THE GEOMETRICAL FOOT.

In several different places I have discussed the existence and length of

what the mathematicians of the sixteenth century _used_, and those of

the seventeenth _talked about_, under the name of the _geometrical

foot_, of four palms and sixteen digits. (See the _Philosophical

Magazine_ from December 1841 to May 1842; the _Penny Cyclopædia_,

"Weights and Measures," pp. 197, 198; and _Arthmetical Books_, &c, pp.

5-9.) Various works give a figured length of this foot, whole, or in

halves, according as the page will permit; usually making it (before the

shrinking of the paper is allowed for) a very little less than 9-3/4

inches English. The works in which I have as yet found it are Reisch,

_Margarita Philosophica_, 1508; Stöffler's _Elucidatio Astrolabii_,

1524; Fernel's _Monolosphærium_, 1526; Köbel, _Astrolabii Declaratio_,

1552; Ramus, _Geometricæ_, 1621. Query. In what other works of the

sixteenth, or early in the seventeenth century is this foot of palms and

digits to be found, figured in length? What are their titles? What the

several lengths of the foot, half foot, or palm, within the twentieth of

an inch? Are the divisions into palms or digits given; and, if so, are

they accurate subdivisions? Of the six names above mentioned, the three

who are by far the best known are Stöffler, Fernel, and Ramus; and it so

happens that their subdivisions are _much_ more correct than those of

the other three, and their whole lengths more accordant.

Notes and Queries, Number 39, July 27, 1850 · 第 24 / 109 题