Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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13
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0037
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37
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rhead
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DE IIS QVAE VEH. IN AQVA.
"/>
b: </
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<
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">iunctaq; </
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<
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">& </
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<
s
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">ſit g centrum grauitatis
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reliquæ figuræ isla. </
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<
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">ſimiliter demonſtrabitur angulum
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rok acutu eſ-
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fig-0037-01
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0037-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0037-01
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ſe: </
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<
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">perpendi
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culare ab r ad
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k ω ductam ca
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dereinter k & </
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o, quæ ſit rt.
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">ſi autem à pun
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ctis g b ducan
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tur ipſi r t æqui
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diſtantes; </
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<
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">pars
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quidem ſolidæ
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magnitudinis,
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quæ in humido eſt, ſurſum feretur ſecundum perpendicu-
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larem per g ductam: </
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<
s
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">quæ autem extra humidum ſecundũ
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perpendicularem per b deorſum feretur: </
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<
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">non manebit
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ſolidum a p o l ſic habens in humido: </
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<
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">ſed quod quidem
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eſt ad a feretur ſurſum: </
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<
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">quod autem ad l deorſum, donec
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p f fiat ſecundum perpendicularem.</
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">PROPOSITIO IIII.</
head
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<
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style
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">Recta</
emph
>
portio conoidis rectanguli, quando
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fuerit humido leuior, & </
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<
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">axem habuerit maiorẽ,
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qnàm ſeſquialterum eius, quæ uſque ad axem: </
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">ſi
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in grauitate ad humidum æqualis molis non mi-
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norem proportionem habeat ea, quàm quadra-
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tũ, quod fit ab exceſſu, quo axis maior eſt, quàm
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ſeſquialter eius, quæ uſque ad axẽ, habet ad qua-
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dratum, quod ab axe; </
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<
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