...perpendicular is three times that of the smaller, or in which the smaller perpendicular is half the hypotenuse. But two or four right-angled isosceles triangles,...tetrahedron, octahedron, icosahedron, and the cube." " This dissection of figures into right-angled triangles may be fairly referred to Pythagoras, and...

...greater perpendicular is three times that of the less, or in which the less is half the hypotenuse. But two or four right-angled isosceles triangles,...world, the tetrahedron, octahedron, icosahedron and the cube1." Of these solids, the tetrahedron, octahedron and cube must have been familiar to a traveller...

...perpendicular is three times that of the smaller, or in which the smaller perpendicular is half the hypotenuse. But two or four right-angled isosceles triangles,...correspond with the four elements of the real world, the tetra, hedron, octahedron, icosahedron, and the cube"4 (Timteta, 63, 64, 55). The construction of the...

...perpendicular is three times that of the smaller, or in which the smaller perpendicular is half the hypotenuse. But two or four right-angled isosceles triangles,...tetrahedron, octahedron, icosahedron, and the cube." 60 59-Hankel says it cannot be ascertained with precision how far the Pythagoreans had penetrated into...

...greater perpendicular is three times that of the less, or in which the less is half the hypotenuse. But two or four right-angled isosceles triangles,...world, the tetrahedron, octahedron, icosahedron and the cubei." Of these solids, the tetrahedron, octahedron and cube must have been familiar to a traveller...