A Treatise on Higher TrigonometryMacmillan, 1884 - 208 σελίδες |
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... greater than and less than n + 1 1 1 1 1 + n + 1 ( n + 1 ) 3 + ( n + 1 ) 3 + etc. , i . e . less than n Hence we ... greater than -1 and is not greater than 1 . CHAPTER I. THE EXPONENTIAL AND LOGARITHMIC SERIES . 1. THE 2 TRIGONOMETRY .
... greater than and less than n + 1 1 1 1 1 + n + 1 ( n + 1 ) 3 + ( n + 1 ) 3 + etc. , i . e . less than n Hence we ... greater than -1 and is not greater than 1 . CHAPTER I. THE EXPONENTIAL AND LOGARITHMIC SERIES . 1. THE 2 TRIGONOMETRY .
Σελίδα 2
... greater than n + 1 + + etc. 1 and less than 1 1 + ( n + 1 ) 3 1 + n + 1 ( n + 1 ) 3 Hence we have to suppose that mn ... greater than - 1 and is not greater than 1 . 2. Expansion of e * in ascending powers of x 27 TRIGONOMETRY .
... greater than n + 1 + + etc. 1 and less than 1 1 + ( n + 1 ) 3 1 + n + 1 ( n + 1 ) 3 Hence we have to suppose that mn ... greater than - 1 and is not greater than 1 . 2. Expansion of e * in ascending powers of x 27 TRIGONOMETRY .
Σελίδα 3
... greater than 1 . Therefore they are arithmetically intelligible and true however great n may be . And in the limit , when n is in- finitely increased , the above statement becomes [ cf. Art . 8 ] or , 1 +1+ + { 1+ 1 | 3 e2 = 1 + + etc ...
... greater than 1 . Therefore they are arithmetically intelligible and true however great n may be . And in the limit , when n is in- finitely increased , the above statement becomes [ cf. Art . 8 ] or , 1 +1+ + { 1+ 1 | 3 e2 = 1 + + etc ...
Σελίδα 6
... greater than 1 and is greater than – 1 ; also , unless y is small , the series converges very slowly . It is therefore not a convenient series for the purposes numerical calculation . We proceed to obtain such a series . of 6. Since log ...
... greater than 1 and is greater than – 1 ; also , unless y is small , the series converges very slowly . It is therefore not a convenient series for the purposes numerical calculation . We proceed to obtain such a series . of 6. Since log ...
Σελίδα 10
... ) Prove that the limit of ( cos ) em where m is an integer , a2 and is infinitely diminished is zero , e greater , equal to , or less than 2 . " or 1 according as m is * MISCELLANEOUS EXAMPLES . V. ( 1 ) Since a 10 TRIGONOMETRY .
... ) Prove that the limit of ( cos ) em where m is an integer , a2 and is infinitely diminished is zero , e greater , equal to , or less than 2 . " or 1 according as m is * MISCELLANEOUS EXAMPLES . V. ( 1 ) Since a 10 TRIGONOMETRY .
Άλλες εκδόσεις - Προβολή όλων
TREATISE ON HIGHER TRIGONOMETR J. B. (John Bascombe) 1849-1921 Lock Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+ẞ Algebra angular points arithmetical ascending powers calculated Cambridge centre circular measure circumscribing circle Classical Series coefficients cos² cos³ cosec cosh nx cosine Crown 8vo deduce different values distance Edited by Rev equal escribed circles Eton College EXAMPLES Expand expression Extra fcap fcap Fellow of St Find form A+iB formula GRAMMAR greater Hence inscribed inscribed circle integer Introductions and Notes J. P. MAHAFFY John's College King's College late Fellow less limit LIVY logarithms MACMILLAN'S CLASSICAL CATALOGUE Moivre's Theorem nine-points circle nth roots obtain Oxford P₁ perpendiculars positive integer Prove the following quadratic factors radii radius right angle roots School sec² Shew sides sin n sin² sin³ sine sinh Sum the series Tables tan-¹ tan² tangent triangle ABC Trigonometry Trinity College Vocabulary whole number
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