Galilei, Galileo
,
The systems of the world
,
1661
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ſwer, that of infinite one part is not greater than another, ſince
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both are infinite; nor can it be ſaid, that of the infinite number,
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an hundred thouſand is a greater part than two, though that be
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fifty thouſand times greater than this; and if to the moving of
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the Univerſe there be required a finite power, though very great
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in compariſon of that which ſufficeth to move the Earth onely;
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yet is there not implied therein a greater part of the infinite power,
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nor is that part leſſe infinite which remaineth unimploy'd. </
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<
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>So that
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to apply unto a particular effect, a little more, or a little leſſe
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power, importeth nothing; beſides that the operation of ſuch
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vertue, hath not for its bound or end the Diurnal Motion onely;
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but there are ſeveral other motions in the World, which we
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know of, and many others there may be, that are to us unknown.
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</
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<
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>Therefore if we reſpect the Moveables, and granting it as out of
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queſtion, that it is a ſhorter and eaſier way to move the Earth,
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than the Univerſe; and moreover, having an eye to the ſo many
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other abreviations, and facilities that onely this way are to be
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tained, an infallible Maxime of
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Ariſtotle,
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which he teacheth us,
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that,
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fruſtra fit per plura, quod poteſt fieri per pauciora,
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dereth it more probable that the Diurnal Motion belongs to the
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Earth alone, than to the Univerſe, the Earth ſubducted.</
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Of infinity one
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part is no bigger
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than auother,
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though they are
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comparatively
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equal.
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<
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>SIMPL. </
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<
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>In reciting that Axiom, you have omitted a ſmall
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clauſe, which importeth as much as all the reſt, eſpecially in our
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caſe, that is to ſay, the words
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æquè bene.
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It is requiſite therefore
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to examine whether this
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Hypotheſis
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doth
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equally well
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ſatisfie in all
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particulars, as the other.</
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<
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>SALV. </
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<
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>The knowledg whether both theſe poſitions do
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æquè
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bene,
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ſatisfie, may be comprehended from the particular
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nation of the appearances which they are to ſatisfie; for hitherto
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we have diſcourſed, and will continue to argue
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ex hypotheſi,
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namely, ſuppoſing, that as to the ſatisfaction of the appearances,
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both the aſſumptions are equally accomodated. </
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<
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>As to the clauſe
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which you ſay was omitted by me, I have more reaſon to ſuſpect
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that it was ſuperfluouſly inſerted by you. </
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<
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>For the expreſſion
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æquè
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bene,
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is a relative that neceſſarily requireth two terms at leaſt,
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for a thing cannot have relation to its ſelf, nor do we ſay,
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v. </
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<
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>gr.
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reſt to be
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equally good,
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as reſt. </
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<
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>And becauſe, when we ſay,
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that
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is done in vain by many means, which may be done with fewer,
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we mean, that that which is to be done, ought to be the ſame
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thing, not two different ones; and becauſe the ſame thing
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not be ſaid to be done as well as its ſelf; therefore, the addition
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of the Phraſe
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æquè bene
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is ſuperfluous, and a relation, that hath
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but one term onely.</
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<
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In the Axiome
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Fruſtra fit per
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ra, &c.
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the
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tion of
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æque benè,
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<
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is ſuperfluous.
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<
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>SAGR. </
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<
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>Unleſſe you will have the ſame befal us, as did
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day, let us return to our matter in hand; and let
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Simplicius
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