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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28ARCHIMEDIS extra humidi ſuperficiem, axem habetin perpendiculari
per _k_:
& propter ea, quæ ſuperius dicta ſunt, centrum gra-
uitatis ipſius eſt in linea n _k_, quod ſitr;
totius autem por-
tionis centrum grauitatis eſt in linea f t, inter _k_ &
f, quod
ſit x.
reliquæ ergo figuræ, eius ſcilicet, quæ eſt in humido,
centrum erit in rectalinea r x producta ad partes x;
& aſ-
16[Figure 16] ſumpta ex ea linea quadam, quæ ad x r eandem habeat pro
portionem, quam grauitas portionis, quæ eſt extra humi-
dum, ad grauitatem figuræ, quæ in humido.
Sit autem o
centrum dictæ figuræ:
& per o perpendicularis ducatur
l o.
Feretur ergo grauitas portionis quidem, quæ eſt ex-
tra humidum, per rectam r l deorſum;
figuræ autem, quæ
in humido, per rectam o l ſurſum.
non manet igitur flgu-
ra;
ſed partes eius, quæ ſuntad h, deorſum ferẽtur; & quæ
ad e ſurſum.
atque hoc ſemper erit, donec f t ſecundum
perpendicularem fiat.
COMMENTARIVS.
ITAQVE figura, quæ extra humidi ſuperficiem,
11A axem habet in perpendiculari per _k_.
]
D_vcatvr_ enim b c, quæ ſecet lineam n k in m: ipſa uero
n k circunferentiam a b c d ſecet in g.
eodem modo, quo ſupra,

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