Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 303
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N10019
">
<
p
id
="
N16653
"
type
="
main
">
<
s
id
="
N16664
">
<
pb
pagenum
="
217
"
xlink:href
="
005/01/225.jpg
"/>
di iuxta progreſſum axis, ac circuli maioris,
<
expan
abbr
="
ſimulq.
">ſimulque</
expan
>
tardius
<
lb
/>
rotari quàm ille, minus ſpatium eodem tempore tranſmit
<
lb
/>
tendo in ſua minori circumuolutione:
<
expan
abbr
="
proindeq.
">proindeque</
expan
>
per talem
<
lb
/>
rotationem, rectam quandam lineam deſcribit maiorem,
<
lb
/>
quam ſit eius circunferentia propria. </
s
>
<
s
id
="
N1667C
">E contra verò, nam
<
lb
/>
cum circulus maior mouetur ad motum minoris, magis par
<
lb
/>
ticipat de latione circulari, quàm recta. </
s
>
<
s
id
="
N16683
">Siquidem, cogitur
<
lb
/>
citius moueri circulariter quàm rectà, cum eodem tempo
<
lb
/>
re maiorem ambitum, quàm circulus minor, æqualemque
<
lb
/>
rectam debeat percurrere:
<
expan
abbr
="
ideoq.
">ideoque</
expan
>
minorem rectam in ſua
<
lb
/>
circumuolutione deſcribit, quàm ſit eiuſmet circumſerentia
<
lb
/>
qua illam attingit. </
s
>
<
s
id
="
N16694
">Demum quia ſi circulus ex ſe, & inde
<
lb
/>
pendenter ab alio duplici hac latione feratur, ſiue maior ſit,
<
lb
/>
ſiue minor, ſemper æquè de vtraque participat. </
s
>
<
s
id
="
N1669B
">Etenim tan
<
lb
/>
tum rectà progreditur quantum rotatur, nec aliunde rapi
<
lb
/>
tur, aut detinetur, vt magis vna quàm altera latione dimo
<
lb
/>
ueatur. </
s
>
<
s
id
="
N166A4
">Quo fit vt linea quam ſuper planum deſcribit, æqua
<
lb
/>
lis ſit propriæ circumferentiæ eique ſecundum omnes par
<
lb
/>
tes commenſurata. </
s
>
</
p
>
<
p
id
="
N166AB
"
type
="
main
">
<
s
id
="
N166AD
">Verum vt non ſolum cauſa tam admirabilis effectus, ſed
<
lb
/>
etiam modus quo ipſe ab illa procedit expreſſius innote
<
lb
/>
ſcat, ac difficultas vltimò propoſita ex directo penitus eua
<
lb
/>
datur, vlterius dicendum eſt, circulum delatum non minus
<
lb
/>
ac deferentem, omnia ac ſingula puncta, quæ ſunt in linea re
<
lb
/>
cta ſuper quam fertur per totidem puncta propria ſucceſſi
<
lb
/>
uè attingere; ita vt in quolibet inſtanti per nouum punctum
<
lb
/>
ſuæ peripheriæ attingat nouum punctum plani. </
s
>
<
s
id
="
N166C0
">Etenim cum
<
lb
/>
planum à circulo attingatur per puncta, quæ ſunt extremita
<
lb
/>
tes diametrorum, & vterque circulus ex infinitis diametris
<
lb
/>
conſtet; imò diametri circuli maioris includant diametros
<
lb
/>
minoris; tot erunt puncta terminatiua diametrorum in cir
<
lb
/>
culo minori, quot ſunt in maiori, ſiue delato per quæ ſimili
<
lb
/>
ter omnia puncta ſui plani valebit attingere. </
s
>
</
p
>
<
p
id
="
N166CF
"
type
="
main
">
<
s
id
="
N166D1
">Rurſus dicendum eſt tam circulum deferentem, quàm
<
lb
/>
circulum delatum omnes, ac ſingulas partes diuiſibiles, quę
<
lb
/>
ſunt in eadem linea plani per totidem partes ſuas ſucceſſiuè </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>