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 136
... substyle . 5. The angle included between the style and the sub- style is called the elevation of the style ; in the following formulæ it will be denoted by E. In a horizontal dial this is , evidently , equal to the latitude of the place ...
... substyle . 5. The angle included between the style and the sub- style is called the elevation of the style ; in the following formulæ it will be denoted by E. In a horizontal dial this is , evidently , equal to the latitude of the place ...
Página 137
... substyle and the meri- dian is called the horary angle of the substyle : it will be denoted by M. 15. The angle included between the substyle and the horizon is termed the inclination of the substyle : it will be denoted by s . GENERAL ...
... substyle and the meri- dian is called the horary angle of the substyle : it will be denoted by M. 15. The angle included between the substyle and the horizon is termed the inclination of the substyle : it will be denoted by s . GENERAL ...
Página 138
... substyle ; and мb is the inclination of the hour line to the meri- dian . Now , we may regard the dial whose plane coincides with mar , as a vertical or erect dial at the place whose zenith is м , where м and z are on the same meridian ...
... substyle ; and мb is the inclination of the hour line to the meri- dian . Now , we may regard the dial whose plane coincides with mar , as a vertical or erect dial at the place whose zenith is м , where м and z are on the same meridian ...
Página 140
... substyle and the hori zon is determined . And equa . ( 8 ) becomes sin EcoS L COS D .... ( 11. ) We have also , when м and z coincide , cot zrs = sin L cot D .... ( 12. ) Thus we obtain the horary angle of the substyle . 18. If D as ...
... substyle and the hori zon is determined . And equa . ( 8 ) becomes sin EcoS L COS D .... ( 11. ) We have also , when м and z coincide , cot zrs = sin L cot D .... ( 12. ) Thus we obtain the horary angle of the substyle . 18. If D as ...
Página 141
... substyle is perpendicular to the horizon . 19. If while I = O , D become = 90 ° ; then will equa . ( 10 ) be transformed to cot scot L ( 16 ) , and equa . ( 11 ) to sin E = 0 .... ( 17. ) This is the case of the erect direct east or ...
... substyle is perpendicular to the horizon . 19. If while I = O , D become = 90 ° ; then will equa . ( 10 ) be transformed to cot scot L ( 16 ) , and equa . ( 11 ) to sin E = 0 .... ( 17. ) This is the case of the erect direct east or ...
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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