14 CONSTRUCTION OF THE CANON.
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contains, besides radius which is the first, fifty other proportional numbers, the last of which, if you have not erred, you will find to be 9995001.222927.
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[This should be 9995001.224804—see note.]
18.The Third table consists of sixty-nine columns, and in each column are placed twenty-one numbers, proceeding in the proportion which ts easiest, and as near as possible to that subsisting between the first and last numbers of the Second table.
18.Whence its first column is very easily obtained from radius with five cyphers added, by subtracting tts 2000th part, and so from the other numbers as they arise.
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In forming this progression, as the proportion between 10000000.000000, the first of the Second table, and 9995001.222927, the last of the same, is troublesome; therefore compute the twenty-one numbers in the easy proportion of 10000 to 9995, which is sufficiently near to it; the last of these, if you have not erred, will be 9900473.57808. From these numbers, when computed, the last figure of each may be rejected without sensible error, so that others may hereafter be more easily computed from them.
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19.The first numbers of all the columns must proceed from
radius
