## 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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**centre**of the circle . 13. A diameter of a circle is a straight line drawn through the**centre**, and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut ... Page 11

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**centre**at any distance from that**centre**AXIOMS . 1. THINGS which are equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders are ... Page 12

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**centre**A , at the dis- tance AB , describe ( 3. Postulate ) the 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 ... Page 13

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**centre**A , and at the distance AD , describe ( 3. Post . ) the circle DEF ; and 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 ... Page 18

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**centre**C , at the distance CD , describe ( 3. Post , ) the circle EGF meeting AB in F , G : and bisect ( 10. 1. ) FG in H , and join CF , CH , CG ; the straight line CH , drawn from the given point C , is per- pendicular to the given ...### 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 spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore