Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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PROMOTVS
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xml:space
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">Quæro denique magnitudinem diametri ſpbæræ ctanneæ, graui-
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tatem babentis 38, lib. </
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<
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">ſub titulo magnitudinis dia-
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metri ſpbæræ ctanneæ, datur quæſita diametri magnitudo 6, ad
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vnguem.</
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<
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">Notandum autem ect, quod numeri, qui diametrorum magnitu-
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dines denotant, non ſunt veri, ac certi, ſed veris bene proximi, quoniã
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numeri, quorum ipſi ſunt radices cubicæ, non ſunt cubi, & </
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<
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">ideo ipſæ
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radices non explicantur accurate, ſed vel veris maiores, velminores,
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atque vt cognoſcantur quæ ſint maiores, queue minores, maioribus
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duo puncta adiecimus, minoribus vnum, accuratis nullum. </
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<
s
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xml:space
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">inter om-
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nes autem vnus ect accuratus, is ſcilicet, qui magnitudinem indicat
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diametri ſpbæræ ctanneæ, grauitatem babentis 38, lib.</
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<
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">De compoſitione huius Tabulæ.</
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<
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xml:space
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">Huius tabulæ compoſitio pendet ex præcedenti tabula, & </
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<
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poſ. </
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<
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">17, buius, ſienim fiat vt grauitas ſphæræ ctanneæ, diametrum
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babentis vnius vnciæ, id ect, vt grana 1216, ad grauitatem ſphæræ
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vnius libræ, idect, ad grana 6912, ita cubus diametri vnius vnciæ,
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boc eſt, ita 1, ad alium numerum, qui ſit 5 {13/19} is erit cubus diametri
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ſpbæræ ctanneæ, grauitatem babentis 1, lib. </
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<
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">demonctratum enim
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ect prop. </
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<
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">17, buius, ſpbæras eiuſdem generis inter ſe eſſe in grauitate,
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vt diametrorum cubi in magnitudine; </
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<
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xml:space
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">quare radix cubica numeri
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5 {13/19}, dabit ipſam diametrum, ſed quoniam numerus 5 {13/19}, non ect
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præciſe cubus, eius radix non explicabitur accurata, ſed vt explicetur
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veræ bene proxima, multiplicetur 5 {13/19}, per 1000000. </
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<
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xml:space
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">& </
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<
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">ex producto
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5684210 {10/19}, neglecto fracto {10/19}, eruatur radix, tanquam ex accu-
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rato numero cubo, ea erit 178, proxime, & </
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<
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">erit centupla radicis nu-
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meri 5 {13/19}, nam numerus 1000000, per quem fuit multiplicatus
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5 {13/19}, cubus eſt ex 100; </
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<
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xml:space
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">magnitudo igitur diametri ſpbæræ ſtanneæ,
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grauitatem babentis 1, lib. </
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<
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">erit 1 {78/100}. </
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<
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">reliquarum autem ex ſtanno
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ſpbærarum, grauitatem babentium duplam primæ, triplam, quadru-
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plam & </
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<
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<
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">Duplum numeri 5684210 {10/19}, id ect 11368421 {1/19}, erit cubus
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centupli diametri ſpberæ ctanneæ, grauitatem babentis duplam pri-
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mæ, boc ect 2, lib. </
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<
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">ex ſupra nominata enim prop. </
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<
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">17, buius, eſt vt gra-
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uitas ſpbæræ vnius libræ, ad grauitatem ſpbæræ duarum librarum,
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ita cubus diametri primæ ſpbæræ, ad cubum diametri ſecundæ. </
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<
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vero triplicetur numerus 5684210 {10/19}, eius triplum, quod ect
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17052631 {11/19}, erit cubus centupli diametri ſpbæræ ſtanneæ, graui-
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statem babentis triplam primæ, idect 3, lib. </
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<
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<
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