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 11
... angle , and conse- quently its complement ATC . The sides AT , and AC , opposite to those angles , would then be equal ; that is , tan 45 ° radius . = Cor . From this and prop . 5 , it is evident that the sine of 30 ° , tangent of 45 ...
... angle , and conse- quently its complement ATC . The sides AT , and AC , opposite to those angles , would then be equal ; that is , tan 45 ° radius . = Cor . From this and prop . 5 , it is evident that the sine of 30 ° , tangent of 45 ...
Página 17
... angle opposite to that leg ; and one of the legs is to the other , as the radius to the tangent of the angle opposite to the latter . Let ABC be a triangle , right - angled at B , and let AR on the leg AB , be the ra- dius of the tables ...
... angle opposite to that leg ; and one of the legs is to the other , as the radius to the tangent of the angle opposite to the latter . Let ABC be a triangle , right - angled at B , and let AR on the leg AB , be the ra- dius of the tables ...
Página 19
... angle . From the centre c ( namely , the vertical angle of the triangle ABC ) with the distance of the greater side ... opposite side BC : then ( Euc . ii . 12 , 13 ) the difference of the sum of the squares of AC , CB , and the square of A D ...
... angle . From the centre c ( namely , the vertical angle of the triangle ABC ) with the distance of the greater side ... opposite side BC : then ( Euc . ii . 12 , 13 ) the difference of the sum of the squares of AC , CB , and the square of A D ...
Página 25
... opposite angle are two of the given parts ; and , if it be considered that when two angles of a plane triangle are known , the third is , in fact , given , because it is the supplement of their sum , it will appear that those varieties ...
... opposite angle are two of the given parts ; and , if it be considered that when two angles of a plane triangle are known , the third is , in fact , given , because it is the supplement of their sum , it will appear that those varieties ...
Página 26
... angle , To its opposite side ; So is the sine of either of the other angles , To its opposite side . If an angle be required , begin the proportion with a side , and say , As one of the given sides , Is to the sine of its opposite angle ...
... angle , To its opposite side ; So is the sine of either of the other angles , To its opposite side . If an angle be required , begin the proportion with a side , and say , As one of the given sides , Is to the sine of its opposite angle ...
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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