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The side of an Icosahedron inscribed in a pyramis, is a residuall line. For the diameter of the Sphere which containeth the fiue regular bodies, being rationall, is in power ses∣quialtera to the side of the pyramis, by the 13. of the thirtenth: and therefore the side of the pyramis is rationall, by the definition: which side being diuided by an extreme and meane proportion, maketh
the lesse segment a residuall line, by the 6. of the thirtenth. Wherefore the side of the Icosahedron be∣ing commensurable to the same lesse segment (for the square of the side of the Icosahedron is the halfe of the square of the said lesse segment) is a residuall line, by that which was added after the 103. of the tenth booke.