Theoretic Arithmetic, in Three Books; Containing the Substance of All That Has Been Written on This Subject by Theo of Smyrna, Nicomachus, Iamblichus, ... Perfect, Amicable, and Other Numbers,

 
9780217806534: Theoretic Arithmetic, in Three Books; Containing the Substance of All That Has Been Written on This Subject by Theo of Smyrna, Nicomachus, Iamblichus, ... Perfect, Amicable, and Other Numbers,
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This historic book may have numerous typos, missing text or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1816. Not illustrated. Excerpt: ... CHAPTER IV. On the duad. TtfE duad was called by the Pythagoreans, as we learn from? Nicomachus, " audacity, matter, the cause of dissimilitude, and the interval between multitude and the monad. This alone produces equality from composition and mixture, on which account also it is equal. But it is likewise unequal, defect, and abundance, and is alone unfigured, indefinite, and infinite- It is also alone the principle and cause of the even; yet is neither evenly-even, nor unevenly-even, nor evenly-odd* But many of these things are proximate to the physical peculiarity of the duad* It is likewise the fountain of all symphony, and among the Muses is Erato. It is also harmony, patience, and a root, though not in a certain respect in energy. It is power too, the feet of Ida abounding with fountains, a summit and Phases. It is also Justice, and Isis, Nature and Rhea, the mother of Jupiter, and the fountain of distribution. It was likewise called by them Phrygia, Lydia, Dindymene, Ceres, and Eleu* sinia, Diana and Cupid, Dictynua, Aeria, Asteria, Disamos, and Esto. Also Venus, Dione, Mychaea, Cytherei, ignorance^ ignobility, falsehood, difference, indistihction, strife, dissension, Fate and Death." Prior, however, to a developerftent of these appellations, it will be requisite to observe concerning the duad, that the Pythagoreans, before they evinced that multitude subsists iu intelligibles, necessarily investigated the cause of the multitude which is there, and found that among the genera of being it is difference) which subsists according to non-being; but that in causes most eminently the first, it is the indefinite duad, which, -r-v- 1 says Syrianus, Pythagoras m the Sacred Discourse calls Chaos, and which he associates with intellect; for he assigns this appellati...

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