Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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166FED. COMMANDINI compoſitam proportionem habet ex proportione baſiũ,
&
proportione altitudinum. Quare & pyramis, cuius ba-
ſis eſt quadrilaterum a b c d, &
altitudo e f ad pyramidem,
122[Figure 122] cuius baſis quadrilaterum g h K l, &
altitudo m n, compoſi
tam habet proportionem ex proportione baſium a b c d,
g h k l, &
ex proportione altitudinum e f, m n. quod qui-
dem demonſtraſſe oportebat.
Ex iam demonſtratis perſpicuum eſt, priſma
ta omnia, &
pyramides, in quibus axes cum baſi-
bus æquales angulos continent, proportionem
habere compoſitam ex baſium proportione, &

proportione axium.
demonſttatum eſt enim, a-
xes inter ſe eandem proportionem habere, quam
ipſæ altitudines.
THE OREMA XVIII. PROPOSITIO XXII.
Cvivslibet pyramidis, & cuiuslibet

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