A Span Classsearchtermspan Classsearchtermcollectionspanspan of
A Span Classsearchtermspan Classsearchtermcollectionspanspan of
James Robert Christie
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If a, b, c are the sides opposite to the angles A, j5, C of a spherical triangle, show that cos c = cos a cos 6 + sin a sin b cos C. 4. Show that, if 8 = - (a + b + c), tan - A 'sin (s b) sin (s c) m sin s sin (s a) and thence that, tan \ (A + S) = cos i( a ~*) co t C. cos ^ (a + b) 5. The base of a right-angled spherical triangle is 57 19' and the adjacent acute angle 31 53': find the remaining parts of the triangle by Napier's Rules. ASTRONOMY. 6. Define the following terms: "Zenith;" "Meridi...an;" "Prime vertical;" "Azimuth;" "Hour circles;" " Right Ascension and Declination;" "Latitude and Longitude of a heavenly body;" " Latitude and Longitude of a place on the earth. " 7. Point out by means of a figure how the time from appa- rent noon is determined from the observed altitude of the sun on a given day, knowing the latitude of the place of observation. 8. Find the latitude of a place in terms of /*, the observed time of the sun being on the prime vertical, and 8 the north polar distance of the sun.
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