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1.-Required the number 2.-Required 9 Diff 9 Diſ ACAD blank space Callet CHARLES BABBAGE colours column of arcs decimal point Diff 40 earth in mean employed English feet find the logarithm fºlnum four first figures four last figures French metre French toise given arc given logarithm given number INum LIEUTENANT-COLONEL COLBY loga logarithm of 31274 logarithm was found logarithms of Taylor mean sol minutes multiplied nearest number number corresponding number occur number of degrees number of figures number of seconds number whose logarithm ºff ºlº prefixed present tables printed printer PROBLEM remainder is less rithm seventh figure small table ſº sº ºw sºlº stereotype table of logarithms third figure three first figures units and decimal Vega's logarithms vertical column whº whole numbers Zºº
Page xvii - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page xviii - To extract any root of a number, merely divide the logarithm of this number by the index of the root; the quotient is the logarithm of the root.
Page xiii - From this will be understood the rule given in books, of tables, for finding the characteristic or index of the logarithm of a decimal fraction, viz. The index of any decimal fraction is a negative number, equal to unity, added to the number of zeros immediately following the decimal point. Thus, in searching for a logarithm of the number such as .00462. we find in the tables opposite to 462 the number 6646420 ; but since .00462 is a number between .001 and .0001.
Page xvii - Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised ; and the product will be the logarithm of the required power (Art.
Page xi - Coloured paper is more favourable to distinctness than white. I had a page set up, and printed on paper of various colours and shades ; almost all those whom I consulted agreed with me in giving the preference to the coloured papers; but the particular tint was not so unanimously fixed upon. Yellow appeared to have the preference, and it is that I have chosen for the first impression. (The edition of 1834 is printed on green paper.) The tint at first is consideraly too deep, but it fades on exposure...
Page vii - Figuren of the same or nearly the same height, are preferable to those in which some of the digits rise above and others fall below the line, because they interfere less with the space between the lines.
Page vii - I enjoyed every facility for making the comparisons which were requisite for this purpose, as well as for making extracts necessary to me for other calculations.
Page viii - Those figures which are first sought on entering a table, oughtto be so distinguished, either by position or by magnitude, as to strike the eye readily.