Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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cto continget. </
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<
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xml:space
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">Itaque iuncta cm producatur ad ſectionem a b c in p:
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</
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xml:space
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<
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xml:space
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">à p ad a c ducatur p q, quæ ipſi b d æquidiſtet. </
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<
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xml:space
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tur linea c h contingit ſectionem e f c in c puncto; </
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<
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xml:space
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">habebit l m
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ad m d proportionem eandem, quam c d ad d e, ex quinta propoſi-
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/>
tione Archimedis in libro de quadratura parabolæ. </
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<
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<
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">propter triá
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gulorum c m d, c p q
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ſimilitudinem, ut c m
<
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ad c d, ita erit c p ad
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c q: </
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<
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</
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<
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xml:space
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ad c q. </
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<
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xml:space
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ad c p, ſic c e ad c a: </
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<
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<
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quod proxime demó-
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ſtrauimus. </
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c e ad c a, ſit c d ad
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c q: </
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<
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">hoc eſt ut totum
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ad totum, ſic pars ad
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partem, reliquum igi
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tur d e ad reliquum
<
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q a eſt ut c e ad c a; </
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<
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uidelicet ut c d ad
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c q: </
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<
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xml:space
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<
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<
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c d ad d e, ut c q ad
<
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q a. </
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<
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<
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xml:space
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">l m ad m
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d, ut c d ad d e. </
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<
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xml:space
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<
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l m ad m d, ut c q ad
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q a. </
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<
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xml:space
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ex quinta Archime-
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dis, quam diximus; </
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<
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eſt ut c d ad d a. </
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ſtat igitur ex antece-
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denti lemmate c d ad d q ita eſſe, ut l b ad b m. </
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<
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<
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">2. ſexti.</
note
>
ita c m ad m p. </
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<
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<
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">Quòd cum demon
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ſtratum fuerit, c m ad m p, ut c e ad e a: </
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<
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