## Euclidian Geometry |

### From inside the book

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**vertex**of the angle . If the arms are in one plane the angle is called a plane angle , and if they are straight lines a plane rectilineal angle . Whenever the term angle is used a plane rectilineal angle is meant unless otherwise ... Page 3

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**vertices**coincide and the arms of one fall along the arms of the other , those angles are said to be equal to one another . C B If the angle BAC were taken up , reversed , and then applied to its former position , so that A fell on its ... Page 33

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**vertex**, their distances from the other arm will at length be greater than any given straight line . K R O GH Let AOC be the given angle , NP A then a certain number of these angles AOC , COR , & c . will be together a right AOK . From ... Page 53

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**vertex**is called the altitude of the A. Perpendiculars let fall on the base or base produced of a from points in the opposite side are equal to one another , and any one of them is spoken of as the altitude of the . If any one of the ... Page 54

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**vertex**A of the △ ABC is at D or E the pro- position is evident . ( 1. 26 ) But if not through A draw AX || to EB or DC , meet- ing the base or base produced in X. Then EX is a ☐ and is .. double of △ ABX , ( 1. 26 ) also DX is a and ...### 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 Examples 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 revised 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