Page:The Construction of the Wonderful Canon of Logarithms.djvu/59

CONSTRUCTION OF THE CANON. 35

and the others, up to	69th column
	Natural numbers	Logarithms.
	5048858.8900	6834225.8
	5046334.4605	6839227.1
	5043811.2932	6844228.3
	5041289.3879	6849229.6
	5038768.7435	6854230.8
	up to	up to
	4998609.4034	6934250.8

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For shortness, however, two things should be borne in mind:—First, that in these logarithms it is enough to leave one figure after the point, the remaining six being now rejected, which, however, if you had neglected at the beginning, the error arising thence by frequent multiplications in the previous tables would have grown intolerable in the third. Secondly, If the second figure after the point exceed the number four, the first figure after the point, which alone is retained, is to be increased by unity: thus for 10002.48 it is more correct to put 10002.5 than 10002.4; and for 1000.35001 we more fitly put 1000.4 than 1000.3. Now, therefore, continue the Radical table in the manner which has been set forth.

48.The Radical table being now completed, we take the numbers wee the logarithmic table from it alone.

For as the first two tables were of service in the formation of the third, this third Radical

table