Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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9341DE IIS QVAE VEH. IN AQVA. ſtrabitur portionem, quæ ad humidum in grauitate eandẽ
proportionem habeat, quàm quadratum p f ad quadratũ
b d in humidum demiſſam, ita ut baſis ipſius nõ cõtingat
humidum, inclinatam conſiſtere adeo, ut baſis in uno pun
cto humidi ſuperficiem contingat.
& axis cum ipſa faciat
angulum angulo φ æqualem.
COMMENTARIVS.
_Hoc eſt quadratum t p ad quadratum b d. ]_ Ex uigeſima
11A ſexta libri Archimedis de conoidibus, &
ſphæroidibus. ergo ex no
na quinti erit quadratum t p æquale quadrato x o:
& propterea li
nea t p lineæ x o æqualis.
_Et portiones ipſæ æquales erunt. ]_ Ex uigeſimaquinta eiuſ-
22B dem libri.
Rurſus
33C quoniam
in portio
nibus æ-
qualibus,
&
ſimili-
bus a o q
l, a p m l.
]
_In portio-_
_ne enim a p_
_m l deſcri-_
_batur por-_
_tio a o q æ-_
_qualis por_
_tioni i p m_,
_cadet pun-_
_ctum q in-_
_fram, alio-_
_qui totum parti eſſet æquale.
Ducatur deinde i u æquidiſtans a