An elementary treatise on plane trigonometryMacmillan, 1858 - 106 sider |
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Side 5
... less than two right angles ; but when OP has passed OA ' , and arrived at such a position as OP ,, the Trigonometrical idea of the angle differs from Euclid's : Euclid would now measure the angle AOP by the amount of inclination of OP ...
... less than two right angles ; but when OP has passed OA ' , and arrived at such a position as OP ,, the Trigonometrical idea of the angle differs from Euclid's : Euclid would now measure the angle AOP by the amount of inclination of OP ...
Side 18
... less than a right angle . We will first find the Trigonometrical Ratios of the supple- ment of an angle . Let A'OPAOP , absolutely ( fig . Art . 7 ) : then AOP2 is the supplement of AOP , or a , that is , AOP2 = 180 ° - a . Let 2 ON = x ...
... less than a right angle . We will first find the Trigonometrical Ratios of the supple- ment of an angle . Let A'OPAOP , absolutely ( fig . Art . 7 ) : then AOP2 is the supplement of AOP , or a , that is , AOP2 = 180 ° - a . Let 2 ON = x ...
Side 20
... less than 90 ° ; that they are true for all values whatever of a the student may satisfy him- self by drawing figures to represent the different cases : for a more logical proof that these forms are true for all angles whatever he must ...
... less than 90 ° ; that they are true for all values whatever of a the student may satisfy him- self by drawing figures to represent the different cases : for a more logical proof that these forms are true for all angles whatever he must ...
Side 21
... less than 90 ° . If the angle is negative make it positive by formulæ in Art . 16 . If the angle is greater than 360 ° , suppress 360 ° as often as necessary to make it less than 360 ° by Art . 18 . If the angle is now greater than 180 ...
... less than 90 ° . If the angle is negative make it positive by formulæ in Art . 16 . If the angle is greater than 360 ° , suppress 360 ° as often as necessary to make it less than 360 ° by Art . 18 . If the angle is now greater than 180 ...
Side 24
... less than x and y , and therefore the sine and cosine are never greater than 1 , and the secant and cosecant never less than 1 : and since x and y may have any ratio to each other , the tan- gent and cotangent may have any values ...
... less than x and y , and therefore the sine and cosine are never greater than 1 , and the secant and cosecant never less than 1 : and since x and y may have any ratio to each other , the tan- gent and cotangent may have any values ...
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An Elementary Treatise on Plane Trigonometry Richard Dunkley Beasley Ingen forhåndsvisning tilgjengelig - 2019 |
Vanlige uttrykk og setninger
1+tan a+b+c a+B+y a+tan angle AOP AOP₁ arithmetical progression BERNARD DRAKE circular measure cloth complement Construct the angle cos² cosec cosine cot² cotangent Crown 8vo decimal distance equal equation Euclid EXAMPLES Fcap feet Fellow of St Fellow of Trinity Find the number foot formulæ given height horizontal plane hypothenuse inscribed circle John's College late Fellow loga logarithms M.A. Fellow magnitude miles negative angle number of degrees observes the angle opposite sides perpendicular polygon positive quadrant radii radius respectively revolving line right angle right-angled triangle sec² secant Second Edition Sermons sewed Shew sides and angles sin ß sin² sin² ß sin³ tan¹ tan² tan³ tangent tower Treatise Trigono Trigonometrical Ratios Trinity College unit of length University of Cambridge vers yards
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