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origineel ID: ancl:cf4a3e2f7fe44666610e:p:3 · verwerkingsstatus: Verwerkt, inhoudelijk nog niet beoordeeld · teksthash: 64d48d87e8729b36a5988dddb263a82c767784cadd5925b280df2cb0f922762f · 1,052 tekens

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Arithmeticians and geometers arose, to whom especially Pythagoras first seems to have furnished principles. And from numbers that can continually progress ad infinitum by multiplication, and from figures, these derived their first principles, as capable of being discerned by reason alone; for a principle of geometry, as one may perceive, is an indivisible point. From that point, however, by means of the art, the generation of endless figures from the point is discovered. For the point being drawn into length becomes a line, after being thus continued, having a point for its extremity. And a line flowing out into breadth begets a surface, and the limits of the surface are lines; but a surface flowing out into breadth becomes body. And when what is solid has in this manner derived existence from, altogether, the smallest point, the nature of a huge body is constituted; and this is what Simon expresses thus: “The little will be great, being as a point, and the great illimitable.” Now this coincides with the geometrical doctrine of a point.

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