Vitruvius - De architectura libri decem

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312280LIBER portione inter ſe comparatæ, ſicut ſe habet prima ad quartam, ita ſolidum quod fit a prima ſimile eſt illi, quæ
fit a ſecunda, & ſimiliter deſcriptum. igitur ratio ſolidi a, ad ſimile ſolidum b, est, ut d, ad c, exſubie=
ctione autem d, ad e, comparatur ut b, ad o, Propoſito igitur ſolido a, ſub data ratione ipſius b, ad c,
conſtructum eſt ſimile ſolidum b, quod facere mens fuerat. Amplius ſi cubum ſolido quadrangulari & -
119[Figure 119]Demostratio ter tiæ proprietatis, & aſſumptionis Nicomedis.
instrumentum Nicomedis.f h d g b s n m k a120[Figure 120]Duplicatio cubi.e a
b c d f g121[Figure 121]Dimonctratio
prrima proprie
tatis.s n m l k122[Figure 122]Vſus inſtrume ti Nicomedis & eius demő ſtratio.l e b c g f a k h i123[Figure 123]h124[Figure 124]b d c e f g125[Figure 125]a b c e d quale conficere uelimus, hoc modo agendum eſt. Sit propoſitum parallelipedum a b c d, cuius latitudo
a b, altitudo b c, longitudo c d, oportet cubum æqualem illi conſtituere. inveniatur per ultimam ſecundi
latus quadratum plani a b c, ideſt linez recta, cuius quadratum æquum ſit plano a b c, quæ linea ſit e,
& inxta aliquem ex ſupradictis modis inveniantur duæ mediæ comparabiles inter e, & c d. & ſint ille f.

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