Dynamic Symmetry: The Greek Vase

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Yale University Press, 1920 - 161 Seiten
 

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Seite 152 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Seite 152 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Seite 155 - A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?
Seite 9 - Its recovery has given us dynamic symmetry — a method of establishing the relationship of areas in designcomposition. several parts which constitute a temple ought to be subject to the laws of symmetry; the principles of which should be familiar to all who profess the science of architecture. Symmetry results from proportion, which, in the Greek language, is termed analogy. Proportion is the commensuration of the various constituent parts with the whole, in the existence of which symmetry is found...
Seite 153 - Geometry has two great treasures, one is the Theorem of Pythagoras, the other the division of a line into extreme and mean ratio; the first we may compare to a measure of gold, the second we may name a precious jewel.
Seite 9 - Since, therefore, the human frame appears to have been formed with such propriety that the several members are commensurate with the whole, the artists of antiquity must be allowed to have followed the dictates of a judgment the most rational, when, transferring to the works of art, principles derived from nature, every part was so regulated as to bear a just proportion to the whole. Now, although these principles were universally acted upon, yet they were more particularly attended to in the construction...
Seite 143 - The hammer in my hand was of gold, as I struck the peg with it, and thou wast with the constellation of the Thigh — the old name of the constellation which we now recognize as the Great Bear, and on this line was built the new temple, "as had been done there before." The actual inscription has been translated as follows : — "The living God, the magnificent son of Asti [a name...
Seite 143 - ... nourished by the sublime goddess in the temple, the sovereign of the country, stretches the rope in joy. With his glance...
Seite 59 - ... is half the hypotenuse. But two or four right-angled isosceles triangles, properly put together, form the square : two or six of the most beautiful scalene right-angled triangles form the equilateral triangle, and out of these two figures arise the solids which correspond with the four elements of the real world, the tetrahedron, octahedron, icosahedron and the cube1.
Seite 143 - The Kolchyt read the sacred text during the stretching of the measuring-cord and the laying of the foundation stone on the piece of ground selected for this temple. Then withdrew His .Majesty Amenemha ; and King Usertesen [son and co-regent] wrote it down before the people.

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