. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. nce in time 5 O 23, which, con- verted into degrees, is equal to 75° 5r 4>5 = the longitudeeast from Greenwich, because the time is later. Note. The time of the observation, if not shown by 3time keeper, may be calculated from the latitude of the placs,the suns altitude and declination. Ypl. II. Qqq 506 MATHEMATICS. PROBLEM XXVI. Given the latitude of the place, the obliquity of the ecliptic, thesuns longitude, and the
. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. nce in time 5 O 23, which, con- verted into degrees, is equal to 75° 5r 4>5 = the longitudeeast from Greenwich, because the time is later. Note. The time of the observation, if not shown by 3time keeper, may be calculated from the latitude of the placs,the suns altitude and declination. Ypl. II. Qqq 506 MATHEMATICS. PROBLEM XXVI. Given the latitude of the place, the obliquity of the ecliptic, thesuns longitude, and the hour ; to find the angle, formed bythe ecliptic and horizon, or the height of the nonagesimaldegree, the ascending point of the ecliptic, the point of thenonagesimal degree, the azimuth of the ascending pointythe culminating pointy its altitude, £?*c. LetHZON be themeridian, HO the ho-rizon, Z the zenith, Nthe nadir, EQ. the e-quinoctial, P the pole,CAM the ecliptic, Tthe first point of aries,S the sun, PSB an hourcircle, A the descend-ing point of the eclip-tic, AN 90°, N thehighest point of the e-cliptic, or the nonages-imal degree,and ZNGa vertical circle. II -. In the right-angled spheric triangle vSB, the data are thesuns longitude TS, and the obliquity of the ecliptic STB,to find the suns right ascension °f B. Hence, the hour being given, the distance of the meridi-ans, or the arc of the equinoctial BE, is known, and conse-quently its complement Bo. And hence 7> o = Y B—Bo isdetermined Therefore in the oblique spheric triangle ATo, the dataare Afo, the obliquity of the ecliptic, Ao^, the comple-ment of the latitude, and fo, to find the rest. 1. The angle ?Ao, and consequently its supplement SAo,which is the angle, formed by the ecliptic and horizon ; or* * SPHERIC ASTRONOMY. 507 which is the same, the arc NG, the height of the nonagesi-mal degree. 2. The side At, and consequently the point A, which isthe descending point of the ecliptic, and the opposite or as-c
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