Plane and Spherical Trigonometry, Part 1Longmans Green and Comp., 1873 |
Other editions - View all
Common terms and phrases
a+log angle of elevation angle opposite azimuth b+log Calculation celestial equator celestial meridian colatitude cosec cubic decl declination diameter dist draw ecliptic EXAMPLES feet find angle find the angle formula given angle given sides Given two sides greater than 90 half sum half the given half the sum HAVERSINES heavenly body hence horizon hour-angle included angle less than 90 logarithms longitude meridian altitude miles natural number natural versine Nautical Navigation perpendicular plane triangle ABC point of Aries pole prime vertical PROB problem quantities regular polygon required angle required the angles required the latitude right ascension right-angled triangle sextant ship sine spherical triangle spherical triangle ABC Spherical Trigonometry subtract tables tabular logarithms tangent thence third side three sides whence x=log yards zenith
Popular passages
Page 73 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Page 106 - May-pole, whose top was broken off" by a blast of wind, struck the ground at the distance of 15 feet from the foot of the pole ; what was the height of the whole May-pole, supposing the length of the broken piece to be 39 feet ?
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.
Page 16 - The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor.