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Your B-minor sonata, however unsatisfactory its actual quality, remains one of the magistral works of the sort. For few works better exhibit the various ranges of the instrument, better contrast different volumes of piano-sound. The sonata actually lies on different planes, proceeds from various directions, delimits a solid form, makes even Beethoven's seem flat and two-dimensional by contrast.
Our ordinary three-dimensional sight enables us to see at once every point of the interior of a two-dimensional figure, such as a square, but in order to do that the square must be within a reasonable distance from our eyes; the mere additional dimension will avail a man in London but little in his endeavour to examine a square in Calcutta.
Now could it be shown that the two-dimensional symmetry observed in nature is the result of a three-dimensional movement, the right-and left-handed symmetry of solids would by analogy be the result of a four-dimensional movement.
The cry of the runners scatters the crowd, and even the panniered donkeys and perpetually astonished camels somehow contrive to become two-dimensional while the white procession goes by.
For the optical processes which occur on the surface of a mirror are such that, whilst taking place on a two-dimensional plane, they evoke in our consciousness pictures of exactly the same nature as if we were looking through the mirror into the space behind it.
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