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 |< < (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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