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
+‡Menadrie‡, is an Arte Mathematicall, which demonstrateth, how, aboue
Natures vertue and power simple: Vertue and force may be multiplied: and
so, to direct, to lift, to pull to, and to put or cast fro, any
multiplied or simple, determined Vertue, Waight or Force: naturally,
not, so, directible or moueable.+ Very much is this Art furdred by other
Artes: as, in some pointes, by _Perspectiue_: in some, by _Statike_: in
some, by _Trochilike_: and in other, by _Helicosophie_: and
_Pneumatithmie_. By this Art, all Cranes, Gybbettes, & Ingines to lift
vp, or to force any thing, any maner way, are ordred: and the certaine
cause of their force, is knowne: As, the force which one man hath with
the Duche waghen Racke: therwith, to set vp agayne, a mighty waghen
laden, being ouerthrowne. The force of the Crossebow Racke, is
certainly, here, demonstrated. The reason, why one mã, doth with a
leauer, lift that, which Sixe men, with their handes onely, could not,
so easily do. By this Arte, in our common Cranes in London, where powre
is to Crane vp, the waight of 2000. pound: by two Wheles more (by good
order added) Arte concludeth, that there may be Craned vp 200000. pound
waight &c. So well knew _Archimedes_ this Arte: that he alone, with his
deuises and engynes, (twise or thrise) spoyled and discomfited the whole
Army and Hoste of the Romaines, besieging _Syracusa_,
[=Plutarchus in Marco Marcello.=]
_Marcus Marcellus the Consul_, being their Generall Capitaine.
[=Synesius in Epistolis.=]
Such huge Stones, so many, with such force, and so farre, did he with
his engynes hayle among them, out of the Citie.
[=Polybius.=]
[=Plinius.=]
[=Quintilianus.=]
[=T. Liuius.=]
And by Sea likewise: though their Ships might come to the walls of
_Syracusa_, yet hee vtterly confounded the Romaine Nauye. What with his
mighty Stones hurlyng:
[=* Athenæus.=]
what with Pikes of * 18 fote long, made like shaftes: which he forced
almost a quarter of a myle. What, with his catchyng hold of their Shyps,
and hoysing them vp aboue the water, and suddenly letting them fall into
the Sea againe:
[= * Galenus.=]
[=Anthemius.=]
what with his * Burning Glasses: by which he fired their other Shippes a
far-of: what, with his other pollicies, deuises, and engines, he so
manfully acquit him selfe: that all the Force, courage, and pollicie of
the Romaines (for a great season) could nothing preuaile, for the
winning of Syracusa. Wherupon, the Romanes named _Archimedes_,
_Briareus_, and _Centimanus_. _Zonaras_ maketh mention of one _Proclus_,
who so well had perceiued _Archimedes_ Arte of _Menadrie_, and had so
well inuented of his owne, that with his Burning Glasses,
[Burning Glasses.]
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