## 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

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 the**centre**, and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter ... Page 6

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**. a 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 8

From the

From the

**centre**A , at the * 3 Pos . distance AB , describe * the tulate . circle BCD , and from the**centre**B , at the distance BA , ( D B E describe the circle À CE ; and from the point C , in which the circles cut one another ... Page 9

15 Def . ; the

15 Def . ; the

**centre**D , at the distance DG , describe the circle GKL , AL shall be equal to BC . Because the point B is the K**centre**of the circle CGH , BC is equal * to BG ; and because D H is the**centre**of the circle GKL , D DL is ... Page 18

1 . other side of AB , and from the

1 . other side of AB , and from the

**centre**C , at the * 3 Post . distance CD , describe * the circle EGF meeting AB in F , G , bisect * FG in H , and join CH . The straight line CH , drawn from the given point C , shall be perpendicular ...### What people are saying - Write a review

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### Other editions - View all

The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole