Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
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page |< < (41) of 213 > >|
9341DE 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
11A ſexta 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-
22B dem libri.
Rurſus
33C59[Figure 59] 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

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