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altitude base bearing Calculation called celestial circle containing cosec course decl declination determine diameter difference dist distance draw earth elevation equal equator EXAMPLES expressions feet figure formula given angle given sides greater half HAVERSINES heavenly body height hence horizon hour hour-angle inches included angle join known latitude length less logarithms mark measured meridian method miles namely object observed opposite parallel passing perpendicular plane triangle pole position PROB problem proportion quantities ratio reduce remainder represent required angle result right-angled triangle Rule sailing ship sine solution solved spherical triangle station subtract sun's suppose surface taken tangent thence three sides triangle ABC Trigonometry versine vertical whence yards zenith
Page 73 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Page 60 - RULE. from half the sum of the three sides, subtract each side separately; multiply the half sum and the three remainders together, and the square root of the product will be the area required.
Page 182 - AB describe a segment of a circle containing an angle equal to the given angle, (in.
Page 10 - Hence, if we find the logarithm of the dividend, and from it subtract the logarithm of the divisor, the remainder will be the logarithm of the quotient. This additional caution may be added. The difference of the logarithms, as here used, means the algebraic difference ; so that, if the logarithm of the divisor...
Page 176 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 126 - The right ascension of a heavenly body is the arc of the equator, intercepted between the first point of Aries and the circle of declination, passing through the place of the heavenly body...
Page 127 - The hour angle of a heavenly body, is the angle at the pole between the celestial meridian and the circle of declination passing through the place of the body ; thus, zpx is the hour angle of x.
Page 43 - What is the solidity of a prolate spheroid, whose axes are 40 and 50 ? Ans.