A Treatise on Higher TrigonometryMacmillan, 1884 - 208 σελίδες |
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Σελίδα 108
... height h . We know that the error in @ does not exceed 8. Hence we know that the consequent error in h cannot exeeed k = a tan ( 0 + 8 ) . where Hence h + k k = a { tan ( 0 + 8 ) – tan 0 } = ad sec2 0 neglecting squares and higher ...
... height h . We know that the error in @ does not exceed 8. Hence we know that the consequent error in h cannot exeeed k = a tan ( 0 + 8 ) . where Hence h + k k = a { tan ( 0 + 8 ) – tan 0 } = ad sec2 0 neglecting squares and higher ...
Σελίδα 109
... height to be measured . In the second case the error itself is very large , and although the height to be measured is large compared with the base a , the importance of the error is also large com- pared with 8 . It is a difficulty of ...
... height to be measured . In the second case the error itself is very large , and although the height to be measured is large compared with the base a , the importance of the error is also large com- pared with 8 . It is a difficulty of ...
Σελίδα 111
... height is 8 { cot ( a - ẞ ) - tan a } . EXAMPLES . XXXIV . ( 1 ) A triangle is solved from the given parts A , b , c ; if there is a small error & in the angle A prove that the consequent error in the calculated area of the triangle B ...
... height is 8 { cot ( a - ẞ ) - tan a } . EXAMPLES . XXXIV . ( 1 ) A triangle is solved from the given parts A , b , c ; if there is a small error & in the angle A prove that the consequent error in the calculated area of the triangle B ...
Σελίδα 112
... height of the mountain is a tan a cosec A. If there be a small error n " in the altitude at C the true height is very nearly ਨੂੰ . a tan a sin A + Cos C sin n ' sin A sin B sin 2a f ( 8 ) If in a triangle ABC the observed lengths of ...
... height of the mountain is a tan a cosec A. If there be a small error n " in the altitude at C the true height is very nearly ਨੂੰ . a tan a sin A + Cos C sin n ' sin A sin B sin 2a f ( 8 ) If in a triangle ABC the observed lengths of ...
Σελίδα 151
... height of the tower in terms of l , the length of the measured line . II . CAMBRIDGE PREVIOUS EXAMINATION . Dec. 1883 . 1. Define the cosecant and tangent of an angle . Shew that cosec24 = 1 + cot2 A. Find all the trigonometrical ratios ...
... height of the tower in terms of l , the length of the measured line . II . CAMBRIDGE PREVIOUS EXAMINATION . Dec. 1883 . 1. Define the cosecant and tangent of an angle . Shew that cosec24 = 1 + cot2 A. Find all the trigonometrical ratios ...
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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