## 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 |

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Side 1

TO THIS EDITION ARE ALSO ANNEXED , ELEMENTS OF

SPHERICAL TRIGONOMETRY . PHILADELPHIA : PUBLISHED BY THOMAS

DESILVER , No. 253 , MARKET STREET , AND ROBERT DESILVER , No. 110 ,

WALNUT ...

TO THIS EDITION ARE ALSO ANNEXED , ELEMENTS OF

**PLANE**ANDSPHERICAL TRIGONOMETRY . PHILADELPHIA : PUBLISHED BY THOMAS

DESILVER , No. 253 , MARKET STREET , AND ROBERT DESILVER , No. 110 ,

WALNUT ...

Side 4

Equal and similar solid figures are those which are contained by similar

the same number and magnitude . ... except in the case in which each of the solid

angles of the figures is contained by no more than three

Equal and similar solid figures are those which are contained by similar

**planes**ofthe same number and magnitude . ... except in the case in which each of the solid

angles of the figures is contained by no more than three

**plane**angles ; for in ... Side 5

equal to one another which are contained by

and magnitude , placed in the same order ; but neither is this universally true ,

except in the case in which the solid angles are contained by no more than three

...

equal to one another which are contained by

**plane**angles of the same numberand magnitude , placed in the same order ; but neither is this universally true ,

except in the case in which the solid angles are contained by no more than three

...

Side 6

... the Translation is much amended by the friendly assistance of a learned

gentleman . To which are also added , the Elements of

Trigonometry , which are commonly taught after the Elements of Euclid . > THE

ELEMENTS ...

... the Translation is much amended by the friendly assistance of a learned

gentleman . To which are also added , the Elements of

**Plane**and SphericalTrigonometry , which are commonly taught after the Elements of Euclid . > THE

ELEMENTS ...

Side 7

A

between them lies wholly in that superficies . VIII . “ A

inclination of two lines to one another * in a

not in the ...

A

**plane**superficies is that in which any two points being taken , the straight linebetween them lies wholly in that superficies . VIII . “ A

**plane**angle is theinclination of two lines to one another * in a

**plane**, which meet together , but arenot in the ...

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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 |

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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