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
Architectura, hæc duo insunt: quod significatur, & quod significat.
Significatur proposita res, de qua dicitur: hanc autem Significat
Demonstratio, rationibus doctrinarum explicata. +Forasmuch as, in all
thinges: therefore chiefly in Architecture, these two thinges are: the
thing signified: and that which signifieth. The thing propounded,
whereof we speake, is the thing Signified. But Demonstration, expressed
with the reasons of diuerse doctrines, doth signifie the same thing.+_
After that. _Vt literatus sit, peritus Graphidos, eruditus Geometriæ, &
Optices non ignarus: instructus Arithmetica: historias complures
nouerit, Philosophos diligenter audiuerit: Musicam sciuerit: Medicinæ
non sit ignarus, responsa Iurisperitorũ nouerit: Astrologiam, Cæli[que]
rationes cognitas habeat. +An Architect+_ (sayth he) +_ought to
vnderstand Languages, to be skilfull of Painting, well instructed in
Geometrie, not ignorant of Perspectiue, furnished with Arithmetike, haue
knowledge of many histories, and diligently haue heard Philosophers,
haue skill of Musike, not ignorant of Physike, know the aunsweres of
Lawyers, and haue Astronomie, and the courses Cælestiall, in good
knowledge._+ He geueth reason, orderly, wherefore all these Artes,
Doctrines, and Instructions, are requisite in an excellent _Architect_.
And (for breuitie) omitting the Latin text, thus he hath. +_Secondly, it
is behofefull for an Architect to haue the knowledge of Painting: that
he may the more easilie fashion out, in patternes painted, the forme of
what worke he liketh. And Geometrie, geueth to Architecture many helpes:
and first teacheth the Vse of the Rule, and the Cumpasse: wherby
(chiefly and easilie) the descriptions of Buildinges, are despatched in
Groundplats: and the directions of Squires, Leuells, and Lines.
Likewise, by Perspectiue, the Lightes of the heauen, are well led, in
the buildinges: from certaine quarters of the world. By Arithmetike, the
charges of Buildinges are summed together: the measures are expressed,
and the hard questions of Symmetries, are by Geometricall Meanes and
Methods discoursed on. &c. Besides this, of the Nature of thinges (which
in Greke is called φυσιολογία) Philosophie doth make declaration. Which,
it is necessary, for an Architect, with diligence to haue learned:
because it hath many and diuers naturall questions: as specially, in
Aqueductes. For in their courses, leadinges about, in the leuell ground,
and in the mountinges, the naturall Spirites or breathes are ingendred
diuers wayes: The hindrances, which they cause, no man can helpe, but
he, which out of Philosophie, hath learned the originall causes of
thinges. Likewise, who soeuer shall read Ctesibius, or Archimedes
bookes, (and of others, who haue written such Rules) can not thinke, as
they do: vnlesse he shall haue receaued of Philosophers, instructions in
these thinges. And Musike he must nedes know: that he may haue
vnderstanding, both of Regular and Mathematicall Musike: that he may
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