Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

[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.

152FED. COMMANDINI da figura, & altera circumſcribatur ex cylindris, uel cylin-
dri portionibus, ſicuti dictum eſt, ita ut exceſſus, quo figu-
ra circumſcripta inſcriptam ſuperat, ſit ſolido g minor.
Itaque centrum grauitatis cylindri, uel cylindri portionis
q r eſt in linea p o; cylindri, uel cylindri portionis st cen-
trum in linea on; centrum u x in linea n m; y z in m b; η @
in 1k; λ μ in K h; & denique ν π centrum in h d. ergo figu-

105[Figure 105] ræ inſcriptæ centrum eſt in linea p d. Sitautem ρ: & iun-
cta ρ e protendatur, ut cum linea, quæ à pũctoc ducta fue-
rit axi æquidiſtans, conueniat in σ. erit σ ζ ad ρ e, ut c d
ad d f: & conus, ſeu coni portio ad exceſſum, quo circum-
ſcripta figura inſcriptam ſuperat, habebit maiorem pro-
portionem, quàm σ ζ ad ρ e. ergo ad partem exceſſus, quæ
intra ipſius ſuperficiem comprehenditur, multo maiorem
proportionem habebit. habeat eam, quam τ ρ ad ρ e.

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