## 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

Results 1-5 of 68

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**described**from any 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 ... Page 12

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**described**upon the given straight line AB .. PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw , from the ... Page 37

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**described**a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal to the given angle D. COR . Hence , if the angle D be a right angle , the parallelogram EFGC will be a rectangle , equivalent to the ... Page 39

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**described**equal to the given rectilineal figure ABCD , hav ing the angle FKM equal to the given angle E. COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given ... Page 40

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**described**upon the sides which contain the right angle . Let ABC be a right angled triangle having the right angle BAC ; the square**described**upon the side BC is equal to the squares**described**upon BA , AC . On BC describe ( 46. 1 ...### 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