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

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Page 3

And this point is called the

And this point is called the

**centre**of the circle . XVII . A diameter of a circle is a straight line drawn through See N. the**centre**, and terminated both ways by the circumference , XVIII . A semicircle is the figure contained by a ... Page 5

And that a circle may be described from any

And that a circle may be described from any

**centre**, at any distance from that**centre**. AXIOMS . I. Things which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III . Page 7

From 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

From the point A draw * the straight line AD equal to C ; and from the

From the point A draw * the straight line AD equal to C ; and from the

**centre**A , and at the distance AD describe * the circle DEF : AE shall be equal to c . Because A is the**centre**of the circle DEF , AE is equal to AD ; but the ... Page 15

Take any point D upon the other side of AB , and from the

Take any point D upon the other side of AB , and from the

**centre**C , at the distance CD , describe * the * 3 Post . circle EGF , meeting AB in F , G ; bisect * FG in H , * 10. 1 . and join CH . The straight line CH , drawn from the ...### 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