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A treatise on trigonometry and on trigonometric tables and logarithms
Visualização integral - 1812
Treatise on Trigonometry and Trigonometrical Tables and Logarithms; Together ...
Pré-visualização indisponível - 2012
acute affected angle BAC angular base becomes calculation called circle circular measure computation consequently containing corresponding cosc cosec decimal denoted described determined diff difference digits direction distance dividing division equal equation evidently expressed former formulæ four give given greater Hence horizontal hypothenuse increase intersect join known latter less less than 90 log-cos log-sin logarithms magnitude means middle minutes multiple nearly negative object observe obtained opposite perpendicular places plane pole positive produced proportional proved quantities radius relation replacing respectively right angle right-angled triangle shew sides signs Similarly sin A sin sines and cosines sinº solution sphere spherical triangle substituting subtracting suppose tables taken tangent triangle Trigonometrical Ratios unit values zero
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 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.