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 102
... demonstration now commonly given of the rule was first published by Dr. Wallis , It was considered as a mere speculative truth , until General Roy , in 1787 , employed it very judiciously in the great Trigonome- trical Survey , to ...
... demonstration now commonly given of the rule was first published by Dr. Wallis , It was considered as a mere speculative truth , until General Roy , in 1787 , employed it very judiciously in the great Trigonome- trical Survey , to ...
Página 144
... demonstration is the same as in prob . 2 . The angle made between the style and substyle is here equal to the complement of the latitude . When the dial is placed vertically to face the proper cardinal 144 Dialling .
... demonstration is the same as in prob . 2 . The angle made between the style and substyle is here equal to the complement of the latitude . When the dial is placed vertically to face the proper cardinal 144 Dialling .
Página 236
... demonstration .. AC . BC CD2 ; ( AC + BC ) CD 2AC . BC 32. If the triangle ABC be spherical , and the same parts be given ; then COS ACD = COS BCD = Required a demonstration . sin ( AC + BC ) tan CD 2 sin AC sin BC 33. Given the north ...
... demonstration .. AC . BC CD2 ; ( AC + BC ) CD 2AC . BC 32. If the triangle ABC be spherical , and the same parts be given ; then COS ACD = COS BCD = Required a demonstration . sin ( AC + BC ) tan CD 2 sin AC sin BC 33. Given the north ...
Página 237
... demonstration . AB . AC 37. In any spherical triangle ABC , -- AC ) versin CB - versin A = versin ( CA - BA ) sin AC şin AB 38. Also , - [ versin CB versin ( CABA ) ] sin2 A = • sin AC sin AB 39. And versin CB - versin ( CA BA ) versin ...
... demonstration . AB . AC 37. In any spherical triangle ABC , -- AC ) versin CB - versin A = versin ( CA - BA ) sin AC şin AB 38. Also , - [ versin CB versin ( CABA ) ] sin2 A = • sin AC sin AB 39. And versin CB - versin ( CA BA ) versin ...
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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