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 4
... supposed to be divided , or to be divisible , into 360 equal parts , called degrees ; each degree into 60 equal parts , called minutes ; each of these into 60 equal parts , called seconds ; and so on , to the minutest possible ...
... supposed to be divided , or to be divisible , into 360 equal parts , called degrees ; each degree into 60 equal parts , called minutes ; each of these into 60 equal parts , called seconds ; and so on , to the minutest possible ...
Página 8
... supposed to be the logarithms of sines , tangents , secants , & c . computed to the radius 10000000000. The numbers thus computed and placed on the successive right hand pages are called logarithmic sines , tangents , & c . The numbers ...
... supposed to be the logarithms of sines , tangents , secants , & c . computed to the radius 10000000000. The numbers thus computed and placed on the successive right hand pages are called logarithmic sines , tangents , & c . The numbers ...
Página 30
... supposed given , the line ABB ' can only be cut in one point . Hence the practical maxim may be thus ex- pressed : —when cв is proposed less than AC sin A , the data are erroneous ; when it is given greater than AC there can be only one ...
... supposed given , the line ABB ' can only be cut in one point . Hence the practical maxim may be thus ex- pressed : —when cв is proposed less than AC sin A , the data are erroneous ; when it is given greater than AC there can be only one ...
Página 37
... supposed to commence at A , and to increase in the direction ABEA'B . As the arc augments through the first quadrant AE , the sine augments till it becomes equal to CE , the radius ; passing from 90 ° to 180 ° through the quadrant EA ...
... supposed to commence at A , and to increase in the direction ABEA'B . As the arc augments through the first quadrant AE , the sine augments till it becomes equal to CE , the radius ; passing from 90 ° to 180 ° through the quadrant EA ...
Página 42
... supposed it to be unity . If we wish to make the above or any other formulæ , appli- cable to cases where the radius has another value R , we for sin A , have only to substitute in the expression , COS A R tan A R sin A R for cos A ...
... supposed it to be unity . If we wish to make the above or any other formulæ , appli- cable to cases where the radius has another value R , we for sin A , have only to substitute in the expression , COS A R tan A R sin A R for cos A ...
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Términos y frases comunes
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