Note 40 — THE LIFE, &c. (continued 2)

Iamblichus here alludes to a right-angled triangle, and the Pythagoric theorem of 47. 1 of Euclid. For the square described on the longest side is equal to the two squares described on the two other sides. The longest side therefore is said by geometricians to be equal in power to the powers of the other sides. This however Kiessling not understanding, says, “that power is the space contained between the concurring lines of figures, and is the area of the triangle.” “Δυναμις idem est, quod εμβαδον, spatium, quod infra concurrentes lineas figurarum continetur, area trigoni.” But Kiessling, though a good verbalist, is a bad geometrician, and no philosopher.