Analytic Geometry

Ancient Greek mathematicians were among the earliest to make a distinction between pure and applied mathematics. For, a constructive proof is exactly that: an algorithmic procedure for obtaining a conclusion from a set of hypotheses. Hence, in the two triangles ATT', BTT' the sides AT, AT' are respectively equal to the sides BT, BT', and TT' is common. /. It often was not realized that, say, three drachma were the same as three sheep were the same as three logs of oil.

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