Salmon, in his “Horæ Mathematicæ,” before-mentioned, gives a long dissertation (from p. 403 to p. 414) on the old Ptolemaic aspects, illustrative of their foundation in nature and in mathematics; and, although his conclusions are not quite satisfactorily drawn, some of his arguments would seem appropriate, if he had but handled them more fully and expertly; particularly where he says that the aspects are derived “from the aliquot parts of a circle, wherein observe that, although the zodiac may have many more aliquot parts than these four (the sextile, quartile, trine, and opposition), yet those other aliquot parts of the circle, or 360 degrees, will not make an aliquot division of the signs also, which in this design was sought to answer, as well in the number 12, as in the number 360.” The passage in which he endeavours to show that they are authorized by their projection, also deserves attention.
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