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 121
... azimuth of that body ; the distance of the same circle from the east or west points is the ampli- tude . 25. In order to represent on a plane the celestial sphere with all its circles great and small , the ancients invented two kinds of ...
... azimuth of that body ; the distance of the same circle from the east or west points is the ampli- tude . 25. In order to represent on a plane the celestial sphere with all its circles great and small , the ancients invented two kinds of ...
Página 124
... to the horizon , QE will be to the radius QR the cosine of the azimuth , and EL per- pendicular to the horizon will be the sine of the alti- tude . To determine this from the projection , draw 124 Projections of the Sphere .
... to the horizon , QE will be to the radius QR the cosine of the azimuth , and EL per- pendicular to the horizon will be the sine of the alti- tude . To determine this from the projection , draw 124 Projections of the Sphere .
Página 158
... azimuths , the duration of twilight , & c . H S ' Z s ' S " R Let HZR be the meridian of the place of observation , HVR ... azimuth , measured also by the arc VR . Then the formula we may first employ in the present investi- gation , is ...
... azimuths , the duration of twilight , & c . H S ' Z s ' S " R Let HZR be the meridian of the place of observation , HVR ... azimuth , measured also by the arc VR . Then the formula we may first employ in the present investi- gation , is ...
Página 159
... azimuth in that case may be determined . 8. When the body s is in the horizon , or s and v co- incide , we have zs = : 90 ° , or cos n = 0 ; hence 0 sin d sin + cos d cos l cos P , sin d sin l or , cos P- ― cos d cos l tan d tan l ...
... azimuth in that case may be determined . 8. When the body s is in the horizon , or s and v co- incide , we have zs = : 90 ° , or cos n = 0 ; hence 0 sin d sin + cos d cos l cos P , sin d sin l or , cos P- ― cos d cos l tan d tan l ...
Página 160
... will obviously serve for the determi❤ nation of the azimuths , viz . tanz = sin ( ZPPS - sz ) sin ( Ps + ZS — ZP ) sin & ( ZP + Z8 — PS ) sin § ( PS + ZS + ZP ) - ( 13. ) Or , the angles z , s , and the 160 Astronomical Problems .
... will obviously serve for the determi❤ nation of the azimuths , viz . tanz = sin ( ZPPS - sz ) sin ( Ps + ZS — ZP ) sin & ( ZP + Z8 — PS ) sin § ( PS + ZS + ZP ) - ( 13. ) Or , the angles z , s , and the 160 Astronomical Problems .
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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