Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 491
>
Scan
Original
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 491
>
page
|<
<
of 491
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N15AC3
">
<
p
id
="
N165CE
"
type
="
main
">
<
s
id
="
N165D0
">
<
pb
pagenum
="
86
"
xlink:href
="
026/01/118.jpg
"/>
<
emph
type
="
italics
"/>
est maius alio
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N165E4
">patet, quia æqualia ſunt æqualibus temporibus per Th.
<
lb
/>
20. igitur inæqualibus inæqualia iuxta rationem temporum; item ſpa
<
lb
/>
tium, quod idem percurritur minori tempore minus eſt. </
s
>
</
p
>
<
p
id
="
N165ED
"
type
="
main
">
<
s
id
="
N165EF
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
24.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N165FB
"
type
="
main
">
<
s
id
="
N165FD
">
<
emph
type
="
italics
"/>
Tempus quo maius ſpatium percurritur eodem motu æquabili, eſt maius eò
<
lb
/>
quò minus conficitur iuxta rationem ſpatiorum:
<
emph.end
type
="
italics
"/>
Si enim ſpatia ſunt vt tem
<
lb
/>
pora, igitur tempora ſunt vt ſpatia; item tempus, quo minus ſpatium
<
lb
/>
percurritur eſt minus co, quo maius. </
s
>
</
p
>
<
p
id
="
N1660C
"
type
="
main
">
<
s
id
="
N1660E
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
25.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1661A
"
type
="
main
">
<
s
id
="
N1661C
">
<
emph
type
="
italics
"/>
Spatium, quod conficitur motu velociore, eſt maius eo, quod percur
<
lb
/>
ritur æquali certè tempore, ſed tardiore motu,
<
emph.end
type
="
italics
"/>
vt conſtat per def. </
s
>
<
s
id
="
N16626
">2. l. 1.
<
lb
/>
imò eſt maius iuxta rationem velocitatis maioris, item eſt minus iuxta
<
lb
/>
rationem tarditatis maioris. </
s
>
</
p
>
<
p
id
="
N1662F
"
type
="
main
">
<
s
id
="
N16631
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
26.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1663D
"
type
="
main
">
<
s
id
="
N1663F
">
<
emph
type
="
italics
"/>
Tempus, quo conficitur ſpatium æquale ſed uelociore motu, est minus eo
<
lb
/>
quo conficitur tardiore
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1664A
">Probatur per def.2. & per Th.22. idque in ratio
<
lb
/>
ne velocitatum permutando; item tempus quo conficitur ſpatium æqua
<
lb
/>
le tardiore motu eſt maius eo, quo conficitur velociore, patet. </
s
>
</
p
>
<
p
id
="
N16652
"
type
="
main
">
<
s
id
="
N16654
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
27.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N16660
"
type
="
main
">
<
s
id
="
N16662
">
<
emph
type
="
italics
"/>
Si datum mobile eodem motu æquabili duo percurrat ſpatia, tempora mo
<
lb
/>
tuum erunt vt ſpatia, & viciſſim ſpatia vt tempora.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
N1666B
"> Probatur per Th.
<
lb
/>
24. & 23. </
s
>
</
p
>
<
p
id
="
N16671
"
type
="
main
">
<
s
id
="
N16673
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
28.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1667F
"
type
="
main
">
<
s
id
="
N16681
">
<
emph
type
="
italics
"/>
Si idem mobile temporibus æqualibus percurrat duo ſpatia motu æquabili,
<
lb
/>
ſed inæquali velocitate; </
s
>
<
s
id
="
N16689
">ſpatia erunt vt velocitates, & hæ vt illa; </
s
>
<
s
id
="
N1668D
">imò ſi
<
lb
/>
ſpatia ſunt vt velocitates, tempora erunt æqualia
<
emph.end
type
="
italics
"/>
; pater etiam per
<
lb
/>
Th.25. </
s
>
</
p
>
<
p
id
="
N16698
"
type
="
main
">
<
s
id
="
N1669A
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
29.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N166A6
"
type
="
main
">
<
s
id
="
N166A8
">
<
emph
type
="
italics
"/>
Si percurrantur à mobili æqualia ſpatia, ſed inæquali velocitate, ipſæ ve
<
lb
/>
locitates erunt in ratione permutata temporum, ideſt maior velocitas reſpon
<
lb
/>
debit minori tempori, & minor maiori
<
emph.end
type
="
italics
"/>
; Probatur per Th.23. </
s
>
</
p
>
<
p
id
="
N166B5
"
type
="
main
">
<
s
id
="
N166B7
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
30.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N166C3
"
type
="
main
">
<
s
id
="
N166C5
">
<
emph
type
="
italics
"/>
Si duo mobilia mouentur motu æquabili, ſed inæquali velocitate, & inæqua
<
lb
/>
libus temporibus, ſpatia ſunt in ratione compoſita ex ratione temporum, & ex
<
lb
/>
ratione velocitatum,
<
emph.end
type
="
italics
"/>
ſi enim æqualia ſint tempora, ſpatia erunt vt velo
<
lb
/>
citates per Th.25. ſi æquales ſint velocitates, ſpatia erunt vt tempora, per
<
lb
/>
Th.29. igitur ſi nec æquales velocitates, nec æqualia tempora, erit ratio
<
lb
/>
ſpatiorum compoſita ex ratione temporum, & ex ratione velocitatum;
<
lb
/>
ſit ratio temporum 3/2 ratio velocitatum 2/3 compoſita ex vtraque erit 6/2
<
lb
/>
ſeu 3. vt conſtat ex ipſis elementis. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>