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Page 99 - 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.
Page 208 - 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.
Page 81 - 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.
Page 208 - 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.
Page 121 - 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...
Page 208 - 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.
Page 208 - ... 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...