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 2
... tangents , & c . which we are about to de- fine . They are lines , but lines which admit of being measured only by parts of an assigned line , the radius of a certain circle ; and lines which at the same time depend altogether , for ...
... tangents , & c . which we are about to de- fine . They are lines , but lines which admit of being measured only by parts of an assigned line , the radius of a certain circle ; and lines which at the same time depend altogether , for ...
Página 5
... tangent . 17. These are also , by way of accommodation , said to be the sine , tangent , & c . of the angle measured by the aforesaid arc , to its determinate radius . 18. The cosine of an arc or angle , is the sine of the complement of ...
... tangent . 17. These are also , by way of accommodation , said to be the sine , tangent , & c . of the angle measured by the aforesaid arc , to its determinate radius . 18. The cosine of an arc or angle , is the sine of the complement of ...
Página 6
... tangent .... ditto .... secant .... ditto . versed sine ditto cosine ...... ditto cotangent .. ditto ... cosecant .... ditto coversed sine ditto .... 1 tan AB , sec AB , versin AB , COS AB , cot AB , cosec AB , coversin AB . Corollaries ...
... tangent .... ditto .... secant .... ditto . versed sine ditto cosine ...... ditto cotangent .. ditto ... cosecant .... ditto coversed sine ditto .... 1 tan AB , sec AB , versin AB , COS AB , cot AB , cosec AB , coversin AB . Corollaries ...
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... tangent , and versed sine , are evanescent also , and the secant be- comes equal to the radius , being its minimum limit . As the arc increases from this state , the sines , tangents , secants , and versed sines , increase ; thus they ...
... tangent , and versed sine , are evanescent also , and the secant be- comes equal to the radius , being its minimum limit . As the arc increases from this state , the sines , tangents , secants , and versed sines , increase ; thus they ...
Página 8
... tangents , secants , and versed sines , to an assumed ra- dius , that correspond to arcs from 1 second of a degree , through all the gradations of magnitude , up to a qua- drant , or 90 ° . The results of the computations are " ar ...
... tangents , secants , and versed sines , to an assumed ra- dius , that correspond to arcs from 1 second of a degree , through all the gradations of magnitude , up to a qua- drant , or 90 ° . The results of the computations are " ar ...
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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