which FDKN is the one opposite to it ; and if from this same solid there be taken the

**prism**AFGCDE ; the remaining solid , viz . the parallelopiped AH ... Page 235

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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### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

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