Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic OperationsBaldwin, Cradock, and Joy, 1816 - 244 páginas |
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Página 22
... quadrant . The radius of a circle being 1 , the semi - circumference is known to be 3.14159265358979 . This being divided successively by 180 and 60 , or at once by 10800 , gives ⚫0002908882086657 , for the arc of 1 minute . Of so ...
... quadrant . The radius of a circle being 1 , the semi - circumference is known to be 3.14159265358979 . This being divided successively by 180 and 60 , or at once by 10800 , gives ⚫0002908882086657 , for the arc of 1 minute . Of so ...
Página 24
... quadrant the secants may be found from the expression sec = COS Other methods for all the trigonometrical lines are deduced from the expressions for the sines , tangents , & c . of multiple arcs ; but this is not the place to explain ...
... quadrant the secants may be found from the expression sec = COS Other methods for all the trigonometrical lines are deduced from the expressions for the sines , tangents , & c . of multiple arcs ; but this is not the place to explain ...
Página 37
... quadrant AE , the sine augments till it becomes equal to CE , the radius ; passing from 90 ° to 180 ° through the quadrant EA ' , the sine diminishes , but is to be regarded as positive till the are becomes AEA ' or 180 ° . In that ...
... quadrant AE , the sine augments till it becomes equal to CE , the radius ; passing from 90 ° to 180 ° through the quadrant EA ' , the sine diminishes , but is to be regarded as positive till the are becomes AEA ' or 180 ° . In that ...
Página 38
... quadrant ; as it obvi- ously ought to do , since the fifth quadrant is coincident with the first . In the 1st and 2d quadrants , then , the sines are + , In the 3d and 4th , they are - . If the arc were taken negatively , its sine would ...
... quadrant ; as it obvi- ously ought to do , since the fifth quadrant is coincident with the first . In the 1st and 2d quadrants , then , the sines are + , In the 3d and 4th , they are - . If the arc were taken negatively , its sine would ...
Página 39
... quadrant , where it passes alternately through nothing and infinity ; these being , indeed , the algebraic ... quadrants 11 ++ ++++ + 11 + 8 + ( A. ) 10. Let it be remembered that when the tangent passes through infinity , the secant ...
... quadrant , where it passes alternately through nothing and infinity ; these being , indeed , the algebraic ... quadrants 11 ++ ++++ + 11 + 8 + ( A. ) 10. Let it be remembered that when the tangent passes through infinity , the secant ...
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altitude angled spherical triangle azimuth base becomes bisect centre chap chord circle circle of latitude computation consequently cos² cosec cosine cotangent declination deduced determine dial diameter difference distance draw earth ecliptic equa equal equation Example find the rest formulæ given side h cos h half Hence horizon hour angle hypoth hypothenuse intersecting latitude logarithmic longitude measured meridian obliq oblique opposite angle parallel perpendicular plane angles plane triangle pole problem prop quadrant radius right angled spherical right angled triangle right ascension right line sec² secant sin A sin sin² sine solid angle sphere spherical excess spherical trigonometry star substyle sun's supposed surface tan² tangent theorem three angles three sides tion triangle ABC values versed sine versin vertical angle whence zenith