## Euclidian Geometry |

### From inside the book

Results 1-5 of 19

Page vi

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**ratio**and compound**ratio**have been relegated to the Supplement , there placed for the benefit of those likely to be examined thereon , but ejected from the text , as not being generally appreciated by students , few of whom would ... Page 158

... of the polygon from the circumference of the O. = Hence the area of the circle is rectangle ( radius , and a straight line = the circumference ) . BOOK V.

... of the polygon from the circumference of the O. = Hence the area of the circle is rectangle ( radius , and a straight line = the circumference ) . BOOK V.

**RATIO**AND PROPORTION . INTRODUCTORY . Two magnitudes 158 AREAS AND PERIMETERS . Page 159

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**ratio**to the second which the third has to the fourth when , if the first be divided into any number whatever of equal parts and the third be divided into the same number of equal parts , the second contains the same integral number of ... Page 160

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**ratio**as rect- angles of equal altitude described upon them . K AM N L B P Q H Let AG , BH be the given straight lines , and C the given altitude . Then shall AG have to BH the same**ratio**as rectangle ( AG , C ) to rectangle ( BH , C ) ... Page 161

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**ratio**as the first and second are proportional to any others which have the same**ratio**as the third and fourth . For the test expressed by the definition is satisfied . PROPOSITION IV . If a magnitude have the same**ratio**to each of two ...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole