Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 30
31 - 42
[out of range]
>
<
1 - 30
31 - 42
[out of range]
>
page
|<
<
of 491
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N1A407
">
<
p
id
="
N1B523
"
type
="
main
">
<
s
id
="
N1B539
">
<
pb
pagenum
="
171
"
xlink:href
="
026/01/203.jpg
"/>
mixtus eſt per Th.44. dixi per ſe, nam fortè per accidens fieri poteſt, vt
<
lb
/>
iactus horizontalis habeat arcum aſcenſus, & deſcenſus. </
s
>
</
p
>
<
p
id
="
N1B544
"
type
="
main
">
<
s
id
="
N1B546
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
61.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1B552
"
type
="
main
">
<
s
id
="
N1B554
">
<
emph
type
="
italics
"/>
Hinc quò iactus propiùs accedit ad horizontalem ſeu verticalem, minùs
<
lb
/>
acquirit in eodem plano horizontali, ſcilicet in eo à cuius extremitate inci
<
lb
/>
pit iactus
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1B561
">probatur, quia cùm iactus verticalis nihil prorſus acqui
<
lb
/>
rat in horizontali plano per Theorema 60. certè quò propiùs ad illum
<
lb
/>
iactus inclinatus accedet, minùs acquiret; idem dico de iactu hori
<
lb
/>
zontali. </
s
>
</
p
>
<
p
id
="
N1B56B
"
type
="
main
">
<
s
id
="
N1B56D
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
62.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1B579
"
type
="
main
">
<
s
id
="
N1B57B
">
<
emph
type
="
italics
"/>
Hinc quò iactus longiùs recedit ab vtroque ſcilicet à verticali, & hori
<
lb
/>
zontali, plùs acquiret in eodem plano horizontali
<
emph.end
type
="
italics
"/>
; ſi enim quò plùs ac
<
lb
/>
cedit ad vtrumque, minùs acquirit, igitur plùs acquirit, quò plùs re
<
lb
/>
cedit. </
s
>
</
p
>
<
p
id
="
N1B58A
"
type
="
main
">
<
s
id
="
N1B58C
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
63.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1B598
"
type
="
main
">
<
s
id
="
N1B59A
">
<
emph
type
="
italics
"/>
Hinc iactus medius ſeu per inclinatam qua cum verticali, vel horizontali
<
lb
/>
facit angulum
<
emph.end
type
="
italics
"/>
45.
<
emph
type
="
italics
"/>
ſeu ſemirectum, eſt omnium maximus, id eſt plùs acqui
<
lb
/>
rit in eodem plano horizontali, quàm reliqui omnes
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1B5AD
">experientia certiſſima
<
lb
/>
eſt, ratio eſt quia ab horizontali & verticali maximè omnium diſtat;
<
lb
/>
igitur maximus eſt per Theorema 62. nec eſt vlla alia ratio geome
<
lb
/>
trica. </
s
>
</
p
>
<
p
id
="
N1B5B7
"
type
="
main
">
<
s
id
="
N1B5B9
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
64.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1B5C5
"
type
="
main
">
<
s
id
="
N1B5C7
">
<
emph
type
="
italics
"/>
Iactus qui æqualiter ab horizontali & verticali diſtant, ſunt æquales
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1B5D0
">
<
lb
/>
probatur, quia qua proportione ad horizontalem ſeu verticalem acce
<
lb
/>
dit iactus, in ea proportione minor eſt; </
s
>
<
s
id
="
N1B5D7
">igitur qui æqualiter acce
<
lb
/>
dunt in proportione æquali, minores ſunt; </
s
>
<
s
id
="
N1B5DD
">igitur æquales, quod mo
<
lb
/>
dica figura ob oculos ponet; </
s
>
<
s
id
="
N1B5E3
">ſit enim quadrans ABF, iactus verti
<
lb
/>
calis AB, horizontalis AF, medius AD, hic maximus omnium
<
lb
/>
erit; at verò AC, & AE, qui ab AD æqualiter diſtant, erunt æ
<
lb
/>
quales. </
s
>
</
p
>
<
p
id
="
N1B5ED
"
type
="
main
">
<
s
id
="
N1B5EF
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Scholium.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1B5FB
"
type
="
main
">
<
s
id
="
N1B5FD
">Obſeruabis primò, omitti à me multa quæ ſuis Parabolis aliqui af
<
lb
/>
fingunt, quæ nec experimentis, nec vllis rationibus conſen
<
lb
/>
tiunt. </
s
>
</
p
>
<
p
id
="
N1B604
"
type
="
main
">
<
s
id
="
N1B606
">Secundò rationem iſtorum omnium Theorematum; </
s
>
<
s
id
="
N1B60A
">quia quo iactus
<
lb
/>
ad verticalem propiùs accedit, maior quantitas impetus deſtruitur
<
lb
/>
v.g. in AD plùs quàm in GK; </
s
>
<
s
id
="
N1B614
">igitur citò deficiunt vires huic iactui; </
s
>
<
s
id
="
N1B618
">
<
lb
/>
adde quod acquirit in verticali, quod alius acquirit in horizontali; </
s
>
<
s
id
="
N1B61D
">at </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>