## 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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**rectangle**, equivalent to the triangle ABC ; and therefore the same construction will apply to the problem : to make a triangle equivalent to a given**rectangle**. PROP . XLIII . THEOR . The complements of the parallelograms which are ... Page 38

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**rectangle**, having a side of a given**length**: for , if the angle D be a right angle , and AB the given side , the parallelogram ABML will be a**rectangle**equiva lent to the triangle C. PROP . XLV . PROB . To describe a parallelogram 38 ... Page 46

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**length**be**found**. COR . Since a triangle may be converted into an equivalent**rectangle**it follows that any polygon may be reduced to an equivalent**rectangle**. PROP . H. PROB . To find the side of a square that shall be equivalent to the ... Page 47

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**length**, is equal to the given**rectangle**AEFH ( 43. 1. ) A E H B F K C G COR . A polygon may be converted into an equivalent**rectangle**, having one f its sides of a given**length**. ELEMENTS or GEOMETRY . BOOK II . DEFINITIONS . 1 OF ... Page 48

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**rectangle contained**by AD and DC , we shall simply say " the rectangle AD . ĎC , placing a point between the two sides of the " rectangle . " A. In Geometry , the product of two lines means the same thing as their rectangle , and this ...### 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