## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |

### Inni boken

Resultat 1-5 av 19

Side 195

... and which are contained by the same number of similar planes . * 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

contained ...

... and which are contained by the same number of similar planes . * 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 figurecontained ...

Side 227

A E lelogram GE to CH : therefore the

DAE , and the three parallelograms CA , GE , EC , is equal ( C. 11. ) to the

contained by the two triangles CBF , DHE , and the three parallelograms BE , CH

...

A E lelogram GE to CH : therefore the

**prism**contained by the two triangles CGF ,DAE , and the three parallelograms CA , GE , EC , is equal ( C. 11. ) to the

**prism**contained by the two triangles CBF , DHE , and the three parallelograms BE , CH

...

Side 228

by the plane AGHC : therefore the solid AH is double of the

contained betwixt the triangles ALG , CBH ; for the D K same reason , because

the solid F G AK is cut by the plane LGHB through the diagonals LG , BH of the

opposite ...

by the plane AGHC : therefore the solid AH is double of the

**prism**which iscontained betwixt the triangles ALG , CBH ; for the D K same reason , because

the solid F G AK is cut by the plane LGHB through the diagonals LG , BH of the

opposite ...

Side 229

... and in which FDKN is the one opposite to it ; and if from this same solid there

be taken the

equal to the remaining parallelopiped AK . Therefore , solid parallelopipeds , & c .

... 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 , isequal to the remaining parallelopiped AK . Therefore , solid parallelopipeds , & c .

Side 233

From this it is manifest that

are to one another as their bases . Let the

triangles AEM , CFG , and NBO , PDQ the triangles opposite to them , have the

same ...

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 thetriangles AEM , CFG , and NBO , PDQ the triangles opposite to them , have the

same ...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2016 |

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |

### Vanlige uttrykk og setninger

added altitude angle ABC angle BAC base BC is given centre circle circle ABCD circumference common cone contained 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 prism produced PROP proportionals proposition pyramid Q. E. D. PROP 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