## 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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**triangle**DFE , and join FC ; the straight line FC , drawn from the giv- en point C , is at right angles to the given ...**def**. ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C ... Page 24

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**triangle**KFG has its sides equal to the three straight lines , A , B , C. Because the point F is the centre of the circle DKL , FD is equal ( 11**Def**. ) to FK ; but FD is equal to the straight line A ; therefore FK is equal to A : Again ... Page 25

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**triangle**EFG is greater than its angle EGF , and because the greater ( 19. 1. ) side is opposite to the greater ...**DEF**be two**triangles**which have the two sides , AB , AC , equal to the two sides DE , DF , each to each , viz . AB ... Page 26

... DEF ; therefore the base GC is equal ( 4. 1. ) to the base DF , and the triangle GBC to the

... DEF ; therefore the base GC is equal ( 4. 1. ) to the base DF , and the triangle GBC to the

**triangle DEF**, and the other angles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GCB is ... Page 27

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**triangle**ABII to the trian gle**DEF**, and the other angles are equal , each to each , to which the equal sides are opposite ; therefore the angle BHA is equal to the angle EFD- but EFD is equal to the angle BCA ; therefore also the angle ...### 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