Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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cundum eam, quæ per g, deorſum ferctur; </
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<
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bit ſolidum a p o l: </
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quod ad b deorſum, donec n o ſecundum perpendicu-
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larem conſtituatur.</
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<
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propoſitionis huius demonstratio, quam nos
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etiam ad Archimedis figuram appoſite restituimus, commentarijs-
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que illustrauimus.</
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<
s
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">_Recta portio conoidis rectanguli, quando axem habue_
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_rit minorem, quàm ſeſquialterum eius, quæ uſque ad axẽ]_
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In tranſlatione mendoſe legebatur. </
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</
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<
s
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">ita legebatur in ſequenti propoſitione. </
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<
s
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xml:space
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">est autem recta portio co
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noidis, quæ plano ad axem recto abſcinditur: </
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<
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">eâmque rectam tunc
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conſiſtere dicimus, quando planum abſcindens, uidelicet baſis pla-
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num, ſuperficiei humidi æquidiſtans fuerit.</
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<
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">Quæ erit ſectionis i p o s diameter, & </
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humido demerſæ] _ex_ 46 _primi conicorum Apollonij: </
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">uel ex co-_
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_rollario_ 51 _eiuſdem_.</
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">_Sitque ſolidæ magnitudinis a p o l grauitatis centrum r,_
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_ipſius uero i p o s centrum ſit b.</
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rectanguli centrum grauitatis eſt in axe, quem ita diuidit, ut pars
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eius, quæ ad uerticem terminatur, reliquæ partis, quæ ad baſim, ſit
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dupla: </
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<
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">quod nos in libro de centro grauitatis ſolidorum propoſitio-
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ne 29 demonstrauimus. </
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<
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uitatis ſit r, erit o r dupla r n: </
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<
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altera. </
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">Eadem ratione b centrum grauitatis portionis i p o s est in
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axe p f, ita ut p b dupla ſit b f.</
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_tatis reliquæ figuræ i s l a]_ Si enim linea b r in g producta, ha
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beat g r ad r b proportionem eam, quam conoidis portio i p o s ad
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reliquam figuram, quæ ex humidi ſuperficie extat: </
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ipſius grauitatis centrum, ex octaua Archimedis.</
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