Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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ARCHIMEDIS
10. quinti
_Eſt autem & s b ſeſquialtera ipſius b r. ]_ Ponitur enim
Hd b ſeſquialtera ipſius b k;
itémq; d ſ ſeſquialtera k r. quare ut to
ta d b ad totam b K, ita pars d s ad partem K r.
ergo & reliqua
19. quintis b ad reliquim b r, ut d b ad b k.
_Quæ ſimiles ſint portioni a b l. ]_ Similes portiones coni ſe-
Kctionum Apollonius it.
i diffiniuit in ſexto libro conicorum, ut ſcri-
bit Eutocius, εν οἱς α χ θεισωνἐν ἑηάστω παραλλήλων τῆ βάσει, ἵσωι
τὸ πλῆθος, ὰι παρὰλληλοι, καὶ αἱ βάσ{ει}ς πρὸς τὰςἀποτεμνομένας
ἀπὸ τῶν διαμέ τρων ταῖς νορυφαῖς ἐν τοῖς αὐτοῖ ς λὄγοιςεἰσἰ, καὶἁι
ἀποτεμνόμεναι πρὸς τάς ἀποτεμνομένας;
hoc est. in quibus ſi du-
cantnr lineæ æquidistantes baſi numero æquales:
æquidiſtantes atq;
baſes ad partes diametrorum, quæ ab ipſis ad uerticem abſcindũtur,
eandem proportionem babent:
it émq; partes abſciſſæ ad abſciſſas.
ducuntur autem lineæ baſi æquidistantes:
ut opinor, deſcripta in ſin
gulis plane rectilinea figura, quæ lateribus numero æqualibus conti
γνωρίμωςneatur.
Itaq; portiones ſimiles à ſimilibus coni ſectionibus abſcindũ
tur:
& earum diametri ſiue ad baſes rectæ, ſiue cum baſibus æ qua-
les angulos facientes, ad ipſas baſes eandem habent proportionem.

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