. 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]. corresponding arcof right ascension, must be added to 180° for the whole rightascension. When the sun lias passed the solstitial point of13, and is ascending toward T, the longitude being subtract-ed from S60°, the remainder is the hypotenuse O °f ; andthe corresponding arc of right ascension A«f must be sub-tracted from 360°, to give the right ascension. While thelongitude is between 180° and 360° the declination is sout
. 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]. corresponding arcof right ascension, must be added to 180° for the whole rightascension. When the sun lias passed the solstitial point of13, and is ascending toward T, the longitude being subtract-ed from S60°, the remainder is the hypotenuse O °f ; andthe corresponding arc of right ascension A«f must be sub-tracted from 360°, to give the right ascension. While thelongitude is between 180° and 360° the declination is south. PROBLEM III. &iven the latitude of the place, and the suns declination ; tofind the Sufis altitude and azimuth at 6 oclock. Example. Suppose the latitude of the place to be 42°23 28 N, and the suns declination 23° 27 57 N ; requiredthe suns altitude and azimuth at 6 oclock. projection. Describe the primitivefor the meridian, HO forthe horizon, ZN for theprime vertical. Make OP=42° 23 28 N the lati-tude ; draw the six oclockhour circle PS, and theequinoctial EQ perpendic-ular to it. Project the par-allel of declination mn, atthe distance of 23° 27 57. 470 MATHEMATICS. from the equinoctial on the north side, and it will cut PSin 0, the suns place. Through Z, 0, N, describe theazimuth circle ZqN, cutting the horizon in A. CALCULATION. The things, given and required, are contained in either ofthe rectangular spheric triangles *fO A, or Z© P, which aresupplemental to each other. TO— the declination, A© =the altitude, A °p O = the latitude, ^A^the cc-azimuth,ZP = co-latitude, QZ = co-altitude, O? = co-declination,/. ©ZP, measured by the arc AO = the azimuth. 1. To Jind the altitude AQ. R 90° 10 : Sin. <f O 23 2757 9*6001036 :: Sin. AfQ 42 23 28 9*8287809 : Sin. AO 15 34 22 942d8845 2. To find the azimuth O^P, or AZO. Tang. ©P co-dec. 66° 32 3 ar. co. 9*6375933 : R 90 10* :: co-lat. 47 36 32 9*8683857 : Cot. ©ZP azim. 72 13 25reckoned irom the north }
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