## Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., Enl |

### From inside the book

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**circle**BCD , and from the cen- tre B , at the distance BA , describe the**circle**ACE ; and from the point C , in which the**circles**cut one an- other , draw the straight lines ( 1 . Post . ) CA , CB to the points A , B ;**ABC**is an ... Page 13

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**circle**DEF ; and because A. is the centre of the**circle**DEF , AE is equal to AD ; but the straight line C is ...**ABC**, DEF be two triangles which have the two sides AB , AC equal to the two sides DE DF , each to each , viz . AB to DE ... Page 24

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**circle**DKL , and from the centre G , at the distance GH , describe ( 3. Post . ) another**circle**HLK ; and join KF ...**ABC**, DEF be two triangles which have the two sides AB , AC equal to the two DE , DF each to each , viz . AB equal to ... Page 62

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**circle**is said to circumscribe such a figure . 7. And an angle is said to insist or stand upon the arc intercepted ...**ABC**be the given**circle**; it is required to find its centre . Draw within it any straight line AB , and bisect ( 10. 1 ... Page 63

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**circle ABC**: In the same manner it can be shown that no other point but F is the centre : that is F is the centre of the**circle ABC**. COR . From this it is manifest that if in a circle a straight line bisect another at right angles ...### Other editions - View all

### Common terms and phrases

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore