Tuesday, October 15, 2013

The value of apparent proportion in curvature

Now, the full proof of the influence of apparent proportion, I mustre serve for illustration by diagram; one or two instances however may be given at present for the better understanding of its nature. art oil paintings online
We have already asserted that all curves are more beautiful than right lines. All curves, however, are not equally beautiful, and their differences of beauty depend on the different proportions borne to each other by those infinitely small right lines of which they may be conceived as composed. oil paintings for sale
When these lines are equal and contain equal angles, there can be no connection or unity of sequence in them. The resulting curve, the circle, is therefore the least beautiful of all curves. art oil painting
When the lines bear to each other some certain proportion; or when, the lines remaining equal, the angles vary; or when by any means whatsoever, and in whatever complicated modes, such differences as shall imply connection are established between the infinitely small segments, the resulting curves become beautiful. The simplest of the beautiful curves are the conic, and the various spirals; but it is as rash as it is difficult to endeavor to trace any ground of superiority or inferiority among the infinite numbers of the higher curves. I believe that almost all are beautiful in their own nature, and that their comparative beauty depends on the constant quantities involved in their equations. Of this point I shall speak hereafter at greater length. oil paintings online

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