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 81
... the reason why spherical trigonometry is of such great use in practical astronomy , the apparent heavens being regarded as in the shape of a concave sphere having its centre either at the centre of the E 5 General Properties , & c . 81.
... the reason why spherical trigonometry is of such great use in practical astronomy , the apparent heavens being regarded as in the shape of a concave sphere having its centre either at the centre of the E 5 General Properties , & c . 81.
Página 119
... apparent motion of the sun about the earth in the same interval of time . The circle in which the sun appears to move is called the ecliptic ; the angle in which it crosses the equinoctiał the obliquity of the ecliptic ; * and the two ...
... apparent motion of the sun about the earth in the same interval of time . The circle in which the sun appears to move is called the ecliptic ; the angle in which it crosses the equinoctiał the obliquity of the ecliptic ; * and the two ...
Página 120
... apparent diurnal motion passing over 360 ° of a circle parallel to the equator , goes throughth of them , or 15 ° , in an hour . 16. The right ascension of a celestial body is an arc of the equinoctial , intercepted between one of the ...
... apparent diurnal motion passing over 360 ° of a circle parallel to the equator , goes throughth of them , or 15 ° , in an hour . 16. The right ascension of a celestial body is an arc of the equinoctial , intercepted between one of the ...
Página 122
... apparent centre , has for its projection a right line sa equal to the sine of that arc . The quadrant CB or CD will be pro- jected into its sine , or radius . & $ CA An arc as AE CE- CA , will be projected into ae , sin CE → sin ca ...
... apparent centre , has for its projection a right line sa equal to the sine of that arc . The quadrant CB or CD will be pro- jected into its sine , or radius . & $ CA An arc as AE CE- CA , will be projected into ae , sin CE → sin ca ...
Página 123
... apparent motion de- scribes that parallel , has its inferior transit of the meri- dian at B. The point в which is its place on the sphere , is also its place then in the projection . The star being in the horizon at T , OT will be the ...
... apparent motion de- scribes that parallel , has its inferior transit of the meri- dian at B. The point в which is its place on the sphere , is also its place then in the projection . The star being in the horizon at T , OT will be the ...
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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