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I. IF a Positive Quantity be multiplied by a Positive one, the Product will be also Positive; since to multiply is to repeat the Quantity according as the Multiplier directs: Where∣fore to multiply by a Positive Quantity, is to repeat the Quan∣tities positively; as on the other side, to multiply by
a Privative, is so many times to repeat the Privation of that Thing: Which we shall shew further hereafter.
II. Equal Quantities (a and a) multiplied by the same (b), or contrariwise, will give equal Products (ab and ab or ba).
III. The same Quantity (z) multiplied by the whole Quan∣tity (a+b+c) or by(a) 1.1 all its parts separately, will give equal Products. Also
IV. The whole (a+b) whether it be mul∣tiplied by(b) 1.2 it self, or by its parts separately, will give equal Products.
Eucl. lib. 2. prop. 1.
lib. 2. prop. 2.