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
+‡Hydragogie‡, demonstrateth the possible leading of Water, by Natures
lawe, and by artificiall helpe, from any head (being a Spring, standing,
or running Water) to any other place assigned.+ Long, hath this Arte
bene in vse: and much thereof written: and very marueilous workes
therein, performed: as may yet appeare, in Italy: by the Ruynes
remaining of the Aqueductes. In other places, of Riuers leading through
the Maine land, Nauigable many a Mile. And in other places, of the
marueilous forcinges of Water to Ascend. which all, declare the great
skill, to be required of him, who should in this Arte be perfecte, for
all occasions of waters possible leading. To speake of the allowance of
the Fall, for euery hundred foote: or of the Ventills (if the waters
labour be farre, and great) I neede not: Seing, at hand (about vs) many
expert men can sufficiently testifie, in effecte, the order: though the
Demonstration of the Necessitie thereof, they know not: Nor yet, if they
should be led, vp and downe, and about Mountaines, from the head of the
Spring: and then, a place being assigned: and of them, to be demaunded,
how low or high, that last place is, in respecte of the head, from which
(so crokedly, and vp and downe) they be come: Perhaps, they would not,
or could not, very redily, or nerely assoyle that question. _Geometrie_
therefore, is necessary to _Hydragogie_. Of the sundry wayes to force
water to ascend, eyther by _Tympane_, _Kettell mills_, _Skrue_,
_Ctesibike_, or such like: in _Vitruuius_, _Agricola_, (and other,)
fully, the maner may appeare. And so, thereby, also be most euident, how
the Artes, of _Pneumatithmie_, _Helicosophie_, _Statike_, _Trochilike_,
and _Menadrie_, come to the furniture of this, in Speculation, and to
the Commoditie of the Common Wealth, in practise.
+‡Horometrie‡, is an Arte Mathematicall, which demõstrateth, how, at all
times appointed, the precise vsuall denominatiõ of time, may be knowen,
for any place assigned.+ These wordes, are smoth and plaine easie
Englishe, but the reach of their meaning, is farther, then you woulde
lightly imagine. Some part of this Arte, was called in olde time,
_Gnomonice_: and of late, _Horologiographia_: and in Englishe, may be
termed, _Dialling_. Auncient is the vse, and more auncient, is the
Inuention. The vse, doth well appeare to haue bene (at the least) aboue
two thousand and three hundred yeare agoe:
[4. Reg. 20.]
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