To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denominationabovethesecond isimpossible, and Ihave assuredly found anadmirable proof of this, but the margin is too narrow to contain it.
Architecture is an art which is basically geometrical. The cube is the basis of architecture because the right angle is necessarythe steps of a staircase consist of vertical and horizontal planes and the corners of rooms are nearly always right angles.We need right angles. 542
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