A Treatise on Trigonometry, Plane and Spherical: With Its Application to Navigation and Surveying, Nautical and Practical Astronomy and Geodesy : with Logarithmic, Trigonometrical, and Nautical TablesG.P. Putnam, 1852 - 496 pages |
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Page 2
... called its solution . 4 The method of solution just exhibited is rendered more practically useful by the employment of scales of equal parts and protractors . The most simple form of the scale of equal parts is shown in the annexed ...
... called its solution . 4 The method of solution just exhibited is rendered more practically useful by the employment of scales of equal parts and protractors . The most simple form of the scale of equal parts is shown in the annexed ...
Page 4
... called a unit . Thus a foot , a yard , & c . , are units of length , and the idea of the relative lengths of two lines is obtained by its being said that one is seven feet or yards , and the other nine . Or the just conception of the ...
... called a unit . Thus a foot , a yard , & c . , are units of length , and the idea of the relative lengths of two lines is obtained by its being said that one is seven feet or yards , and the other nine . Or the just conception of the ...
Page 5
... called a degree . A degree is the part of the circumference of a circle . The relation which any given arc bears to the whole circumference may be conveniently expressed by stating the number of degrees which the are contains . Thus an ...
... called a degree . A degree is the part of the circumference of a circle . The relation which any given arc bears to the whole circumference may be conveniently expressed by stating the number of degrees which the are contains . Thus an ...
Page 6
... called minutes , 60 of which make a degree , are employed . The angle is then said to contain as many degrees and minutes as there are degrees and parts of a degree , each over , between its sides . If the second side of the angle does ...
... called minutes , 60 of which make a degree , are employed . The angle is then said to contain as many degrees and minutes as there are degrees and parts of a degree , each over , between its sides . If the second side of the angle does ...
Page 7
... called the sexagesimal and the centesimal divisions . EXERCISES . 1. Convert 428 34 56`` or 425 • 3456 into degrees , & c . Ans . 38 ° 11104 or 38 ° 6 ' 39 ' ' • 74 . 2. Convert 24 ° 51 ′ 45 ′′ into grades , & c . 3. Prove 45 ° 15 ′ 20 ...
... called the sexagesimal and the centesimal divisions . EXERCISES . 1. Convert 428 34 56`` or 425 • 3456 into degrees , & c . Ans . 38 ° 11104 or 38 ° 6 ' 39 ' ' • 74 . 2. Convert 24 ° 51 ′ 45 ′′ into grades , & c . 3. Prove 45 ° 15 ′ 20 ...
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Common terms and phrases
altitude applied arith azimuth calculated called celestial sphere centre colatitude collimation column comp complement computed corresponding cos² cosc cosec cosine cot² cotangent decimal declination determine diagram diff divided employed equation error EXAMPLE expressed feet formula Geom given number half the sum height hence horizontal hour angle hypothenuse instrument latitude longitude means meridian middle wire miles multiplied Nautical Almanac negative number of degrees observed obtained parallel perpendicular plane triangle polar pole proportion quadrant quotient radius right angled triangle right ascension screw secant second member side opposite siderial sin a sin sin² sine and cosine sine of half solution sphere spherical triangle spherical trigonometry spirit level star substituting subtracting supporting axis supposed tables of Callet tangent telescope three sides transit trigonometrical lines vertex zenith distance