Elements of plane trigonometry |
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... sine and cosine of the sum of two angles treated ( as it seems to me they should be ) as examples of the Elementary Theory of Projection . Having learned thus much the Student has gained a knowledge of Trigonometry as origi- nally ...
... sine and cosine of the sum of two angles treated ( as it seems to me they should be ) as examples of the Elementary Theory of Projection . Having learned thus much the Student has gained a knowledge of Trigonometry as origi- nally ...
Page 21
... sine of the angle AOB is the ratio to the radius of the perpendicular from the end of the arc sub- BD tending the angle on the initial line OA , .. sin 0 = R • If the position of B be above the line AOA ' , sin ◊ is + ; if below , sin ...
... sine of the angle AOB is the ratio to the radius of the perpendicular from the end of the arc sub- BD tending the angle on the initial line OA , .. sin 0 = R • If the position of B be above the line AOA ' , sin ◊ is + ; if below , sin ...
Page 23
... sine and cosine of an angle of any magni- tude can be obtained from the sine or cosine of an acute angle . con- It should be observed that , while the number tinuously increases , the numbers sin 0 , cos pass through a series of values ...
... sine and cosine of an angle of any magni- tude can be obtained from the sine or cosine of an acute angle . con- It should be observed that , while the number tinuously increases , the numbers sin 0 , cos pass through a series of values ...
Page 24
... sine of half the angle subtended by the chord . Hence , if we can calculate the ratio to the radius of the side of an inscribed polygon , the sine of half the angle sub- tended by the side is at once known . For instance , the side of a ...
... sine of half the angle subtended by the chord . Hence , if we can calculate the ratio to the radius of the side of an inscribed polygon , the sine of half the angle sub- tended by the side is at once known . For instance , the side of a ...
Page 30
... sine of an angle is the ratio to the radius of the part of the initial radius ( produced if D E necessary ) which is intercepted between its extremity A and the perpendicular from the other end B of the arc sub- tending the angle . In ...
... sine of an angle is the ratio to the radius of the part of the initial radius ( produced if D E necessary ) which is intercepted between its extremity A and the perpendicular from the other end B of the arc sub- tending the angle . In ...
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Common terms and phrases
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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