Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful TablesHarper & brothers, 1859 - 150 páginas |
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Página 8
... divided by sub- tracting their exponents ( Alg . , Art . 66 ) , The logarithm of the quotient of one number divided by an- other , is equal to the difference of the logarithms 8 TRIGONOMETRY .
... divided by sub- tracting their exponents ( Alg . , Art . 66 ) , The logarithm of the quotient of one number divided by an- other , is equal to the difference of the logarithms 8 TRIGONOMETRY .
Página 9
... divided by 10 , its logarithm will be increased or diminished by 1 ; and as this is an integer , it will only change the characteristic of the logarithm , without affecting the decimal part . Hence The decimal part of the logarithm of ...
... divided by 10 , its logarithm will be increased or diminished by 1 ; and as this is an integer , it will only change the characteristic of the logarithm , without affecting the decimal part . Hence The decimal part of the logarithm of ...
Página 12
... , the decimal part of the logarithm of any number is the same as that of the number multiplied or divided by 10 , 100 , 1000 , & c . Hence , for a decimal frac tion , we find the logarithm as if the figures 12 TRIGONOMETRY .
... , the decimal part of the logarithm of any number is the same as that of the number multiplied or divided by 10 , 100 , 1000 , & c . Hence , for a decimal frac tion , we find the logarithm as if the figures 12 TRIGONOMETRY .
Página 13
... divided by the denominator , we may , according to Art . 3 , subtract the logarithm of the denominator from that of the numerator ; the difference will be the logarithm of the fraction . Ex . 1. Find the logarithm of , or 0.1875 . From ...
... divided by the denominator , we may , according to Art . 3 , subtract the logarithm of the denominator from that of the numerator ; the difference will be the logarithm of the fraction . Ex . 1. Find the logarithm of , or 0.1875 . From ...
Página 16
... divided by 42.24 . The logarithm of 888.7 is 2.948755 66 66 42.24 is 1.625724 The quotient is 21.039 , whose log . is 1.323031 . Ex . 2. Required the quotient of 3807.6 divided by 13.7 . Ans . , 277.927 . The word difference , in the ...
... divided by 42.24 . The logarithm of 888.7 is 2.948755 66 66 42.24 is 1.625724 The quotient is 21.039 , whose log . is 1.323031 . Ex . 2. Required the quotient of 3807.6 divided by 13.7 . Ans . , 277.927 . The word difference , in the ...
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Términos y frases comunes
9 I I altitude angle of elevation arithm base chains circle Co-sine Co-tangent complement computed correction cosecant course and distance decimal diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm frustum given number given the angle height Hence horizontal plane hypothenuse inches latitude and departure length LO LO LO logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles parallel parallel sailing perpendicular places plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract surface tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction wyll yards zoids ΙΙ ΙΟ
Pasajes populares
Página 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Página 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.
Página 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Página 54 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Página vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.
Página 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.