Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[11. PROPOSITIO IIII.]
[12. PROPOSITIO V.]
[13. PROPOSITIO VI.]
[14. PROPOSITIO VII.]
[15. POSITIO II.]
[16. COMMENTARIVS.]
[17. PROPOSITIO VIII.]
[18. COMMENTARIVS.]
[19. PROPOSITIO IX.]
[20. COMMENTARIVS.]
[21. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.]
[22. PROPOSITIO II.]
[23. COMMENTARIVS.]
[24. PROPOSITIO III.]
[25. PROPOSITIO IIII.]
[26. COMMENTARIVS.]
[27. PROPOSITIO V.]
[28. COMMENTARIVS.]
[29. PROPOSITIO VI.]
[30. COMMENTARIVS.]
[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.]
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ARCHIMEDIS
extet ex humidi ſuperficie. conſiſtat autem humidum, ma
neatq;
: & intelligatur aliquod planum ductum per centrũ
terræ, per humidum, &

Figure: /permanent/library/4E7V2WGH/figures/0018-01 not scanned
[Figure 7]
per magnitudinem ſoli-
dam:
à quo ſuperficies
quidem humidi ſecetur
ſecundum circunferen-
tiam a b c;
ſolida autem
magnitudo ſecundum fi
guram, in qua r:
& cen-
trum terræ ſit K.
Intelli
gatur etiam quædam py
ramis comprehendens
figuram r, ſicuti prius, quæ pũctum K pro uertice habeat:
fecenturq; ipſius plana à ſuperficie plani a b c ſecundum
a K K b:
& ſumatur pyramis alia æ qualis, & ſimilis ſuperio
ri, cuius plana ſecentur à plano a b c, ſecundum b K K c:

deinde alterius ſphæræ ſuperficies quædam deſcribatur in
humido circa centrum K, ſub ſolida magnitudine:
& ſece-
tur ab eodem plano ſecundum x o p:
poſtremo intelliga-
tur alia magnitudo h in poſteriori pyramide, quæ ex humi
do conſtet, &
ſolidæ magnitudini r ſit æ qualis. partes igi-
tur humidi, &
quæ in prima pyramide continetur ſuperfi-
cie x o;
& quæ in ſecunda ſuperficie o p continetur, æquali
ter iacent, &
continuatæ inter ſe ſe; non tamen ſimiliter
premuntur:
nam quæ eſt in prima pyramide premitur ma
gnitudine ſolida r, &
humido cõtinente ipſam, quod eſt in
loco pyramidis a b o x:
quæ uero in altera pyramide pre-
mitur ſolida magnitudineh, &
humido ipſam continente
in loco pyramidis p o b c.
At grauitas ſolidæ magnitudi-
nis r, minor eſt grauitate humidi, in quo h:
quoniam ma-
gnitudo ſolida mole quidem æqualis, &
humido leuior po
nitur:
grauitas autem humidi continentis magnitudines
r h eſt æqualis;
cum pyramides æquales ſint. magis ergo

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