Excerpt from Baron Von Vega's Logarithmic Tables of Numbers and Trigonometrical Functions: Translated From the Fortieth or Dr. Bremiker's Thoroughly Revised and Enlarged Edition

To facilitate the interpolation, small tables of proportional parts have been added in the first and third parts. The use of smaller type has enabled us to give them completely even in the first pages for every differ ence. These tables give accurately the tenths of the whole difference, so that the addition of the tenths, hundredths and thousandths gives the proportional part correct to the last figure, which is not the case with the usual. Arrangement. According to a very common arrangement the same small table of proportional parts has to be used for the whole extent of the table in its vicinity, without reference to the difference whether it be an unit more or less; but this has been rejected as inaccurate. In the third part want of space has prevented all the differences from being given; at the commencement, i. E. Beginning at those only could be inserted which differed by 10 units, then those differing by 5, by 3 etc., while finally, from each difference is set down. The advantages which these tables afford in interpolation, will be best appreciated by those, who have felt their want in all other tables.

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