Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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ed, and as ſuch to be refuſed; but the buſineſſe doth not ſucceed
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in that manner, my
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Simplicius,
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and I excuſe you for not having
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comprehended the matter as it is, in regard of your ſmall
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ence in ſuch affairs; but yet cannot I under that cloak palliate the
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error of the Author, who diſſembling the knowledge of this which
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he did perſwade himſelf that we in good earneſt did not
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ſtand, hath hoped to make uſe of our ignorance, to gain the
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ter credit to his Doctrine, among the multitude of illiterate men.
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>Therefore for an advertiſement to thoſe who are more credulous
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then intelligent, and to recover you from error, know that its
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ſible (and that for the moſt part it will come to paſſe) that an
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obſervation, that giveth you the ſtar
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v. </
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<
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>gr.
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at the diſtance of
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turn,
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by the adition or ſubſtraction of but one ſole minute from
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the elevation taken with the inſtrument, ſhall make it to become
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infinitely diſtant; and therefore of poſſible, impoſſible, and by
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converſion, thoſe calculations which being grounded upon thoſe
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obſervations, make the ſtar infinitely remote, may poſſibly
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times with the addition or ſubduction of one ſole minute, reduce it
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to a poſſible ſcituation: and this which I ſay of a minute, may
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ſo happen in the correction of half a minute, a ſixth part, and leſs.
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>Now fix it well in your mind, that in the higheſt diſtances, that is
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v. </
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the height of
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Saturn,
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or that of the fixed Stars, very ſmall
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errors made by the Obſervator, with the inſtrument, render the
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ſcituation determinate and poſſible, infinite & impoſſible. </
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>This doth
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not ſo evene in the ſublunary diſtances, and near the earth, where
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it may happen that the obſervation by which the Star is collected to
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be remote
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v. </
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<
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>g.
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4. Semidiameters terreſtrial, may encreaſe or
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niſh, not onely one minute but ten, and an hundred, and many
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more, without being rendred by the calculation either infinitely
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remote, or ſo much as ſuperior to the Moon. </
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<
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>You may hence
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comprehend that the greatneſſe of the error (to ſo ſpeak)
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mental, are not to be valued by the event of the calculation, but
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by the quantity it ſelf of degrees and minutes numbred upon the
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inſtrument, and theſe obſervations are to be called more juſt or
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leſs erroneous, which with the addition or ſubſtraction of fewer
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minutes, reſtore the ſtar to a poſſible ſituation; and amongſt the
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poſſible places, the true one may be believed to have been that,
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bout which a greater number of diſtances concurre upon
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ting the more exact obſervations.</
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<
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>SIMP. </
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>I do not very well apprehend this which you ſay: nor
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can I of my ſelf conceive how it can be, that in greater diſtances,
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greater exorbitancies can ariſe from the errour of one minute only,
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than in the ſmaller from ten or an hundred; and therefore would
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gladly underſtand the ſame.</
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<
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>SALV. </
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<
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>You ſhall ſee it, if not Theorically, yet at leaſt </
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