A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms: Together with a Selection of Problems and Their SolutionsJ. & J.J. Deighton, and T. Stevenson, 1841 - 151 páginas |
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... given values of the sine , cosine , & c .......... 15 .......... 20 SECTION II . FORMULE INVOLVING THE TRIGONOMETRICAL RATIOS OF TWO OR MORE ANGLES . 35-37 . Formulæ for finding the sine and cosine of the sum and difference of two ...
... given values of the sine , cosine , & c .......... 15 .......... 20 SECTION II . FORMULE INVOLVING THE TRIGONOMETRICAL RATIOS OF TWO OR MORE ANGLES . 35-37 . Formulæ for finding the sine and cosine of the sum and difference of two ...
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... given angles ( provided their sum be equal to two right angles ) we can form an infinite number of triangles , which are not equal , but only similar to one another . Geometry furnishes simple construc- tions for each of the cases in ...
... given angles ( provided their sum be equal to two right angles ) we can form an infinite number of triangles , which are not equal , but only similar to one another . Geometry furnishes simple construc- tions for each of the cases in ...
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... given in grades , minutes , & c . can be expressed decimally by inspection , and conversely - whereas , in the sexagesimal division , to effect the same reductions , arithmetical processes are required - the latter division is generally ...
... given in grades , minutes , & c . can be expressed decimally by inspection , and conversely - whereas , in the sexagesimal division , to effect the same reductions , arithmetical processes are required - the latter division is generally ...
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... magnitudes of angles , will be respectively and arc the fraction When 2 gene- is used to measure an angle , we shall radius rally denote it by a letter of the Greek alphabet . 9. Having given the measure of an angle where the.
... magnitudes of angles , will be respectively and arc the fraction When 2 gene- is used to measure an angle , we shall radius rally denote it by a letter of the Greek alphabet . 9. Having given the measure of an angle where the.
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... given referred to the unit w , its measure in degrees will be 0 × 57 ° 29577 ; and , conversely , if an angle A be given in degrees , its measure when w is taken for the unit , will be A 57.29577 Definitions of the Trigonometrical ...
... given referred to the unit w , its measure in degrees will be 0 × 57 ° 29577 ; and , conversely , if an angle A be given in degrees , its measure when w is taken for the unit , will be A 57.29577 Definitions of the Trigonometrical ...
Outras edições - Ver tudo
A treatise on trigonometry and on trigonometric tables and logarithms John Hymers Visualização integral - 1812 |
Treatise on Trigonometry and Trigonometrical Tables and Logarithms; Together ... John Hymers Pré-visualização indisponível - 2012 |
Palavras e frases frequentes
ABC fig acute angle BAC arcs bisected calculation circular measure circumscribed circle consequently cos² cos³ cosec cotangent decimal point denoted determined diff difference digits distance equal equation expressed find the angle formula given angle Hence horizontal hypothenuse included angle inscribed integer intersect less than 90 log-cos log-cosine log-sin log-tan loga logarithms magnitude multiple negative opposite angles perpendicular pole polygon positive produced quadrant quantities radius regular polygon right angle right-angled triangle sec² shew side opposite Similarly sin a sin sin² sin³ sines and cosines solid angle solution sphere spherical triangle Spherical Trigonometry subsidiary angle subtends subtracting suppose tables tan² tan³ tangent telescope three sides triangle ABC Trigono Trigonometrical Ratios values Vernier zero
Passagens conhecidas
Página 3 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Página 95 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 127 - suffice to afford such an approximation to it as shall be of use in the ' present stage of the reader's knowledge, and help him to many just ' conceptions, on which account we shall exemplify its application in ' numbers. Now, it appears by observation, that two points, each ten...
Página 50 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Página 49 - ... these elements must be given, one of which must be a side, in order to solve a plane triangle. The solution of plane triangles depends upon the following FUNDAMENTAL PROPOSITIONS. 109. In a right-angled triangle, the side opposite to an acute angle is equal to the product of the hypothenuse into the sine of the angle ; and the side adjacent to an acute angle is equal to the product of the hypothenuse into the cosine of the angle. Let...
Página 25 - В; by means of which we can express the sine and cosine of the sum or difference of two angles in terms of the sines and cosines of the angles themselves.
Página 17 - OP — sin A cos B + cos A sin B. OM_OQ-QM_OQ NR '" OP~ OP ~ OP OP _ OQ_ ON_NR NP "ON'OP~WP'"OP =^cos A cos .B- sin .4 sin B. 77. To express the sine and cosine of the difference of two angles in terms of the sines and cosines of the angles themselves.