Bowditch's Useful TablesE. & G. W. Blunt, 1844 - 174 pàgines |
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59 Proportional Logarithms 9 ΙΟ A.M. Hour P.M. angle G arithmetical complement calculated ciphers column of differences compared with Sherwin's Cotangent Diff Cotangent Secant decimal fraction degrees and minutes departure 167 Departure for 12 Diff Cosecant Difference of Latitude Dist Dep find the logarithm fourth figure fraction less given logarithm given number Height Distance hm hm hmh mh Hour A.M. Cosine Hour P.M. Hour Hour P.M. Log Hour P.M. Sine Hour P.M.Hour A.M. II.I III.I Latitude and Departure left-hand column less than unity logarithm corresponding Logarithms of Numbers Meridional MHour middle latitude Multiply N.by Natural Sines number corresponding number of degrees number of seconds number sought OI.I OI.O P.M.Hour A.M. Cosine places of figures prefix the index Prop quotient refraction Secant of 105 Sine of 24 sought logarithm Table XXVII Tangent top or bottom ΙΟΙ ΟΙΟΙ ΟΙΟΟ
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Pàgina 103 - Difference of Latitude and Departure for 32 Degrees. « Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. i 2 3 4 5 6 7 8 9 10 00.8 01.7 02.5 o3.4 O4.2 o5.1 o5.9 06.8 07.6 o8.5 OO.5 01.
Pàgina 222 - In the Second Method, Having stated the terms of the proportion according to the proper rule or theorem, resolve it like any other proportion, in which a fourth term is to be found from three given terms, by multiplying the second and third together, and dividing the product by the first, in working with the natural numbers ; or, in working with the logarithms, add the logs, of the second and third terms together, and from the sum take the log.
Pàgina 79 - TABLE II. Difference of Latitude and Departure for 6 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. i 2 3 4 5 6 7 8 9 10 01 .0 02.
Pàgina 222 - But if the power whose root is to be extracted is a decimal fraction less than unity, prefix to the index of its logarithm a figure less by one than the index of the power,* and divide the whole by the index of the power ; the quotient will be the logarithm of the root sought. EXAMPLE I.
Pàgina 125 - For turning Degrees and Minutes into Time, and the contrary. D. HM D. HM D. HM D. HM D. HM D. HM M. US M. И. S. U. U. 8. U. US U. US U. US 1 2 3 4 5 6 7 8 9...
Pàgina 222 - Hence, to extract any root of a number by means of logarithms : Rule. — Divide the logarithm of the number by the index of the root; the result will be the logarithm of the root.
Pàgina 222 - ... 2. From the whole depth of the rail subtract 1 inch, and to 12 times the square of the remainder add 6 times the remainder, and call this the first number. From this subtract twice the remainder, and add 1, and call this the second number. Then say, as the first number is to the second, so is the product obtained in the former part of the rule to the resistance of the lower web, not including the continuation of the middle rib. Lastly, the sum of these three resistances multiplied by 4, and divided...
Pàgina 102 - Dist. Lat. Dcp. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dcp. i 2 3 4 5 6 7 8 9 IO 00.9 01.7 02.6 o3.4 04.3 o5.1 06.0 06.9 07.7 08.6 OO.5 OI.O 01.5 02.1 O2.