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
... Hence all numbers are to be regarded as powers of 10. Thus , since 10 ° = 1 , O is the logarithm of 1 in Briggs ' system ; 101 = 10 , 1 66 66 10 66 66 102 = 100 , 2 66 66 100 ( 6 66 10 = 1000 , 3 66 66 1000 66 66 10 ' = 10000 , 4 ( 6 66 ...
... Hence all numbers are to be regarded as powers of 10. Thus , since 10 ° = 1 , O is the logarithm of 1 in Briggs ' system ; 101 = 10 , 1 66 66 10 66 66 102 = 100 , 2 66 66 100 ( 6 66 10 = 1000 , 3 66 66 1000 66 66 10 ' = 10000 , 4 ( 6 66 ...
Página 8
... Hence we see that if it is required to multiply two or more numbers by each other , we have only to add their logarithms : the sum will be the logarithm of their product . We then look in the table for the number answering to that ...
... Hence we see that if it is required to multiply two or more numbers by each other , we have only to add their logarithms : the sum will be the logarithm of their product . We then look in the table for the number answering to that ...
Página 9
... 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 that of the dividend ; the difference will be the logarithm of their quotient . ( 4. ) Since , in Briggs ...
... 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 that of the dividend ; the difference will be the logarithm of their quotient . ( 4. ) Since , in Briggs ...
Página 11
... Hence the logarithm of 7250.1 must be 3.860344 ; 66 ( 6 66 ( 6 7250.2 7250.3 66 3.860350 ; ( 6 3.860356 . In order to facilitate the computation , the tabular difference is inserted on page 16 in the column headed D. , and the pro ...
... Hence the logarithm of 7250.1 must be 3.860344 ; 66 ( 6 66 ( 6 7250.2 7250.3 66 3.860350 ; ( 6 3.860356 . In order to facilitate the computation , the tabular difference is inserted on page 16 in the column headed D. , and the pro ...
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 .
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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.