Euclidian Geometry |
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Page 2
... 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 ...
... 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
... 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 ...
... 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
... vertex , their distances from the other arm will at length be greater than any given straight line . 2 K R C Q NP A O GH Let AOC be the given angle , then a certain number of these angles AOC , COR , & c . will be together > a right ...
... vertex , their distances from the other arm will at length be greater than any given straight line . 2 K R C Q NP A O GH Let AOC be the given angle , then a certain number of these angles AOC , COR , & c . will be together > a right ...
Page 53
... 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 ...
... 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
... 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 also DX is a .. and is .. double of △ ABX , ( 1. 26 ) and ...
... 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 also DX is a .. and is .. double of △ ABX , ( 1. 26 ) and ...
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Common terms and phrases
Algebra Arithmetic base BEGINNERS Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle John's College Latin Let ABC line bisecting locus magnitudes Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane PROBLEM produced Professor proportional PROPOSITION radius ratio rect rectangle rectangle contained rectilineal figure regular polygon render respectively revised rhombus right angles Schools Second Edition segment Similarly squares on AC straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares Uppingham School vertex
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Page 31 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Page 15 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
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Page 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Page 15 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.