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.
< >
page |< < of 213 > >|
130FED. COMMANDINI
SIT cylindrus, uel cylindri po rtio a c: & plano per a-
xem ducto ſecetur;
cuius ſectio ſit parallelogrammum a b
c d:
& bifariam diuiſis a d, b c parallelogrammi lateribus,
per diuiſionum puncta e f planum baſi æquidiſtans duca-
tur;
quod faciet ſectionem, in cy lindro quidem circulum
æqualem iis, qui ſunt in baſibus, ut demonſtrauit Serenus
in libro cylindricorum, propoſitione quinta:
in cylindri
uero portione ellipſim æqualem, &
ſimilem eis, quæ ſunt
in oppoſitis planis, quod nos
86[Figure 86] demonſtrauimus in commen
tariis in librum Archimedis
de conoidibus, &
ſphæroidi-
bus.
Dico centrum grauita-
tis cylindri, uel cylindri por-
tionis eſſe in plano e f.
Si enĩ
fieri poteſt, fit centrum g:
&
ducatur g h ipſi a d æquidi-
ſtans, uſque ad e f planum.
Itaque linea a e continenter
diuiſa bifariam, erit tandem
pars aliqua ipſius k e, minor
g h.
Diuidantur ergo lineæ
a e, e d in partes æquales ipſi
k e:
& per diuiſiones plana ba
ſibus æquidiſtantia ducãtur.

erunt iam ſectiones, figuræ æ-
quales, &
ſimiles eis, quæ ſunt
in baſibus:
atque erit cylindrus in cylindros diuiſus: & cy
lindri portio in portiones æquales, &
ſimiles ipſi k f. reli-
qua ſimiliter, ut ſuperius in priſmate concludentur.

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index