Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
[51.] V.
[52.] DEMONSTRATIO SECVNDAE PARTIS.
[53.] COMMENTARIVS.
[54.] DEMONSTRATIO TERTIAE PARTIS.
[55.] COMMENTARIVS.
[56.] DEMONSTRATIO QVARTAE PARTIS.
[57.] DEMONSTRATIO QVINT AE PARTIS.
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
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page |< < of 213 > >|
162FED. COMMANDINI erunteadem ra-
116[Figure 116] tione priſmata a
e, f m inter ſe æ-
qualia.
quare ſi-
militer demon-
ſtrabitur priſma
f m ad priſma f l
eandem habere
proportionem,
quam priſmatis
f m altitudo ad
altitudinem ip-
ſius f l.
ergo & priſma a e ad priſma f l eandem propor-
tionem habebit, quam altitudo ad altitudinem.
ſequitur
igitur ut &
pyramides, quæ in æqualibus baſibus conſtituũ
tur, eandem inter ſe ſe, quam altitudines, proportionem
habeant.
117[Figure 117]
Sint deinde priſmata a e, a f in eadem baſi a b c d; quorũ
axes cum baſibus æ quales angulos contineant:
& ſit

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