Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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ARCHIMEDES.
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manam qualitatis auri pronunciationem requiritur, vt ſupra mul-
<
lb
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tis oſtendimus, reuocanda erit ad partes vigeſimas quartas boc est
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ad partes, qualium tota propoſita maſſa est 24, quod factu non est
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difficile. </
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<
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echoid-s1426
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xml:space
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preserve
">N am ſi fiat vt tota grauit as maſſæ propoſitæ 5301, algra-
<
lb
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uitatem auri puri 4638 {45/136}, vel vt 272, ad 238, cum vtrobique
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eadem ſit ratio ita 24, ad a lium numerum. </
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>
<
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xml:id
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echoid-s1427
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xml:space
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">proculdubio quartus nu-
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merus proportionalis, erit ille qui quæritur. </
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>
<
s
xml:id
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echoid-s1428
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xml:space
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">Est autem bic quar-
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lb
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tus numerus 21. </
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>
<
s
xml:id
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echoid-s1429
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xml:space
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preserve
">Quare aurum maſſæ propoſitæ appellabitur par-
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tium 21.</
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<
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xml:space
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<
s
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echoid-s1431
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xml:space
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">Ex his igitur patet in inuenienda auri qualitate primum pro-
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portionis terminum 272, & </
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<
s
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echoid-s1432
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xml:space
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">ſecundum 5301, perpetuo manere eoſ-
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dem, quia primus terminus est differentia inter grauitates primæ,
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& </
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>
<
s
xml:id
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echoid-s1433
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xml:space
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">tertiæ aquæ, quæ nunquam mutantur, nam illæ aquæ magnitu-
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dine ſunt æquales altera auro puro, reliqua miſto ex argento & </
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<
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xml:space
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">ære,
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quæ corpora aureum ſcilicet & </
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>
<
s
xml:id
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echoid-s1435
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xml:space
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">mistum ſemper ponuntur eiuſdem
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grauitatis nempe 5301, Secundus vero terminus 5301, eſt grauit as
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maſſæ propoſitæ, quæ ſi maior fuerit, vel minor, ad eam facile reuo-
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cabitur. </
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>
<
s
xml:id
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echoid-s1436
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xml:space
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">V nde in posterum ſolum opus erit inuenire tertium pro-
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portionis terminum, boc est differentiam inter grauitates ſecundæ
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/>
& </
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>
<
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xml:id
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echoid-s1437
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xml:space
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">tertiæ aquæ.</
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<
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xml:space
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"/>
</
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<
s
xml:id
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echoid-s1439
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xml:space
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">Sed vt boc etiam exemplo illustretur, proponatur aliqua maſſa
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auri, cuius inue ſtigãda ſit qualitas, & </
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>
<
s
xml:id
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echoid-s1440
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xml:space
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preserve
">ſit ipſius maſſæ grauitas qui-
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dem in aere 837, in aqua vero 784, ergo * grauitas aquæ magnitu-
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<
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dinem babentis æqualem propoſitæ maſſæ erit 53, differentia enim
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inter primam, & </
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<
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<
s
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xml:space
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">Ad inueniendum igitur tertium proportionis terminum manen-
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tibus primis duobus 272, 5301, bæc erit ratio. </
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<
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xml:id
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xml:space
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">Reuocetur primum
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ptopoſitæ maſſæ grauitas 837, ad grauitatem 5301, boc est intelli-
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gatur ipſa maſſa grauit atem babere 5301. </
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>
<
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xml:id
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xml:space
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">deinde fiat vt 837, ad 53,
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grauitatem videlicet aquæ ipſi maſſæ æqualis, ita 5301, ad 335 {2/3},
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ergo 335 {2/3}, erit grauitas aquæ magnitudinem babentis æqualem
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aureæ maßæ, cuius grauitas 837, reuocata est ad grauitatem 5301;
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</
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<
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echoid-s1446
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">quare grauitas ſecundæ aquæ erit 335 {2/3}, & </
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<
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">conſequenter differen-
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">Grauitas primæ aquæ. # Grauitas ſecundæ aquæ. # Grauitas tertiæ aquæ.
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279, # 335 {2/3}, # 551.</
note
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tia inter ipſam grauitatem ſecundæ aquæ & </
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<
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">grauitatem tertiæ 551,
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erit 215 {1/3}, ſed ipſa differentia ponitur pro tertio proportionis ter-
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mino; </
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<
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xml:space
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">ergo 215 {1/2}, erit quæſitus terminus, nempe proportionis </
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