A Treatise on Higher TrigonometryMacmillan, 1884 - 208 sider |
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Side 16
... radius OR . Let ROP . be 0 the angle q Divide the whole circumference of the circle 1 2 starting from Po , into q equal arcs , P ̧P1 , P ̧P ,, P ̧P ̧ , etc. Then each of the angles POP , POP , POP , ... etc. is equal to 2π q ; and in ...
... radius OR . Let ROP . be 0 the angle q Divide the whole circumference of the circle 1 2 starting from Po , into q equal arcs , P ̧P1 , P ̧P ,, P ̧P ̧ , etc. Then each of the angles POP , POP , POP , ... etc. is equal to 2π q ; and in ...
Side 18
... radius OR , measure off arcs P , P2 , PP , etc. each equal to RP1 . Then since n . ROP1 = 2π , n of these arcs will occupy the whole circumference , and OP will coincide with OR . Also , if r be a n 2TT whole number , in describing the ...
... radius OR , measure off arcs P , P2 , PP , etc. each equal to RP1 . Then since n . ROP1 = 2π , n of these arcs will occupy the whole circumference , and OP will coincide with OR . Also , if r be a n 2TT whole number , in describing the ...
Side 59
... radius equal to x describe a circle ; let ROP , be the angle a . Divide the whole circumference , starting from P. , into n equal parts , PP , PP , ... P - Po • Let OQ be equal to a , so that Q is any point in OR or in OR produced ...
... radius equal to x describe a circle ; let ROP , be the angle a . Divide the whole circumference , starting from P. , into n equal parts , PP , PP , ... P - Po • Let OQ be equal to a , so that Q is any point in OR or in OR produced ...
Side 63
... radius OR , be divided into n equal parts P ̧P1 , P1 P ̧ , etc. Then the sum 1 of the sines ( or of the cosines ) of all the ROP , ... ROP 2-1 angles ROP , is zero t . P1 Pa Po P3 Pn - 1 PR - 2 R Pn - 3 P This is an expression of the ...
... radius OR , be divided into n equal parts P ̧P1 , P1 P ̧ , etc. Then the sum 1 of the sines ( or of the cosines ) of all the ROP , ... ROP 2-1 angles ROP , is zero t . P1 Pa Po P3 Pn - 1 PR - 2 R Pn - 3 P This is an expression of the ...
Side 95
... radius unity . Let ROP be an angle nearly 90 ° ; draw PN , PM perpen- diculars to OR and OU . Then the arc UP and the line PM approach to coin- cidence as the angle POU is diminished . In other words the path of P differs very little ...
... radius unity . Let ROP be an angle nearly 90 ° ; draw PN , PM perpen- diculars to OR and OU . Then the arc UP and the line PM approach to coin- cidence as the angle POU is diminished . In other words the path of P differs very little ...
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TREATISE ON HIGHER TRIGONOMETR J. B. (John Bascombe) 1849-1921 Lock Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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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