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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page |< < (41) of 213 > >|
DE IIS QVAE VEH. IN AQVA.
ſtrabitur portionem, quæ ad humidum in grauitate eandẽ
proportionem habeat, quàm quadratum p f ad quadratũ
b d in humidum demiſſam, ita ut baſis ipſius nõ cõtingat
humidum, inclinatam conſiſtere adeo, ut baſis in uno pun
cto humidi ſuperficiem contingat.
& axis cum ipſa faciat
angulum angulo φ æqualem.

COMMENTARIVS.

_Hoc eſt quadratum t p ad quadratum b d. ]_ Ex uigeſima
Aſexta libri Archimedis de conoidibus, &
ſphæroidibus. ergo ex no
na quinti erit quadratum t p æquale quadrato x o:
& propterea li
nea t p lineæ x o æqualis.
_Et portiones ipſæ æquales erunt. ]_ Ex uigeſimaquinta eiuſ-
Bdem libri.
Rurſus
C
Figure: /permanent/library/4E7V2WGH/figures/0093-01 not scanned
[Figure 56]
quoniam
in portio
nibus æ-
qualibus,
&
ſimili-
bus a o q
l, a p m l.
]
_In portio-_
_ne enim a p_
_m l deſcri-_
_batur por-_
_tio a o q æ-_
_qualis por_
_tioni i p m_,
_cadet pun-_
_ctum q in-_
_fram, alio-_
_qui totum parti eſſet æquale.
Ducatur deinde i u æquidiſtans a q_,

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