Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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13311DE CENTRO GRA VIT. SOLID.& per o ducatur o p ad k m ipſi h g æquidiſtans. Itaque li
nea
h m bifariã uſque diuidatur, quoad reliqua ſit pars
quædam
q m, minor o p.
deinde h m, m g diuidantur in
partes
æ quales ipſi m q:
& per diuiſiones lineæ ipſi m K
æ
quidiſtantes ducantur.
puncta uero, in quibus trian-
gulorum
latera ſecant, coniungantur ductis lineis r s, t u,
89[Figure 89] x y;
quæ baſi g h æquidiſtabunt. Quoniam enim lineæ g z,
h
α ſunt æ quales:
itemq; æquales g m, m h: ut m g ad g z,
ita
erit m h, ad h α:
& diuidendo, ut m z ad z g, ita m α ad
α
h.
Sed ut m z ad z g, ita k r ad r g: & ut m α ad α h, ita k s
112. ſexti. ad s h.
quare ut κ r ad r g, ita k s ad s h. æ quidiſtant igitur
22I1. quinti inter ſe ſe r s, g h.
eadem quoque ratione demonſtrabimus
332. ſexti.

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