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 88
... find the rest . sin b sin a = ; or , sin hypoth . sin given side sin B sin c tan b cot B ; or , sin side req . = tan given side x sin opp . angle cot opp . angle . sin c = COS B cos b cos given angle or , sin req . angle = cos given ...
... find the rest . sin b sin a = ; or , sin hypoth . sin given side sin B sin c tan b cot B ; or , sin side req . = tan given side x sin opp . angle cot opp . angle . sin c = COS B cos b cos given angle or , sin req . angle = cos given ...
Página 114
... find the rest . = Example IV . Given one leg 42 ° 12 ′ , and its opposite angle = 48 ° ; to find the rest . Given a leg to find the rest . Example V. 54 ° 48 ′ , and its adjacent angle = 48 ° ; Example VI . Given the two legs 54 ° 19 ...
... find the rest . = Example IV . Given one leg 42 ° 12 ′ , and its opposite angle = 48 ° ; to find the rest . Given a leg to find the rest . Example V. 54 ° 48 ′ , and its adjacent angle = 48 ° ; Example VI . Given the two legs 54 ° 19 ...
Página 115
... find the rest . This example corresponds with case 2 , A prob . 2 , of oblique angled spherical trian- gles ; and may first be solved by means of the subsidiary are , in the manner there ex- plained . Thus , first find , so that tan cos ...
... find the rest . This example corresponds with case 2 , A prob . 2 , of oblique angled spherical trian- gles ; and may first be solved by means of the subsidiary are , in the manner there ex- plained . Thus , first find , so that tan cos ...
Página 117
... find the rest . Ans . A 48 ° 30 ′ , в = 62 ° 54 ′ , b = 83 ° 12 ' . Example XI , Given A = 48 ° 30 ′ , c = 125 ° 20 ′ , c = 114 ° 30 ′ ; to find the rest . Example XII . Given a = 56 ° 40 ′ , c = 114 ° 30 ′ , в = 62 ° 54 ; to find the ...
... find the rest . Ans . A 48 ° 30 ′ , в = 62 ° 54 ′ , b = 83 ° 12 ' . Example XI , Given A = 48 ° 30 ′ , c = 125 ° 20 ′ , c = 114 ° 30 ′ ; to find the rest . Example XII . Given a = 56 ° 40 ′ , c = 114 ° 30 ′ , в = 62 ° 54 ; to find the ...
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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