An introduction to astronomy: designed as a text-book for the use of students in college. By Denison Olmsted ...

AS'i OtN()M IOALT IROBiltAEMS, 5
28' 40" iN'. onl the -first of April, 1822; its dcclination be1ri1ng
20~ 6' 50" T N.
For the Altitude. For the Azimuzth.
Zad. sin tBS: sin ASS sinS AS'ad cos A.::-e.ot B1) cot \.AS
ltad. 10. Cot 20 06' 50":1.0.436251. 5
Siin 20~ 06' 50"1 9.5364:62 C(os 51. 28 40 9.'79t:3612
Sin s51 28 40 9.893t ()3 {ad. 10.
Sin 15:36 27' 9.429,98265 Cot 77~ 09' 04:" 9.358106
Ex. 2. At latitudle 62~ 12' N. the altitude of the sun at 6
o'clock il the mornling was found( to be 180 20' 2t3": required
his declination and aziinuth.,tns. D)cc. 200 50' 12" N. Az. )90 56' 4"-/
1:i 5.' /w L.(ttittudes and.Longyitudes of two celestittl object?
being gtive. lo- fitlld their.Distance aparlt.
Let P (Fig. 21) rep1resent the pole of the ecliltic, and t' S,
P.S', two arcs of celestial latitude (A.rt. 3V) drawn to tihe two
olbjects SS'; tthenl wvill thlese arcs rc)p- Fig 2.
resent lie co-latitudes, the angle P? r
iwill be tthe diti'erenee of' longitlude,
at1ndt the arc 885' will 1) the dista'Rlice
sottuhlt I e, e we lavC e the two sides
ttand tthe included angle,givctll to find SJ n'
thel thtird side. e 1 Naptticlr' s'Rules
for tihe solution of oblique-anglcd spherical triangles (see
Spllerical Trigonomettr ytt), the sut and (liifflerence of the two
angles opposite tlhe givn sides ma. 1)0 fotund, and theltcc thle
antgles t-hemselvcs. The required side may then be fiiitnd by
the theolre, tllhat thl silles of the sides are as the sinles of their
olpp)osite anglPes.,' hie comlputation is omitte(t herel oln act.ouInt
of its great lengttl. If P' b tlhe pole of the e:tuator~ instead of
the eclilptic, thentl PS and 1 S'. will reprsent arcs of co-decllination, and the angle P will tlenote difference of right aseelsioil.
P1Froml these data, also, we may therefore derive tlhe distanco
between atny two stalrs. Or, finally, it P be tle tle 1 of thle
hoirzuon, the antgle t? will denote difference of azitulllth, and
oMore Concise foriutmlx fir the solltion of ttis case may be foutnd ill Young)
T'rigonolltrltt, p). 99; lo'Faao:mur's Utulograltphy, Art. 830; )Dr. Bowditch's
P'tacticat Navigator, p. 43,6.
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