## The Elements of Euclid |

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Page 11

A

A

**circle**is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another : ور XVI . Page 15

PostuBCD , and from the centre B , at late . the distance BA , describe the A

PostuBCD , and from the centre B , at late . the distance BA , describe the A

**circle**ACE ; and from the point B E C , in which the**circles**cut one another , draw the straight lines b b 2. Post . CA , CB to the points A , B ; ABC shall ... Page 16

22 th Book I. Because the point B is the centre of the

22 th Book I. Because the point B is the centre of the

**circle**CGH , BC is equal e to BG ; and because D is the centre of the**circle**GKL , e 15. Def . DL is equal to DG , and DA , DB , parts of them , are equal ; f 3. Page 29

FG to B. and GH equal and from the centre F , at the distance FD , deD scribe b the

FG to B. and GH equal and from the centre F , at the distance FD , deD scribe b the

**circle**DKL ; E G H b 3. Post . and ' from the centre G , at L the distance GH , describe b another**circle**HLK ; and join KF , KG ; the triangle KFG has ... Page 67

This + I. EQUAL

This + I. EQUAL

**circles**are those of which the diameters are equal or Book . III from the centres of which the ... A straight line is said to touch a '**circle**when it meets the**circle**, and being produced does not cut it . III .### 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