## 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 49

Page 32

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**parallelogram**. COR . 2. And every quadrilateral , whose opposite sides are equal , is a**parallelogram**, or has its opposite sides parallel . For , having drawn the diagonal BC ; then , the triangles ABC , CBD , being mutually ... Page 33

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**parallelogram**are equal to one another , and the diagonal bisects it ; that is , divides it into two equal parts . N. B. A**Parallelogram**is a four - sided figure , of which the opposite sides are parallel ; and the diameter is a ... Page 34

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**parallelogram**ABCD is equal to the**parallelogram**EBCF . PROP . XXXVI . THEOR .**Parallelograms**upon equal bases , and between the same parallels , are equal to one another . Let ABCD , EFGH be**parallelograms**upon equal bases BC , FG ... Page 35

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**parallelogram**; and EBCA B D F is equal ( 35. 1. ) to DBCF , because they are upon the same base BC , and between the same parallels BC , EF ; but the triangle ABC is the half of the**parallelogram**EBCA , because the diameter AB bisects ... Page 36

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**parallelogram**is double of the triangle . Let the**parallelogram**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 ...### 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