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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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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