Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 252
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
subchap1
>
<
p
type
="
main
">
<
s
id
="
id.002451
">
<
pb
xlink:href
="
035/01/200.jpg
"
pagenum
="
160
"/>
<
emph
type
="
italics
"/>
&
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">g</
foreign
>
<
emph
type
="
italics
"/>
obtuſi. </
s
>
<
s
id
="
id.002453
">Concipiamus ergo
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a</
foreign
>
<
emph
type
="
italics
"/>
tan
<
emph.end
type
="
italics
"/>
<
lb
/>
<
figure
id
="
id.035.01.200.1.jpg
"
xlink:href
="
035/01/200/1.jpg
"
number
="
74
"/>
<
lb
/>
<
emph
type
="
italics
"/>
quam formicam ambulantem proprio
<
lb
/>
motu verſus
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b,</
foreign
>
<
emph
type
="
italics
"/>
vt &
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b</
foreign
>
<
emph
type
="
italics
"/>
proprio iti
<
lb
/>
dem motu verſus
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a. </
foreign
>
<
emph
type
="
italics
"/>
</
s
>
<
s
>Tum ipſum
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a b</
foreign
>
<
lb
/>
<
emph
type
="
italics
"/>
latus verſus
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">g d,</
foreign
>
<
emph
type
="
italics
"/>
eadem etiam celerita
<
lb
/>
te moueri ſeruando paralleliſmum, cum
<
lb
/>
ipſo
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">g d</
foreign
>
<
emph
type
="
italics
"/>
quouſque coniungatur ei. </
s
>
<
s
id
="
id.002454
">Ad
<
lb
/>
huius autem
<
expan
abbr
="
motũ
">motum</
expan
>
moueri etiam
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a</
foreign
>
<
emph
type
="
italics
"/>
ver
<
lb
/>
ſus
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">g,</
foreign
>
<
emph
type
="
italics
"/>
&
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b</
foreign
>
<
emph
type
="
italics
"/>
verſus
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">d. </
foreign
>
<
emph
type
="
italics
"/>
Sicque
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a</
foreign
>
<
emph
type
="
italics
"/>
&
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b</
foreign
>
<
lb
/>
<
emph
type
="
italics
"/>
mouebuntur duobus motibus, vno per ſe:
<
lb
/>
altero per accidens. </
s
>
<
s
id
="
id.002455
">Et poſito quod mo
<
lb
/>
ueantur in Rhombo. </
s
>
<
s
id
="
id.002456
">Id eſt quod motus
<
lb
/>
illi ſint in ratione laterum quibus Rhombus continetur. </
s
>
<
s
id
="
id.002457
">Eſt autem
<
lb
/>
iſta certa, quia eſt ratio æqualitatis vt
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">i</
foreign
>
<
emph
type
="
italics
"/>
ad
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">i,</
foreign
>
<
emph
type
="
italics
"/>
& in eadem celerita
<
lb
/>
te, id eſt eodem tempore, non immeritò primum problema in medium
<
lb
/>
adducitur. </
s
>
<
s
id
="
id.002458
">quia ſi verum ſit, cauſam habet minimè vulgarem.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
id.002459
">Feratur enim.]
<
emph
type
="
italics
"/>
Prioris problematis
<
expan
abbr
="
veritatẽ
">veritatem</
expan
>
geometricè oſten
<
lb
/>
dit. </
s
>
<
s
id
="
id.002460
">Sit enim vt
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a</
foreign
>
<
emph
type
="
italics
"/>
proceſſerit per ſe vſque ad
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">e,</
foreign
>
<
emph
type
="
italics
"/>
&
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a b</
foreign
>
<
emph
type
="
italics
"/>
vſque ad
<
emph.end
type
="
italics
"/>
<
lb
/>
<
foreign
lang
="
el
">z</
foreign
>
:
<
emph
type
="
italics
"/>
tunc quia motus illi ſunt in ratione laterum Rhombi id eſt in ra
<
lb
/>
tione æqualitatis
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a e</
foreign
>
<
emph
type
="
italics
"/>
&
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a z</
foreign
>
<
emph
type
="
italics
"/>
erunt æquales. </
s
>
<
s
id
="
id.002461
">Perficiatur
<
expan
abbr
="
parallelogrammũ
">parallelo
<
lb
/>
grammum</
expan
>
prop. 31. lib. 1.
<
expan
abbr
="
nẽpè
">nempè</
expan
>
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a e q z. </
foreign
>
<
emph
type
="
italics
"/>
</
s
>
<
s
>Hoc erit ſimile toti
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a b d g. </
foreign
>
<
lb
/>
<
emph
type
="
italics
"/>
prop. 24. lib. 6. </
s
>
<
s
>Ergo per conu
<
expan
abbr
="
eiuſdẽ
">eiuſdem</
expan
>
prop. ſunt circa
<
expan
abbr
="
eandẽ
">eandem</
expan
>
<
expan
abbr
="
diametrũ
">diametrum</
expan
>
<
emph.end
type
="
italics
"/>
<
lb
/>
<
foreign
lang
="
el
">a q d,</
foreign
>
<
emph
type
="
italics
"/>
& ſic
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a</
foreign
>
<
emph
type
="
italics
"/>
duobus motibus motum prædictis delineauit
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a q</
foreign
>
<
lb
/>
<
emph
type
="
italics
"/>
cum
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a b</
foreign
>
<
emph
type
="
italics
"/>
peruenit ad
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">z h. </
foreign
>
</
s
>
<
s
>
<
emph
type
="
italics
"/>
proinde &
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a</
foreign
>
<
emph
type
="
italics
"/>
etiam delineauerit
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a d</
foreign
>
<
lb
/>
<
emph
type
="
italics
"/>
cum peruenerit
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a b</
foreign
>
<
emph
type
="
italics
"/>
ad
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">g d. </
foreign
>
<
emph
type
="
italics
"/>
</
s
>
<
s
>Simili ratiocinatione conficitur
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b</
foreign
>
<
emph
type
="
italics
"/>
eo
<
lb
/>
dem tempore peragraſſe diametrum
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b g. </
foreign
>
<
emph
type
="
italics
"/>
</
s
>
<
s
>Eſt autem
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b g</
foreign
>
<
emph
type
="
italics
"/>
minor:
<
lb
/>
quam
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a d</
foreign
>
<
emph
type
="
italics
"/>
quia baſes ſunt duorum triangulorum
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">g a b,</
foreign
>
<
emph
type
="
italics
"/>
&
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a b d</
foreign
>
<
lb
/>
<
emph
type
="
italics
"/>
bina latera
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a g, a b</
foreign
>
<
emph
type
="
italics
"/>
binis
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a b, b d</
foreign
>
<
emph
type
="
italics
"/>
æqualia habentium. </
s
>
<
s
id
="
id.002463
">quia ſunt
<
lb
/>
latera eiuſdem Rhombi, & angulum
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a</
foreign
>
<
emph
type
="
italics
"/>
vtpote acutum minorem
<
lb
/>
angulo
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b</
foreign
>
<
emph
type
="
italics
"/>
vtpote obtuſo. </
s
>
<
s
id
="
id.002464
">Ergo prop. 24. lib. 1. baſis
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a d</
foreign
>
<
emph
type
="
italics
"/>
maior eſt
<
lb
/>
baſi
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b g. </
foreign
>
<
emph
type
="
italics
"/>
</
s
>
<
s
>Et ſic
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">a</
foreign
>
<
emph
type
="
italics
"/>
ab angulo acuto diſcedens ſuis motibus maiorem
<
lb
/>
in Rhombo lineam tranſit, quam
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
el
">b. </
foreign
>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
id.002465
">Licet & hoc.]
<
emph
type
="
italics
"/>
Hoc additur ad augendam ſecundi problematis
<
lb
/>
difficultatem. </
s
>
<
s
id
="
id.002466
">Rationi enim conſentaneum videtur, vt motum duo
<
lb
/>
bus motibus ſimul plus ſpatij conficiat: quam quod vno tantum.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
id.002467
">Neceſſe igitur.]
<
emph
type
="
italics
"/>
Nam parallelogramma quæ toti & inter ſe
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>