## 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 AMN G 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

Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex