On the History of Gunter's Scale and the Slide Rule during the Seventeenth Century - The Original Classic Edition

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In his Epistle (page (25)), he says he had not "the one halfe of my intentions upon it" (the rule in his book), nor one with a "moveable circle and a thread, but with an opening Index at the centre (if so be that bee cause enough to make it to bee not the same, but another Instrument) for my part I disclaime it: it may go seeke another Master: which for ought I know, will prove to be Elias Allen himselfe: for at his request only I altered a little my rules from the use of the moveable circle and the thread, to the two armes of an Index." ...Next he points out "severall wayes how the Circles of the Mathematicall Ring (being inlarged) may be accommodated for practicall use:" (1) The Circles are all fixed in a plain and movable flat compasses (or better, a movable semicircle) are used for fixing any two positions; (2) There is a "double projection" of each logarithmic line "inlarged on a Plaine," one fixed, the other movable, as shown in his first figure on the title-page, a single index only being used; (3) use of "my great Cylinder which I have long proposed (in which all the Circles are of equall greatnesse,) and it may be made of any magnitude or capacity, but for a study (hee that will be at the charge) it may be of a yard diameter and of such an indifferent length that it may containe 100 or more Circles fixed parallel one to the other on the Cylinder, having a space betweene each of them, so that there may bee as many mooveable Circles, as there are fixed ones, and these of the mooveable linked, or fastened together, so that they may all moove together by the fixed ones in these spaces, whose edges both of the fixed, and mooveable being graduated by helpe of a single Index will shew the proportionalls by opposition in this double Projection, or by a double Index in a single Projection" (p.

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