Trigonometry ...1866 |
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Resultat 1-5 av 6
Side 1
... respectively the first , second , third , and fourth quadrants . If OX and OY be considered the positive directions , then OX ' and OY ' will be the negative directions . Thus , if PM and PM ' be perpendicular to X'X and P , N , and P ...
... respectively the first , second , third , and fourth quadrants . If OX and OY be considered the positive directions , then OX ' and OY ' will be the negative directions . Thus , if PM and PM ' be perpendicular to X'X and P , N , and P ...
Side 44
... respectively opposite to them . When any three of these six quantities , except the three angles , are given , the remaining three can be determined , or the triangle can be constructed . This can be easily shewn Geometrically , but it ...
... respectively opposite to them . When any three of these six quantities , except the three angles , are given , the remaining three can be determined , or the triangle can be constructed . This can be easily shewn Geometrically , but it ...
Side 54
... respectively . 64. In the figure of Art . ( 63 ) it is clear that the angle OBD = 90 ° - B and OCD = 90 ° - C , - .. BD = r , cot ( 90 ° – B ) = r1 tan B , and CD = r , cot ( 90 ° C ) = r , tan C ; - .. BD + CD = a = r1 ( tan B + tan C ) ...
... respectively . 64. In the figure of Art . ( 63 ) it is clear that the angle OBD = 90 ° - B and OCD = 90 ° - C , - .. BD = r , cot ( 90 ° – B ) = r1 tan B , and CD = r , cot ( 90 ° C ) = r , tan C ; - .. BD + CD = a = r1 ( tan B + tan C ) ...
Side 55
... respectively , and 91 , 92 , 9 , the parts of these perpen- diculars produced between the sides and circumscribed circle ; then ( fig . Art . 61 ) q1 = MC tanMCN = дa tan † A , and r = AE tanOAE = ( s — a ) tan A = ( s — b ) tan + B ...
... respectively , and 91 , 92 , 9 , the parts of these perpen- diculars produced between the sides and circumscribed circle ; then ( fig . Art . 61 ) q1 = MC tanMCN = дa tan † A , and r = AE tanOAE = ( s — a ) tan A = ( s — b ) tan + B ...
Side 57
... respectively . The logarithms of the Trigo- nometrical Ratios are increased by 10 , in order to avoid negative characteristics . These increased values are called the Tabular Logarithmic Sines , Cosines , Tangents , Cotangents , Secants ...
... respectively . The logarithms of the Trigo- nometrical Ratios are increased by 10 , in order to avoid negative characteristics . These increased values are called the Tabular Logarithmic Sines , Cosines , Tangents , Cotangents , Secants ...
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angle POX increases angles terminated Cambridge centre circular measure coincides Conic Sections cos(a cos² cos4 cosB cosB+ cosec cosine cotA cotangent D.D. Dean D.D. Third Edition Dean of Ely decreases numerically Euclid EXAMPLES ON CHAPTER F. A. PALEY Fcap Fellow of St Fellow of Trinity Geometrical given angle given ratio Greek Hence J. R. SEELEY J. W. DONALDSON JONATHAN PALMER Late Fellow less than 90 log(s loga logarithms M.A. Fellow Mathematics negative and decreases P'OM Pembroke College perpendicular positive angle prove r₁ radius recensuit right-angled triangles POM secA secant Second Edition sides sin²A sin³A sinA sinB sine sine and cosine solution solve the triangle St John's College Students subtended subtract tanA tangent triangle ABC TRIGONO Trigonometrical Ratios Trinity College University of Cambridge values W. H. BESANT ОР
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