Galilei, Galileo
,
The systems of the world
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1661
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ſpread amongſt the vulgar; and this with a diſcretion and ſubtlety
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reſembling that of the prudent young man, that to be freed
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from the importunity of his inquiſitive Mother or Wife, I know
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not whether, who preſſed him to impart the ſecrets of the Senate,
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contrived that ſtory, which afterwards brought her and many
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ther women to be derided and laught at by the ſame Senate.</
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Plato
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held that
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humane
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ſtanding partook
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of divinity, becauſe
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it understood
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bers.
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The Myſtery of
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Pythagorick
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bers fabulous.
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De Papyrio
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textato,
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Gellius
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2. 3.</
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<
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>SIMPL. </
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>I will not be of the number of thoſe who are over
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ous about the
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Pythagorick
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myſteries; but adhering to the point
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in hand; I reply, that the reaſons produced by
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Ariſtotle
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to prove
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the dimenſions to be no more than three, ſeem to me
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dent, and I believe, That had there been any more evident
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ſtrations thereof,
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Ariſtotle
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would not have omitted them.</
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<
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>SAGR. </
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<
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>Put in at leaſt, if he had known, or remembred any more.
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>But you
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Salviatus
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would do me a great pleaſure to alledge unto
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me ſome arguments that may be evident, and clear enough for me
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to comprehend.</
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>SALV. </
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>I will; and they ſhall be ſuch as are not onely to be
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prehended by you, but even by
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Simplicius
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himſelf: nor onely
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to be comprehended, but are alſo already known, although
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ly unobſerved; and for the more eaſie underſtanding thereof,
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we will take this Pen and Ink, which I ſee already prepared for
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ſuch occaſions, and deſcribe a few figures. </
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>And firſt we will note
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[Fig. </
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at the end of this Dialog.
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] theſe two points AB, and draw
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from the one to the other the curved lines, ACB, and ADB, and the
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right line A B, I demand of you which of them, in your mind, is
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that which determines the diſtance between the terms AB, & why?</
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A Geometrical
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monſtration of the
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triple dimenſion.
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AGR. </
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>I ſhould ſay the right line, and not the crooked, as well
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becauſe the right is ſhorter, as becauſe it is one, ſole, and
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minate, whereas the others are infinit, unequal, and longer; and my
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determination is grounded upon that, That it is one, and certain.</
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<
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>SALV. </
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>We have then the right line to determine the length
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tween the two terms; let us add another right line and parallel to
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AB, which let be CD, [
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Fig.
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2.] ſo that there is put between them a
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ſuperficies, of which I deſire you to aſſign me the breadth, therefore
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departing from the point A, tell me how, and which way you will
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go, to end in the line C D, and ſo to point me out the breadth
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prehended between thoſe lines; let me know whether you will
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terminate it according to the quantity of the curved line A E, or
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the right line A F, or any other.</
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<
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>SIMPL. </
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>According to the right A F, and not according to the
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crooked, that being already excluded from ſuch an uſe.</
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<
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>But I would take neither of them, ſeeing the right line
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A F runs obliquely; But would draw a line, perpendicular to C
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D, for this ſhould ſeem to me the ſhorteſt, and the propereſt of
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infinite that are greater, and unequal to one another, which may be </
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