Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[31.] LEMMAI.
Page: 47 (18)
[32.] LEMMA II.
Page: 48
[33.] LEMMA III.
Page: 49 (19)
[34.] LEMMA IIII.
Page: 50
[35.] PROPOSITIO VII.
Page: 54
[36.] PROPOSITIO VIII.
Page: 56
[37.] COMMENTARIVS.
Page: 60
[38.] PROPOSITIO IX.
Page: 63 (26)
[39.] COMMENTARIVS.
Page: 67 (22)
[40.] PROPOSITIO X.
Page: 68
[41.] COMMENTARIVS.
Page: 71 (30)
[42.] LEMMA I.
Page: 73 (37)
[43.] LEMMA II.
Page: 74
[44.] LEMMA III.
Page: 76
[45.] LEMMA IIII.
Page: 77 (25)
[46.] LEMMA V.
Page: 78
[47.] LEMMA VI.
Page: 81 (35)
[48.] II.
Page: 83 (36)
[49.] III.
Page: 83 (36)
[50.] IIII.
Page: 84
[51.] V.
Page: 84
[52.] DEMONSTRATIO SECVNDAE PARTIS.
Page: 85 (37)
[53.] COMMENTARIVS.
Page: 87 (38)
[54.] DEMONSTRATIO TERTIAE PARTIS.
Page: 90
[55.] COMMENTARIVS.
Page: 93 (41)
[56.] DEMONSTRATIO QVARTAE PARTIS.
Page: 97 (43)
[57.] DEMONSTRATIO QVINT AE PARTIS.
Page: 99 (44)
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
Page: 102
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
Page: 105
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
Page: 105
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15120DE CENTRO GRAVIT. SOLID. beat eam, quam χ τ ad τ f. erit diuidendo ut χ f ad f τ, ita fi
gura ſolida inſcripta ad partem exceſſus, quæ eſtintra pyra
midem. Cum ergo à pyramide, cuius grauitatis cẽtrum eſt
punctum f, ſolida figura inſcripta auferatur, cuius centrũ
τ: reliquæ magnitudinis conſtantis ex parte exceſſus, quæ
eſtintra pyramidem, centrum grauitatis erit in linea τ f
producta, & in puncto χ. quod fieri non poteſt. Sequitur
igitur, ut centrum grauitatis pyramidis in linea d e; hoc
eſt in eius axe conſiſtat.
Sit conus, uel coni portio, cuius axis b d: & ſecetur plano
per axem, ut ſectio ſit triangulum a b c. Dico centrum gra
uitatis ipſius eſſe in linea b d. Sit enim, ſi fieri poteſt, centrũ
104[Figure 104] e: perq; e ducatur e f axi æquidiſtans: & quam propor-
tionem habet c d ad d f, habeat conus, uel coni portio ad
ſolidum g. inſcribatur ergo in cono, uel coni portione

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