The Mathematicall Praeface to Elements of Geometrie of Euclid of MegaraDee, John
Philosophy
The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara
Dee, John
Geometry -- Early works to 1800; Mathematics -- Early works to 1800; Philosophy -- Early works to 1800
In the entended purpose, also, allowing somwhat to the imperfection of
Nature: not aunswerable to the precisenes of demonstration. Moreouer, by
the foresaid propositions (wisely vsed.) The Ayre, the water, the Earth,
the Fire, may be nerely, knowen, how light or heauy they are (Naturally)
in their assigned partes: or in the whole. And then, to thinges
Elementall, turning your practise: you may deale for the proportion of
the Elementes, in the thinges Compounded. Then, to the proportions of
the Humours in Man: their waightes: and the waight of his bones, and
flesh. &c. Than, by waight, to haue consideration of the Force of man,
any maner of way: in whole or in part. Then, may you, of Ships water
drawing, diuersly, in the Sea and in fresh water, haue pleasant
consideration: and of waying vp of any thing, sonken in Sea or in fresh
water &c. And (to lift vp your head a loft:) by waight, you may, as
precisely, as by any instrument els, measure the Diameters of _Sonne_
and _Mone. &c._ Frende, I pray you, way these thinges, with the iust
Balance of Reason. And you will finde Meruailes vpon Meruailes: And
esteme one Drop of Truth (yea in Naturall Philosophie) more worth, then
whole Libraries of Opinions, vndemonstrated: or not aunswering to
Natures Law, and your experience. Leauing these thinges, thus: I will
giue you two or three, light practises, to great purpose: and so finish
my Annotation _Staticall_. In Mathematicall matters, by the Mechaniciens
ayde, we will behold, here, the Commodity of waight.
[The practise Staticall, to know the proportion, betwene
the Cube, and the Sphære.]
Make a Cube, of any one Vniforme: and through like heauy stuffe: of the
same Stuffe, make a Sphære or Globe, precisely, of a Diameter æquall to
the Radicall side of the Cube. Your stuffe, may be wood, Copper, Tinne,
Lead, Siluer. &c. (being, as I sayd, of like nature, condition, and like
waight throughout.) And you may, by Say Balance, haue prepared a great
number of the smallest waightes: which, by those Balance can be
discerned or tryed: and so, haue proceded to make you a perfect Pyle,
company & Number of waightes: to the waight of six, eight, or twelue
pound waight: most diligently tryed, all. And of euery one, the Content
knowen, in your least waight, that is wayable. [They that can not haue
these waightes of precisenes: may, by Sand, Vniforme, and well dusted,
make them a number of waightes, somewhat nere precisenes: by halfing
euer the Sand: they shall, at length, come to a least common waight.
Therein, I leaue the farder matter, to their discretion, whom nede shall
pinche.] The _Venetians_ consideration of waight, may seme precise
enough: by eight descentes progressionall, * halfing, from a grayne.
[I. D.
* For, so, haue you .256. partes of a Graine.]
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