A Treatise on Higher TrigonometryMacmillan, 1884 - 208 σελίδες |
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Σελίδα 7
... magnitude may be determined . ON THE CALCULATION OF COMMON LOGARITHMS . 7. We know that log1n = logn ÷ log , 10 . [ E. 209 , 210. ] Hence , a table of Napierian Logarithms having been con- structed , from it we take log , 10 ( 2 ...
... magnitude may be determined . ON THE CALCULATION OF COMMON LOGARITHMS . 7. We know that log1n = logn ÷ log , 10 . [ E. 209 , 210. ] Hence , a table of Napierian Logarithms having been con- structed , from it we take log , 10 ( 2 ...
Σελίδα 10
... magnitude , when Ө when n is infinitely increased 1 sin ' COS Ө in ascending order of is less than 90 ° . Therefore also ( 1 ) " , α ( - ) sin- COS are in ascending order of magnitude . 1 n Now let n be infinitely increased and then ( A ) ...
... magnitude , when Ө when n is infinitely increased 1 sin ' COS Ө in ascending order of is less than 90 ° . Therefore also ( 1 ) " , α ( - ) sin- COS are in ascending order of magnitude . 1 n Now let n be infinitely increased and then ( A ) ...
Σελίδα 41
... magnitude may be expressed in terms of the sine or cosine of some angle less than 1π . Hence , the above series are never used in numerical calculations except for values of a less than 47 . 44. We have a3 sin a = a - 13 EXPANSION OF ...
... magnitude may be expressed in terms of the sine or cosine of some angle less than 1π . Hence , the above series are never used in numerical calculations except for values of a less than 47 . 44. We have a3 sin a = a - 13 EXPANSION OF ...
Σελίδα 89
... magnitude of O'P is what is called in Algebra the modulus of the expression a + √ ( − 1 ) b . then 87. Again , let a + ib = r ( cos + sin ◊ ) , r = = √ a2 + b2 = O'P , tan 0 = b a = tan NO'P . Thus ( cos + sin 0 ) r ( where r is the ...
... magnitude of O'P is what is called in Algebra the modulus of the expression a + √ ( − 1 ) b . then 87. Again , let a + ib = r ( cos + sin ◊ ) , r = = √ a2 + b2 = O'P , tan 0 = b a = tan NO'P . Thus ( cos + sin 0 ) r ( where r is the ...
Σελίδα 102
... magnitude of the angle . This point is of such great practical importance that we have treated it at some length in the next chapter . 107. The preceding articles afford examples of an im- portant general principle which is of great use ...
... magnitude of the angle . This point is of such great practical importance that we have treated it at some length in the next chapter . 107. The preceding articles afford examples of an im- portant general principle which is of great use ...
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angle Assistant-Master BOOKS calculated Cambridge centre CHAPTER circle circumscribing Classical coefficients cos² cos³ cosec cosh cosine Crown 8vo deduce difference distance divided Edited equal equation error escribed EXAMPLES expansion expression factors fcap Fellow Find formula given giving GRAMMAR greater Greek height Hence identity importance inscribed circle Introduction late Fellow LATIN length less limit logarithms magnitude measure method Multiply nearly Notes observed obtain Oxford points positive integer powers preparation Professor PROSE Prove quantity radii radius ratio Ready respectively result revised right angle roots Rule School Shew sides sin n sin² sin³ sine sinh Solve stands Tables tangent theorem Translated triangle triangle ABC Trigonometry Trinity College true University Vocabulary write
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