Nature's Harmonic Unity: A Treatise on Its Relation to Proportional FormG.P. Putnam's Sons, 1912 - 327 páginas |
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Nature's Harmonic Unity: A Treatise on Its Relation to Proportional Form Samuel Colman Vista de fragmentos - 1971 |
Términos y frases comunes
angle of 14 angle of 42 angle of 51 angle of 60 apex appendix notes architect architecture arcs beautiful Cathedral centre coincide correlations curves decimal value diagram diameter diatoms discloses distance divided division drawn in Plate editor Egyptian triangle equal equilateral triangle examination example extreme and mean façade Fibonacci series fourth progression geometric Greek ground plan harmonic height hexagon horizontal line ideal angle illustrated inscribed intersect laws logarithmic spiral lower pole mathematical mean proportion mean ratio measure moulding Nature Nature's octant octave outer Parthenon pass tangentally pentagon pentagram line perfect phyllotaxis points polar force portico primary circle prime circle prime radius principles produced proportional spaces Pythagoras Pythagorean triangle quadrant chords raking cornice rectangle of 42 regular polyhedron render result ruled secant second progression shell shown in Plate side sixth progression sound spiral statements tonic triangle of 60 unity vertical line vesica piscis vibration width
Pasajes populares
Página 3 - The heavens themselves, the planets, and this centre, Observe degree, priority, and place, Insisture, course, proportion, season, form, Office, and custom, in all line of order...
Página 6 - Rhythm. While there are many instances of Harmony, Balance, and Rhythm which are not particularly beautiful, there is, I believe, nothing really beautiful which is not orderly in one or the other, in two, or in all three of these modes. In seeking the Beautiful, therefore, we look for it in instances of Order, in instances of Harmony, Balance, and Rhythm. We shall find it in what may be called supreme instances.
Página 72 - We've possessed nothing." The eyes: "We've seen nothing." The legs: "We've been nowhere." And the Angel of Death had to contest every inch of the way, from the crown of the head to the soles of the feet.
Página 190 - Keeping the stretching weight or tension the same, 1 attach pieces of the string to the other forks, and determine in each case the length which swings as a whole. These lengths are in the ratio of 8, 4, 2, 1. 38. Hence the rapidity of vibration is inversely proportional to the length of the string. 39. Here the string, eight feet long, vibrates as a whole when attached to the fork a. I now transfer it to b, still keeping it stretched by the same weight. It vibrates when b vibrates ; but how ? By...
Página 2 - ... that in which each collaborates with the other, all engaged simultaneously upon and engrossed in one great whole, and all alike endowed with a scientific knowledge of the laws of Nature. Then the easel picture, which should be of secondary importance and not the first as we now make it, will take its proper place in our art history.
Página 266 - If from the examination of the general design we pass to the study of the details, every builder will be amazed at the innumerable precautions which have been taken in the construction, and at the manner in which the prudence of the practical mechanic has been united to the boldness of the artist full of resources and imagination.
Página 190 - beats" led Helmholtz to a new theory of harmony. Pythagoras had made the discovery that the simpler the ratio of the two lengths into which a string is divided, the more perfect is the harmony of the sounds produced by these two parts of the string.
Página 266 - This cathedral is very beautiful even in its present unfinished state, but it must be seen that everything is so well prepared in the substructure for the superstructure of the stone spires, that their absence is much to be regretted. As at present existing, there is in the construction and appearance of the towers a superabundant strength which is unjustifiable since they bear no weight...
Página 12 - Nature uses this as one of her most indispensable measuring rods, absolutely reliable, yet never without variety, producing perfect stability of purpose without the slightest risk of monotony.
Página 266 - Everywhere we find indications of a thoroughly understood method, of principles strictly observed, of a perfect knowledge of effect, a purity of style unequalled in modern art, an execution at once delicate and bold, without exaggeration and impressed with all the beauty that serious study and enthusiastic love can confer.