A Treatise on Higher TrigonometryMacmillan, 1884 - 208 σελίδες |
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Σελίδα
... prove as follows : I. Its value is 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 ...
... prove as follows : I. Its value is 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 ...
Σελίδα
... Prove that the first 13 terms of the series will give the value of e correct to 9 significant figures . + etc. = e . 2 ( 3 ) Prove that 4 6 8 + + + 3 5 | 7 1 1 + 2 1 + 2 + 3 1 + 2 + 3 + 4 e ( 4 ) Prove that 12+ + + + etc .: | 3 4 5 x2 ...
... Prove that the first 13 terms of the series will give the value of e correct to 9 significant figures . + etc. = e . 2 ( 3 ) Prove that 4 6 8 + + + 3 5 | 7 1 1 + 2 1 + 2 + 3 1 + 2 + 3 + 4 e ( 4 ) Prove that 12+ + + + etc .: | 3 4 5 x2 ...
Σελίδα 1
... prove as follows : I. Its value is less than 3 . For it is less than 1 1 1 1 1+ + + + + etc. 2 22 23 1 i.e. less than 1 + 1 + 2 ( 1 - i . e . less than 1 + 1 + 1 . II . Since it is less than 3 , the series is convergent . III . Its ...
... prove as follows : I. Its value is less than 3 . For it is less than 1 1 1 1 1+ + + + + etc. 2 22 23 1 i.e. less than 1 + 1 + 2 ( 1 - i . e . less than 1 + 1 + 1 . II . Since it is less than 3 , the series is convergent . III . Its ...
Σελίδα 2
... Prove that ( 1 ) Calculate the value of e by taking the first 13 terms of the series . ( 2 ) Prove that the first 13 terms of the series will give the value of e correct to 9 significant figures . + + + + etc . = e . 13 5 17 1 1 + 2 1 + ...
... Prove that ( 1 ) Calculate the value of e by taking the first 13 terms of the series . ( 2 ) Prove that the first 13 terms of the series will give the value of e correct to 9 significant figures . + + + + etc . = e . 13 5 17 1 1 + 2 1 + ...
Σελίδα 5
... Prove the following statements : 2 4 6 ( 2 ) + + + etc. 3 5 17 1 1 ( 3 ) log , 2 = + + 1 = - • e 1 + etc. = 1 - 2 3.4 5.6 1 1 1 - - etc. , 6. 7 2. 3 4.5 and calculate the value of log , 2 to 2 decimal places . 1 1 ( 4 ) 1 ( Result '69 ...
... Prove the following statements : 2 4 6 ( 2 ) + + + etc. 3 5 17 1 1 ( 3 ) log , 2 = + + 1 = - • e 1 + etc. = 1 - 2 3.4 5.6 1 1 1 - - etc. , 6. 7 2. 3 4.5 and calculate the value of log , 2 to 2 decimal places . 1 1 ( 4 ) 1 ( Result '69 ...
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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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