Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[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.
[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.
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90ARCHIMEDIS _Quoniam igi_-
55[Figure 55] _tur portio con_-
_uertitur, ita ut_
_baſis humidum_
_non contingat_,
_axis cum ſuper_
_ficie eius faciet_
_angulum maio_-
_rem angulo g;_
_hoc est angulo_
_y:
& propter_-
_ea multo maio_-
_rem angulo χ_.
DEMONSTRATIO TERTIAE PARTIS.
HABEAT deinde portio ad humidum eam in graui-
tate proportionem, quam quadratũ x o habet ad quadra-
tum b d:
& in humidum demittatur adeo inclinata, ut ba-
ſis ipſius non con
56[Figure 56] tingat humidum.
Secta aũt ipſa per
axem plano ad hu
midi ſuperficiem
recto, ſolidi ſectio
ſit rectanguli co-
ni ſectio a p m l:
ſu
perficiei humidi
ſectio ſit i m:
axis
portionis, &
ſe-
ctionis diameter
b d:
ſeceturq; b d
ſicuti prius:
& du-
catur p n

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