## 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 41

Page 33

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**ABCD**, EBCF be upon the same base BC , and between the same parallels AF , BC ; the parallelogram**ABCD**is equal to the parallelogram EBCF . If the sides AD , DF of the parallelo- A 5 OF GEOMETRY . BOOK I. 33 Th. 32.), and the opposite ... Page 34

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**ABCD**, EBCF , be not terminated in the same point ; then , because**ABCD**is a parallelogram , AD is equal ( 34. 1. ) to BC ; for the same reason EP is equal to BC ; wherefore AD is equal ( 1. Ax . ) to EF ; and DE is com- mon ; therefore ... Page 36

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**ABCD**and the tri- angle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram**ABCD**is double of the trian- gle EBC . Join AC ; then the triangle ABC is equal ( 37. 1. ) to the triangle EBC , because ... Page 37

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**ABCD**be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelograms , which make up the whole figure**ABCD**, and are therefore ... Page 39

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**ABCD**is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been 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 ...### 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