Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 252
>
121
122
123
124
125
126
127
128
129
130
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 252
>
page
|<
<
of 252
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
subchap1
>
<
p
type
="
main
">
<
s
id
="
id.001602
">
<
pb
xlink:href
="
035/01/141.jpg
"
pagenum
="
101
"/>
<
emph
type
="
italics
"/>
initium eſt motus. </
s
>
<
s
id
="
id.001603
">Plurimum itaque confert ad motus facilitatem,
<
lb
/>
vt tum axis, tum rota intus ſint læuißima, vnde aurigæ axungia
<
lb
/>
( quæ inde nomen traxit ) ipſa inungunt.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
id.001604
">Quod parua ſui.]
<
emph
type
="
italics
"/>
Prima cauſa eſt facilitatis motus ſuper plano
<
lb
/>
in rotundis de modico contactu in omni ſui poſitione. </
s
>
<
s
id
="
id.001605
">Contactus
<
lb
/>
enim multa parte ſui facit hærere, & ſimul eſſe ea, quæ ſeſe ſic con
<
lb
/>
tingunt, & quidem tantò magis, quantò maior eſt hic contactus.
<
lb
/>
</
s
>
<
s
id
="
id.001606
">quò igitur erit minor, eò minus hærere, citiuſque diuelli faciet. </
s
>
<
s
id
="
id.001607
">Mul
<
lb
/>
ta autem præter rotunda vt triangulum æquilaterum, & tetraë
<
lb
/>
dron planum in puncto contingere poſſunt, ſed non in omni ſui poſi
<
lb
/>
tione, vt cum ſecundum vnam ſui aream ſuperiacent: at rotunda
<
lb
/>
ſiue ſphæra ſit, ſiue circulus planum in vno puncto quouis modo ſe
<
lb
/>
cundum curuaturam poſita attingunt. </
s
>
<
s
id
="
id.001608
">quod demonſtratum eſt de
<
lb
/>
illo quidem à Theodoſ. prop. 2. lib. 1. de Sphær. de hoc vero ab Eucli
<
lb
/>
de prop. 16. lib. 3.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
id.001610
">Et quia non off.]
<
emph
type
="
italics
"/>
Secunda cauſa eſt de occurſantibus, quæ
<
lb
/>
rurſus cum minimam partem rotundorum attingant, & atterant,
<
lb
/>
minus impediunt, quam quæ plus attingunt, pluribuſque occurſant.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
id.001611
">Diſtat enim angulus.]
<
emph
type
="
italics
"/>
Cum rotundum incumbit plano ad
<
lb
/>
omnes rectas à quibus tangitur in ipſo plano angulos facit contin
<
lb
/>
gentiæ, quorum ſinguli quia ſunt minores quouis acuto angulo re
<
lb
/>
ctilineo, vt eſt demonſtratum prop. 16. lib. 3. </
s
>
<
s
>procliues ſunt maxime
<
lb
/>
ad motum. </
s
>
<
s
id
="
id.001612
">Latus enim curuum anguli vnius contactus ſemotum
<
lb
/>
quidem eſt à plano: ſed parum propter anguli anguſtiam. </
s
>
<
s
id
="
id.001613
">Et ſic non
<
lb
/>
offenſat, & proximum eſt caſui. </
s
>
<
s
id
="
id.001614
">Hinc etiam vna cauſa colligi po
<
lb
/>
teſt, cur rotunda maiora facilius moueantur minoribus, quod
<
lb
/>
angulos ſui contactus tantò acutiores faciunt: quantò ſunt maiora,
<
lb
/>
vt in libello noſtro de angulo contactus demonſtrauimus.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
id.001615
">At ſi rectilineum eſſet.]
<
emph
type
="
italics
"/>
Difficultas motus in mobili pendet
<
lb
/>
ab eius internis aut externis. </
s
>
<
s
id
="
id.001616
">Interna eſt naturalis cuiuſque
<
expan
abbr
="
propẽſio
">propenſio</
expan
>
,
<
lb
/>
qua extra locum exiſtens, ſi liberum ſinatur mobile, ad
<
expan
abbr
="
eũ
">eum</
expan
>
per ſe fe
<
lb
/>
ratur. </
s
>
<
s
id
="
id.001617
">Atque vt ibi vi retineatur, eò tamen quodam motu occulto
<
lb
/>
tendit, vt graue deorſum, leue ſurſum, & ſemper ſecundum rectam
<
lb
/>
perpendicularem in qua eſt centrum grauitatis mobilis: aliò nun
<
lb
/>
quam, niſi vi contraria nixus ille vincatur, vt cum graue ſurſum:
<
lb
/>
aut leue deorſum: aut vtrumque ad latera propellitur. </
s
>
<
s
id
="
id.001618
">Itaque prima
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>