Exodus And Daniel; Two Old English Poems Preserved in Ms. Junius 11 in the Bodleian Library of the University of Oxford, England
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3. Given a = 120** 55' 35", ft = 88* 12' 20", C = 47* 42' 1"; find A = 129* 58' 2", B = 63* 15' 8", c = 55* 52' 40". 4. Given ft = 63* 15' 12", c = 47* 42' 1", A = 59* 4' 25"; find 5 = 88* 12' 24", C = 55* 52' 42", a = 50* 1' 40". 6. Given ft = 69* 25' 11", c = 109*46' 19", A = 54* 54' 42"; find J5 = 56* 11' 57", C = 123* 21' 12", a = 67* 11' 47". 168 SPHERICAL TRIGONOMETRY SECTION LVIII Case II Given two angles A and B, and the inclvded side c. The sidfes a and 6 may be found by the third and ...fourth of Napier's Analogies : * ^ tan i(a - ft) = '"^^^ t!:, T J tan i^c. ^^ ^ sin^(^+5) ^ The angle C may be found by [44], p. 158, by Napier's second Analogy, [50], p. 164, or by one of Gauss's Equations, [49], p. 164. Thus, Gauss's second equation gives cos ^ cos ^(a — b) Example. Given.4 = 107*47'7",5=38**58'27",c=5r41'14"; solve the triangle. J[ = 107°47' 7", B= 38° 58' 27'', c= 51'*41'14". log cos i(^ -B)-. logsec ^(A + B)z log tan \ c : log tan i (a + 6) : logsini(^ + B): log sec i (a - 6) : log cos ^ c = log cos i C : i(7: : 9.91648 : 0.54359 : 9.68517 : 0.14624 : 9.98146 : 0.01703 : 9.95423 : 9.95272 : 26° 15' 10" Hence, i(J[ - ^ = 34° 24' 20", i(^+5) = 73°22'47", ic = 25°50'37".
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