Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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0018
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18
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ARCHIMEDIS
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extet ex humidi ſuperficie. </
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<
s
xml:id
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echoid-s233
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xml:space
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">conſiſtat autem humidum, ma
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neatq;</
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<
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xml:space
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<
s
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">intelligatur aliquod planum ductum per centrũ
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terræ, per humidum, & </
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<
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<
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fig-0018-01
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7
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0018-01
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per magnitudinem ſoli-
<
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dam: </
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<
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xml:space
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">à quo ſuperficies
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/>
quidem humidi ſecetur
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/>
ſecundum circunferen-
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tiam a b c; </
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>
<
s
xml:id
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xml:space
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">ſolida autem
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lb
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magnitudo ſecundum fi
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guram, in qua r: </
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>
<
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xml:space
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">& </
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<
s
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">cen-
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lb
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trum terræ ſit K. </
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<
s
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">Intelli
<
lb
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gatur etiam quædam py
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ramis comprehendens
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/>
figuram r, ſicuti prius, quæ pũctum K pro uertice habeat:
<
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</
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<
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">fecenturq; </
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>
<
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xml:id
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xml:space
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">ipſius plana à ſuperficie plani a b c ſecundum
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a K K b: </
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>
<
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xml:id
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xml:space
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">& </
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<
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">ſumatur pyramis alia æ qualis, & </
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>
<
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xml:space
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">ſimilis ſuperio
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ri, cuius plana ſecentur à plano a b c, ſecundum b K K c: </
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<
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deinde alterius ſphæræ ſuperficies quædam deſcribatur in
<
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humido circa centrum K, ſub ſolida magnitudine: </
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>
<
s
xml:id
="
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"
xml:space
="
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">& </
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>
<
s
xml:id
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xml:space
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">ſece-
<
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tur ab eodem plano ſecundum x o p: </
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>
<
s
xml:id
="
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xml:space
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">poſtremo intelliga-
<
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tur alia magnitudo h in poſteriori pyramide, quæ ex humi
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/>
do conſtet, & </
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>
<
s
xml:id
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xml:space
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">ſolidæ magnitudini r ſit æ qualis. </
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>
<
s
xml:id
="
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"
xml:space
="
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">partes igi-
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tur humidi, & </
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>
<
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xml:id
="
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xml:space
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">quæ in prima pyramide continetur ſuperfi-
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cie x o; </
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<
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xml:space
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">& </
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>
<
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xml:id
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xml:space
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">quæ in ſecunda ſuperficie o p continetur, æquali
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ter iacent, & </
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>
<
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">continuatæ inter ſe ſe; </
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>
<
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="
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xml:space
="
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">non tamen ſimiliter
<
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premuntur: </
s
>
<
s
xml:id
="
echoid-s258
"
xml:space
="
preserve
">nam quæ eſt in prima pyramide premitur ma
<
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gnitudine ſolida r, & </
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>
<
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xml:id
="
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xml:space
="
preserve
">humido cõtinente ipſam, quod eſt in
<
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/>
loco pyramidis a b o x: </
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>
<
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xml:id
="
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xml:space
="
preserve
">quæ uero in altera pyramide pre-
<
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mitur ſolida magnitudineh, & </
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>
<
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xml:id
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xml:space
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">humido ipſam continente
<
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/>
in loco pyramidis p o b c. </
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>
<
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xml:space
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">At grauitas ſolidæ magnitudi-
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nis r, minor eſt grauitate humidi, in quo h: </
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>
<
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">quoniam ma-
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gnitudo ſolida mole quidem æqualis, & </
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>
<
s
xml:id
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xml:space
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">humido leuior po
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nitur: </
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>
<
s
xml:id
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xml:space
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">grauitas autem humidi continentis magnitudines
<
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/>
r h eſt æqualis; </
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>
<
s
xml:id
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">cum pyramides æquales ſint. </
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<
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">magis </
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