## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |

### From inside the book

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Page 3

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 . XVI . Page 7

From the centre A , at the distance AB , describe * the

From the centre A , at the distance AB , describe * the

**circle**BCD , and from the centre B , at the distance BA , describe the**circle**ACE ; and from the point C , in which the**circles**cut one another , draw the straight lines * CA ... Page 8

Because A is the centre of the

Because A is the centre of the

**circle**DEF , AE is equal to AD ; but the straight line C is likewise equal to + AD ; whence AE and C are each of them equal to AD ) ; wherefore the straight line AE ... Page 21

1 Ax . centre G , at the distance GH , describe * another

1 Ax . centre G , at the distance GH , describe * another

**circle*** 3 Post . HLK ; and join KF , KG : the triangle KFG shall have its sides equal to the three straight lines A , B , C. Because the point Fis the centre of the**circle**DKL ... Page 54

1 I. EQUAL

1 I. EQUAL

**circles**are those of which the diameters are equal , or from the centres of which the straight lines to 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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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

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