A Treatise on Higher TrigonometryMacmillan, 1884 - 208 σελίδες |
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... less than 3 . For it is less than 1 1 1 1 1+ + + + 1 2 2o 23 + etc. 16 1 i.e. less than 1 + 1 + 21 - 1 / } , i . e . less than 1 + 1 + 1 . II . Since it is less than 3 , the series is convergent . III . Its value is 2.71828182 ... This ...
... less than 3 . For it is less than 1 1 1 1 1+ + + + 1 2 2o 23 + etc. 16 1 i.e. less than 1 + 1 + 21 - 1 / } , i . e . less than 1 + 1 + 1 . II . Since it is less than 3 , the series is convergent . III . Its value is 2.71828182 ... This ...
Σελίδα
... less than n + 1 1 1 1 1 + n + 1 ( n + 1 ) 3 + ( n + 1 ) 3 + etc. , i . e . less than n Hence we have to suppose that m❘n - 1 ( a whole number ) = a whole number + a proper fraction ; which is absurd . V. Since the numerical value of ...
... less than n + 1 1 1 1 1 + n + 1 ( n + 1 ) 3 + ( n + 1 ) 3 + etc. , i . e . less than n Hence we have to suppose that m❘n - 1 ( a whole number ) = a whole number + a proper fraction ; which is absurd . V. Since the numerical value of ...
Σελίδα 1
... less than 3 . For it is less than 1 1 1 1 1 + + + 222 + 23 + etc. 1 1 i.e. less than 1 + 1 + 21 - i.e. less than II . 1 + 1 + 1 . Since it is less than 3 , the series is convergent . III . Its value is 2.71828182 ... This may be easily ...
... less than 3 . For it is less than 1 1 1 1 1 + + + 222 + 23 + etc. 1 1 i.e. less than 1 + 1 + 21 - i.e. less than II . 1 + 1 + 1 . Since it is less than 3 , the series is convergent . III . Its value is 2.71828182 ... This may be easily ...
Σελίδα 2
... less than 1 1 + ( n + 1 ) 3 1 + n + 1 ( n + 1 ) 3 Hence we have to suppose that mn - = a whole number + a proper fraction ; which is absurd . V. Since the numerical value of the series is incom- mensurable , and we know of no surd or ...
... less than 1 1 + ( n + 1 ) 3 1 + n + 1 ( n + 1 ) 3 Hence we have to suppose that mn - = a whole number + a proper fraction ; which is absurd . V. Since the numerical value of the series is incom- mensurable , and we know of no surd or ...
Σελίδα 5
... less than 1 . to 1 , Therefore , when y lies between 1 and +1 or is equal 2 loge ( 1+ y ) = y − } . y3 + } • y3 − } • ya + etc. This is the required Logarithmic Expansion . EXAMPLES . II . ( 1 ) Calculate the numerical value of twelve ...
... less than 1 . to 1 , Therefore , when y lies between 1 and +1 or is equal 2 loge ( 1+ y ) = y − } . y3 + } • y3 − } • ya + etc. This is the required Logarithmic Expansion . EXAMPLES . II . ( 1 ) Calculate the numerical value of twelve ...
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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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