## The Elements of Euclid |

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Page iii

TO THIS LDITION ARE ALSO AXNESED , ELEMENTS OF

TO THIS LDITION ARE ALSO AXNESED , ELEMENTS OF

**PLANE**AND SPHERICAL TRIGONOMETRY . 1 PHILADELPHIA : PUBLISHED BY JOHNSON AND WARNER , AND SOLD AT THEIR BOOKSTORES IN PHILADELPHIA , RICHIMOND , ( Vir . ) AND LEXINGTON , ( Ken . ) ... Page vi

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

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

**planes**of - the saine number ... by no more than three**plane**angles ; for , in other cases , two solid figures may be contained by similar**planes**of the same ... Page vii

**plane**angles of the same number 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**plane**angles ; nor of this case is there ... Page 9

A

A

**plane**superficies is that in which any two points being taken , See N. the straight line between them lies wholly in that superficies . VIII . " A**plane**angle is the inclination of two lines to one another See N. " in a**plane**, which ... Page 13

Parallel straight lines , are such as are in the same

Parallel straight lines , are such as are in the same

**plane**, and which being produced ever so far both ways , do not meet . POSTULATES . I : Let it be granted that a straight line may be drawn from any one point to any other point .### 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