Galilei, Galileo
,
The systems of the world
,
1661
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<
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>SIMP. </
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<
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>I muſt confeſſe that all that which
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Salviatus
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hath
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ken is new unto me, for truth is, I never have had the curioſity to
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read thoſe Books, nor have I hitherto given any great credit to
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the Teleſcope newly introduced; rather treading in the ſteps of
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ther
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Peripatetick
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Philoſophers my companions, I have thought
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thoſe things to be fallacies and deluſions of the Chryſtals, which
<
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others have ſo much admired for ſtupendious operations: and
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therefore if I have hitherto been in an errour, I ſhall be glad to be
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freed from it, and allured by theſe novelties already heard from
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you, I ſhall the more attentively hearken to the reſt.</
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The operations of
<
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the Teleſcope
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counted fallacies by
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the
<
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Peripateticks.</
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</
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<
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>SALV. </
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<
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>The confidence that theſe men have in their own
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prehenſiveneſſe, is no leſs unreaſonable than the ſmall eſteem they
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have of the judgment of others: yet its much that they ſhould
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ſteem themſelves able to judge better of ſuch an inſtrument,
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out ever having made trial of it, than thoſe who have made, and
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daily do make a thouſand experiments of the ſame: But I pray
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you, let us leave this kind of pertinacious men, whom we
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not ſo much as tax without doing them too great honour. </
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<
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>And
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<
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turning to our purpoſe, I ſay, that reſplendent objects, whether
<
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it is that their light doth refract on the humidity that is upon the
<
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pupils, or that it doth reflect on the edges of the eye-browes,
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fuſing its reflex rayes upon the ſaid pupils, or whether it is for ſome
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other reaſon, they do appear to our eye, as if they were environ'd
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with new rayes, and therefore much bigger than their bodies
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would repreſent themſelves to us, were they diveſted of thoſe
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<
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radiations. </
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<
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>And this aggrandizement is made with a greater and
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greater proportion, by how much thoſe lucid objects are leſſer and
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leſſer; in the ſame manner for all the world, as if we ſhould
<
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poſe that the augmentation of ſhining locks were
<
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v.g.
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four inches,
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which addition being made about a circle that hath four inches
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ameter would increaſe its appearance to nine times its former
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neſſe: but---------</
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<
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Shining objects
<
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ſeem environed
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with adventitious
<
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rayes.
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type
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</
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</
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<
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<
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The reaſon why
<
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luminous bodies
<
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pear enlarged
<
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much the more, by
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how much they are
<
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leſſer.
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</
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</
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<
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<
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>SIMP. </
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>
<
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>I believe you would have ſaid three times; for adding
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four inches to this ſide, and four inches to that ſide of the
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ter of a circle, which is like wiſe four inches, its quantity is
<
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by tripled, and not made nine times bigger.</
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>
</
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<
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<
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>SALV. </
s
>
<
s
>A little more
<
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type
="
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Geometry
<
emph.end
type
="
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would do well,
<
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type
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Simplicius.
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<
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True it is, that the diameter is tripled, but the ſuperficies, which is
<
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that of which we ſpeak, increaſeth nine times: for you muſt know,
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<
emph
type
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"/>
Simplicius,
<
emph.end
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that the ſuperficies of circles are to one another, as
<
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the ſquares of their diameters; and a circle that hath four inches
<
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diameter is to another that hath twelve, as the ſquare of four to
<
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the ſquare of twelve; that is, as 16. is to 144 and therefore it ſhall
<
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be increaſed nine times, and not three; this, by way of
<
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/>
ment to
<
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type
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Simplicius.
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"/>
And proceeding forwards, if we ſhould add </
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