Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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Orb. </
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>And becauſe the diſtance of the Sun from the Earth,
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tains by common conſent 1208. Semidiameters of the ſaid Earth,
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and the diſtance of the fixed Stars (as hath been ſaid) 2160.
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Semediameters of the grand Orb, therefore the Semediameter of
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the Earth is much greater (that is almoſt double) in compariſon
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of the grand Orb, than the Semediameter of the grand Orb, in
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relation to the diſtance of the Starry Sphære; and therefore the
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variation of aſpect in the fixed Stars, cauſed by the Diameter of
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the grand Orb, can be but little more obſervable, than that which
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is obſerved in the Sun, occaſioned by the Semediameter of the
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Earth.</
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The diſtance of
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the Sun, containeth
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1208
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Semid. </
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Earth.
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* The Diameter
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of the Sun, half a
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degree.</
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The Diameter
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of a fixed Star, of
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the firſt
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tude, and of one of
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the ſixth.
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The apparent
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Diameter of the
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Sun, how much it
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is bigger than that
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of a fixed ſtar.
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The diſtance of
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a fixed ſtar of the
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ſixth magnitude,
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how much it is, the
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ſtar being ſuppoſed
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to be equal to the
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Sun.
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In the fixed ſtars
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the diverſitie of
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ſpect, cauſed by
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the grand Orb, is
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little more then
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that cauſed by the
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Earth in the Snn.
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<
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>SAGR. </
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>This is a great fall for the firſt ſtep.</
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>It is doubtleſſe an errour; for a fixed Star of the ſixth
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magnitude, which by the computation of this Authour, ought,
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for the upholding the propoſition of
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Copernicus,
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to be as big as
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the whole grand Orb, onely by ſuppoſing it equal to the Sun,
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which Sun is leſſe by far, than the hundred and ſix milionth part
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of the ſaid grand Orb, maketh the ſtarry Sphære ſo great and high
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as ſufficeth to overthrow the inſtance brought againſt the ſaid
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pernicus.
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A ſtar of the
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ſixth magnitude,
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ſuppoſed by
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Tycho
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and the Authour
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of the Book of
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cluſions, an
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dred and ſix
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ons of times bigger
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than needs.
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<
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>SAGR. </
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>Favour me with this computation.</
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>The ſupputation is eaſie and ſhort. </
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>The Diameter of
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the Sun, is eleven ſemediameters of the Earth, and the Diameter
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of the grand Orb, contains 2416. of thoſe ſame ſemediameters,
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by the aſcent of both parties; ſo that the Diameter of the ſaid
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Orb, contains the Suns Diameter 220. times very near. </
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becauſe the Spheres are to one another, as the Cubes of their
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ameters, let us make the Cube of 220. which is 106480000. and
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we ſhall have the grand Orb, an hundred and ſix millions, four
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hundred and eighty thouſand times bigger than the Sun, to which
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grand Orb, a ſtar of the fixth magnitude, ought to be equal,
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cording to the aſſertion of this Authour.</
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The
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on of the
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tude of the fixed
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Stars, in reſpect to
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the grand Orb.
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>SAGR. </
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>The errour then of theſe men, conſiſteth in being
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treamly miſtaken, in taking the apparent Diameter of the fixed
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Stars.</
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<
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>This is one, but not the onely errour of them; and
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indeed, I do very much admire how ſo many
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Aſtronomers,
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and
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thoſe very famous, as are
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Alfagranus, Albategnus, Tebizius,
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and
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much more modernly the
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Tycho's
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and
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Clavius's,
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and in ſumm,
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all the predeceſſors of our
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Academian,
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ſhould have been ſo groſly
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miſtaken, in determining the magnitudes of all the Stars, as well
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ſixed as moveable, the two Luminaries excepted out of that
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ber; and that they have not taken any heed to the adventitious
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irradiations that deceitfully repreſent them an hundred and more
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times bigger, than when they are beheld, without thoſe </
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