Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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QVARE quadratum b d magis excedit quadratum
33A f q, quàm b c quadratum:
& idcirco linea f q minor eſt,
quàm
b c:
itemq; f minor quam b r. ] _Quoniani exceſſus, quo_
_quadratum
b d excedit quadratum b c ad quadratum b d minorem_
_proportionem
habet, quàm exceſſus, quo quadratum b d excedit qua_
_dratum
f q, ad idem quadratum:
erit ex octaua quinti exceſſus, quo_
_quadratum
b d excedit quadratum b c, minor quàm exceſſus, quo ex_
_cedit
quadratum f q.
ergo quadratum f q minus est quadrato b c: &_
_propterea
linea f q minor linea b c.
Sed f q ad f eandem proportionẽ_
_habet
, quam b c ad b r;
utraque enim utriuſque ſeſquialtera est. cum_
4414. quinti _igitur f q ſit minor b c, &
f ipſa b r minor erit_.
Et propterea k r ad ſ y maiorem habet, quàm dimidium
55B ipſius k r ad ψ b.
] _Est enim k r ad ſ y, ut quadratum p s ad qua_
_dratum
ſ y:
& dimidium lineæ K r ad lineam ψ b, ut quadratum e ψ_
_ad
quadratum ψ b_.
Et s o minor quàm ψ b] _Est enim ſ y dupla ipſius ſ o._
66C
Et p h maior, quàm f. ] _Nam p h eſt æqualis ſ ω, & r ψ_
77D _ipſi f_.

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