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 |
From inside the book
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Page 6
... subtract of the given go * Instead of thirds , fourths , & c . , the almost universal practice now is to use deci- mals of a second , viz . tenths , hundredths , and thousandths . number of grades from the given number itself . The 6 ...
... subtract of the given go * Instead of thirds , fourths , & c . , the almost universal practice now is to use deci- mals of a second , viz . tenths , hundredths , and thousandths . number of grades from the given number itself . The 6 ...
Page 15
... subtract 360 , and then apply the rule just given . If the arc contains a number of circumferences , divide by 360 , and apply the rule to the remainder . 18. It is customary , for the purpose of being able to bring the trigonometrical ...
... subtract 360 , and then apply the rule just given . If the arc contains a number of circumferences , divide by 360 , and apply the rule to the remainder . 18. It is customary , for the purpose of being able to bring the trigonometrical ...
Page 30
... subtracting the given angle 15 ° from 90 ° , since the two acute angles of a right angled triangle are complements of each other . The remainder is 75 ° . Applying the same formula as before , there results the proportion or the ...
... subtracting the given angle 15 ° from 90 ° , since the two acute angles of a right angled triangle are complements of each other . The remainder is 75 ° . Applying the same formula as before , there results the proportion or the ...
Page 37
... subtract the exponent of the divisor from that of the dividend in order to obtain that of the quotient . -4 n = n Since 7 — l ' is the exponent of the power to which it is necessary to raise b the base , in order to produce it follows ...
... subtract the exponent of the divisor from that of the dividend in order to obtain that of the quotient . -4 n = n Since 7 — l ' is the exponent of the power to which it is necessary to raise b the base , in order to produce it follows ...
Page 38
... subtract 1 , which is the log . of 10 , from the log . of the dividend . The characteristic of the first , 234.8 , which is between 100 = 102 and 1000 = 103 , is 2. The characteristic of the second is 1 ; and the characteristic of the ...
... subtract 1 , which is the log . of 10 , from the log . of the dividend . The characteristic of the first , 234.8 , which is between 100 = 102 and 1000 = 103 , is 2. The characteristic of the second is 1 ; and the characteristic of the ...
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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