A Description of The Admirable Table of Logarithms - Chap. 1

	And keeping the same order continually (according to the former definition) the number of AG shall be the Logarithme of the sine gz. AH the Logarithme of the sine hz. AI the Logarithme of the sine iz. AK the Logarithme of the sine kz, and so forth infinitely,
A consequent	Therefore the Logarithme of the whole sine 1000000 is nothing, or 0; and consequently the Logarithms of numbers greater then the whole sine, ar lesse then nothing.
	For seeing it is manifest by the definition, that the sines decreasing from the whole sine, the Logarithmes increase from nothing: therfore contrariwise the numbers which yet we call Sines, increasing vnto the whole sine, that is to 10000000, the Logarithmes must needs decrease to 0 or nothing: and by consequent the Logarithmes of numbers increasing aboue the whole sine 10000000, which we call Secants, or Tangents, and no more sines, shall be lesse then nothing. Therefore we call the Logarithmes of the sines Abounding, because they are always greater then nothing, and set this marke + before them, or else none. But the Logarithmes which are lesse then nothing, we cal Defectiue, or wanting, setting this marke - before them. It was indeed left at libertie in the beginning, to attribute nothing, or 0. to any sine or quantitie for his Logarithme: but it was best to fit it to the whole sine, that the Addition or Substraction of that Logarithme which is most frequent in all Calculations, might neuer after be any troubel to vs.

A Description of the Admirable Table of Logarithms (Page 6)