Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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9542DE IIS QVAE VEH. IN AQVA. clinata, ut baſis humidum non contingat, ſectur plano per axem,
recto ad ſuperficiem humidi, ut ſectio ſit a m o l rectanguli coni ſe-
ctio:
ſuperficiei humidi ſectio ſit i o: axis portionis, & ſectionis
diameter b d;
quæ in eaſdem, quas diximus, partes ſecetur: duca-
turq;
m n quidem ipſi i o æquidiſtans, ut in puncto m ſectionem
cótingat:
mt uero æquidiſtans ipſi b d: & m s ad eandem perpen
dicularis.
Demonſtrandum eſt non manere portionem, ſed inclinari
ita, ut in uno puncto contingat ſuperficiem humidi.
ducatur enim p c
& iuncta a f uſque ad ſectionem
producatur in q:
& per p ducatur p φ ipſi a q æquidiſtans. erunt
iam ex ĳs, quæ demonſtrauimus a f, f q inter ſe ſe æquales.
& cum
dum eam in gra-
uitate proportio
nem habeat, quá
atque eandem ha
beat portio ipſi-
tam portionem;

118. quinti. b d: