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
to our * Spirituall part appropriate. As in _Ptolomaus_ third boke, in
the fourth and sixth Chapters may appeare. *
[6.]
And what is the cause of the apt bonde, and frendly felowship, of the
Intellectuall and Mentall part of vs, with our grosse & corruptible
body: but a certaine Meane, and _Harmonious Spiritualitie, with both
participatyng, & of both (in a maner) resultynge In
[7.]
the * Tune of Mans voyce, and also
[8.]
* the sound of Instrument_, what might be sayd, of _Harmonie_: No common
Musicien would lightly beleue.
[I. D.
Read in Aristotle his 8. booke of Politikes: the 5, 6, and 7.
chapters. Where you shall haue some occasion farder to thinke
of Musike, than commonly is thought.]
But of the sundry Mixture (as I may terme it) and concurse, diuerse
collation, and Application of these _Harmonies_: as of thre, foure,
fiue, or mo: Maruailous haue the effectes ben: and yet may be founde,
and produced the like: with some proportionall consideration for our
time, and being: in respect of the State, of the thinges then: in which,
and by which, the wondrous effectes were wrought. _Democritus_ and
_Theophrastus_ affirmed, that, by _Musike_, griefes and diseases of the
Minde, and body might be cured, or inferred. And we finde in Recorde,
that _Terpander_, _Arion_, _Ismenias_, _Orpheus_, _Amphion_, _Dauid_,
_Pythagoras_, _Empedocles_, _Asclepiades_ and _Timotheus_, by
_Harmonicall_ Consonãcy, haue done, and brought to pas, thinges, more
then meruailous, to here of. Of them then, making no farder discourse,
in this place: Sure I am, that Common _Musike_, commonly vsed, is found
to the _Musiciens_ and Hearers, to be so Commodious and pleasant, That
if I would say and dispute, but thus much: That it were to be otherwise
vsed, then it is, I should finde more repreeuers, then I could finde
priuy, or skilfull of my meaning. In thinges therfore euident, and
better knowen, then I can expresse: and so allowed and liked of, (as I
would wish, some other thinges, had the like hap) I will spare to
enlarge my lines any farder, but consequently follow my purpose.
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