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 7
... equal to a given number , is called the logarithm of that number . The base of the common system of logarithms ( called , from their inventor , Briggs ' logarithms ) is the number 10. Hence all numbers are to be regarded as powers of 10 ...
... equal to a given number , is called the logarithm of that number . The base of the common system of logarithms ( called , from their inventor , Briggs ' logarithms ) is the number 10. Hence all numbers are to be regarded as powers of 10 ...
Página 8
... equal to -3 plus a fraction , and so on . The logarithms of most numbers , therefore , consist of an in- teger and a fraction . The integral part is called the charac- teristic , and may be known from the following RULE . The ...
... equal to -3 plus a fraction , and so on . The logarithms of most numbers , therefore , consist of an in- teger and a fraction . The integral part is called the charac- teristic , and may be known from the following RULE . The ...
Página 9
With Other Useful Tables Elias Loomis. other , is equal to the difference of the logarithms of those numbers . Hence we see that if we wish to divide one number by an- other , we have only to subtract the logarithm of the divisor from ...
With Other Useful Tables Elias Loomis. other , is equal to the difference of the logarithms of those numbers . Hence we see that if we wish to divide one number by an- other , we have only to subtract the logarithm of the divisor from ...
Página 13
... equal to the quotient of the numerator 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 ...
... equal to the quotient of the numerator 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 ...
Página 16
... equal to the difference of the logarithms of those numbers . Hence , for division by log . arithms , we have the following RULE . From the logarithm of the dividend , subtract the logarithm of the divisor ; the difference will be the ...
... equal to the difference of the logarithms of those numbers . Hence , for division by log . arithms , we have the following RULE . From the logarithm of the dividend , subtract the logarithm of the divisor ; the difference will be 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.