The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara — John Shaqi
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
learned in the second place._+ This was _Diuine Plato_ his Iudgement,
both of the purposed, chief, and perfect vse of _Geometrie_: and of his
second, dependyng, deriuatiue commodities. And for vs, Christen men,
a thousand thousand mo occasions are, to haue nede of the helpe of *
[I. D.
* Herein, I would gladly shake of, the earthly name,
of Geometrie.]
_Megethologicall_ Contemplations: wherby, to trayne our Imaginations and
Myndes, by litle and litle, to forsake and abandon, the grosse and
corruptible Obiectes, of our vtward senses: and to apprehend, by sure
doctrine demonstratiue, Things Mathematicall. And by them, readily to be
holpen and conducted to conceiue, discourse, and conclude of things
Intellectual, Spirituall, æternall, and such as concerne our Blisse
euerlasting: which, otherwise (without Speciall priuiledge of
Illumination, or Reuelation frõ heauen) No mortall mans wyt (naturally)
is hable to reach vnto, or to Compasse. And, veryly, by my small Talent
(from aboue) I am hable to proue and testifie, that the litterall Text,
and order of our diuine Law, Oracles, and Mysteries, require more skill
in Numbers, and Magnitudes: then (commonly) the expositors haue vttered:
but rather onely (at the most) so warned: & shewed their own want
therin. (To name any, is nedeles: and to note the places, is, here, no
place: But if I be duely asked, my answere is ready.) And without the
litterall, Grammaticall, Mathematicall or Naturall verities of such
places, by good and certaine Arte, perceiued, no Spirituall sense
(propre to those places, by Absolute _Theologie_) will thereon depend.
[☞]
“No man, therfore, can doute, but toward the atteyning of knowledge
incomparable, and Heauenly Wisedome: Mathematicall Speculations, both of
Numbers and Magnitudes: are meanes, aydes, and guides: ready, certaine,
and necessary.” From henceforth, in this my Preface, will I frame my
talke, to _Plato_ his fugitiue Scholers: or, rather, to such, who well
can, (and also wil,) vse their vtward senses, to the glory of God, the
benefite of their Countrey, and their owne secret contentation, or
honest preferment, on this earthly Scaffold. To them, I will orderly
recite, describe & declare a great Number of Artes, from our two
Mathematicall fountaines, deriued into the fieldes of _Nature_. Wherby,
such Sedes, and Rotes, as lye depe hyd in the groũd of _Nature_, are
refreshed, quickened, and prouoked to grow, shote vp, floure, and giue
frute, infinite, and incredible. And these Artes, shalbe such, as vpon
Magnitudes properties do depende, more, then vpon Number. And by good
reason we may call them Artes, and Artes Mathematicall Deriuatiue: for
(at this tyme) I Define
[An Arte.]
+An Arte, to be a Methodicall cõplete Doctrine, hauing abundancy of
sufficient, and peculier matter to deale with, by the allowance of the
Metaphisicall Philosopher: the knowledge whereof, to humaine state is
necessarye.+ And that I account,
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