We therefore find that the triangles and rectangles herein described, enclose a large majority of the temples and cathedrals of the Greek and Gothic masters, for we have seen that the rectangle of the Egyptian triangle is a perfect generative medium, its ratio of five in width to eight in length 'encouraging impressions of contrast between horizontal and vertical lines' or spaces; and the same practically may be said of the Pythagorean triangle . Samuel Colman
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Pythagoras is credited with the discovery of the theorem that the sum of the squares on the sides of a right triangle is equal to the square of the hypotenuse. A triangle, then, with sides that are in the ratio of 2:3:5, which is what we have here, can be described with many mathematical terms. These may include areas, lengths, and angles. The numbers mentioned above are called these things because they are all geometrical concepts.

Source: Harmonic Proportion And Form In Nature, Art And Architecture

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