Authors/Aristotle/metaphysics/l11/c4

Chapter 4

Latin	English
Quoniam autem et mathematicus utitur communibus proprie, et horum principia erit utique speculari primae philosophiae. Quod enim ab equalibus equalibus ablatis quae relinquun↵tur equalia, commune quidem est in omnibus quantis. Mathematica autem absumens circa aliquam partem convenientis ƿ materiae facit theoriam, puta circa lineas aut angulos aut numeros aut reliquorum aliquid quantorum, non in quantum autem entia sed in quantum continuum ipsorum unumquodque ad ↵ unum aut duo aut tria. Philosophia autem de hiis quae in parte quidem in quantum horum unicuique aliquid accidit non intendit, circa ens autem in quantum ens talium unumquodque speculatur.	Chapter 4. Since even the mathematician uses the common axioms only in a special application, it must be the business of first philosophy to examine the principles of mathematics also. That when equals are taken from equals the remainders are equal, is common to all quantities, but mathematics studies a part of its proper matter which it has detached, e.g. lines or angles or numbers or some other kind of quantity-not, however, qua being but in so far as each of them is continuous in one or two or three dimensions; but philosophy does not inquire about particular subjects in so far as each of them has some attribute or other, but speculates about being, in so far as each particular thing is.
Eodem autem habet modo et circa naturalem scientiam mathematice. Naturalis enim accidentia et principia speculatur ↵ entium in quantum mota et non in quantum entia. Primam autem scientiam diximus horum esse secundum quod entia subiecta sunt, sed non alterum aliquid. Propter quod et hanc et mathematicam scientiam partes sapientie esse ponendum.	-Physics is in the same position as mathematics; for physics studies the attributes and the principles of the things that are, qua moving and not qua being (whereas the primary science, we have said, deals with these, only in so far as the underlying subjects are existent, and not in virtue of any other character); and so both physics and mathematics must be classed as parts of Wisdom.