Elements of plane trigonometry |
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Page 4
... right angle , then by Euclid vi . 33 AOC AOB :: AC : AB , But AB is a fourth of the cir- TR ; B cumference = 2 TR therefore AOC : a right angle :: R : :: 2 : π 2 2 or numerically AOC = × a right angle , П that is the angle subtended by ...
... right angle , then by Euclid vi . 33 AOC AOB :: AC : AB , But AB is a fourth of the cir- TR ; B cumference = 2 TR therefore AOC : a right angle :: R : :: 2 : π 2 2 or numerically AOC = × a right angle , П that is the angle subtended by ...
Page 5
... straight or curved , of similar figures , are proportionals ; and their areas are in the dupli- cate ratio of the ... right angles to OA , then as the number of points increases continually , the angle TAB ' shall diminish continually ...
... straight or curved , of similar figures , are proportionals ; and their areas are in the dupli- cate ratio of the ... right angles to OA , then as the number of points increases continually , the angle TAB ' shall diminish continually ...
Page 15
... right angles : and in most of the propositions in Euclid it is not necessary to treat an angle otherwise than as a change of direction of a line . But where an angle is treated as a magnitude ( notably in Euclid vi . 33 and consequently ...
... right angles : and in most of the propositions in Euclid it is not necessary to treat an angle otherwise than as a change of direction of a line . But where an angle is treated as a magnitude ( notably in Euclid vi . 33 and consequently ...
Page 17
... angle of easiest construction is the angle of an equilateral triangle , which is also two - thirds of a right angle . For the purpose of expressing simply fractions of the standard , the sexagesimal division ( or division into 60ths ) ...
... angle of easiest construction is the angle of an equilateral triangle , which is also two - thirds of a right angle . For the purpose of expressing simply fractions of the standard , the sexagesimal division ( or division into 60ths ) ...
Page 18
... angle , it is more suitable and it is usual to represent the angle by its ratio to the angle sub- tended at the ... right angle into 100 grades , & c . proposed at the French Revolution , though adopted in the Mécanique Céleste of ...
... angle , it is more suitable and it is usual to represent the angle by its ratio to the angle sub- tended at the ... right angle into 100 grades , & c . proposed at the French Revolution , though adopted in the Mécanique Céleste of ...
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adapted Algebra appended arc subtending ARITHMETIC BEGINNERS BROOKE FOSS WESTCOTT calculated Cambridge centre chapter chord CHURCH circle inscribed circular functions circular measure circumference CLASS-BOOK classes cloth common logarithm Conic Sections cosec cotangent Crown 8vo curve direction Education EDWARD THRING ELEMENTARY TREATISE endeavoured English equal Equations Euclid Examination Papers excribed exercises explain Extra fcap formulæ Fourth Edition GEOMETRY given Grammar Greek Head Master Heir of Redclyffe Illustrations increases inscribed circle John's College late Fellow Latin Lecturer limit logarithm manual Maps method MIXED MATHEMATICS Notes number of points number of sides numerous Examples Owens College perimeter perpendicular polygon problems Professor projection of FD PROP propositions R₁ radii radius ratio rectangle contained render right angle Schools Second Edition selected semi-perimeter sine and cosine solution tab log tangent Third Edition tion Todhunter University University of Cambridge UNIVERSITY OF GLASGOW versin volume
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