Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
chap
id
="
N270EE
">
<
pb
pagenum
="
443
"
xlink:href
="
026/01/479.jpg
"/>
<
figure
id
="
id.026.01.479.1.jpg
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xlink:href
="
026/01/479/1.jpg
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number
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37
"/>
<
p
id
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<
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<
emph
type
="
center
"/>
APPENDIX QVARTA.
<
emph.end
type
="
center
"/>
</
s
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</
p
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id
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type
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<
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<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
DE PRINCIPIO PHYSICO
<
lb
/>
Rationis duplicatæ Phyſicæ.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N2AA7C
"
type
="
main
">
<
s
id
="
N2AA7E
">VIx credi poteſt quam multis effectibus naturalibus hæc
<
lb
/>
duplicata ratio affigatur, aliquos curſim indicabo vt ve
<
lb
/>
rum germanumque illius principium ſtatuatur. </
s
>
</
p
>
<
p
id
="
N2AA85
"
type
="
main
">
<
s
id
="
N2AA87
">1. In motu recto naturaliter accelerato, decurſa ſpatia
<
lb
/>
ſunt in ratione duplicata temporum, id eſt vt temporum
<
lb
/>
quadrata; dixi in motu recto, tùm eo, qui fit deorſum in perpendiculo,
<
lb
/>
tùm eo, qui fit in plano inclinato. </
s
>
</
p
>
<
p
id
="
N2AA91
"
type
="
main
">
<
s
id
="
N2AA93
">2. Si iaciantur lapides inæqualis ponderis à potentia toto niſu agente
<
lb
/>
& eodem arcu, lapides ſunt in ratione duplicata inflictorum ictuum. </
s
>
</
p
>
<
p
id
="
N2AA98
"
type
="
main
">
<
s
id
="
N2AA9A
">3. Si impingantur ſudes inæquales eodem brachiorum arcu, pondera
<
lb
/>
ſunt in ratione duplicata ictuum. </
s
>
</
p
>
<
p
id
="
N2AA9F
"
type
="
main
">
<
s
id
="
N2AAA1
">4. Si malleus impingatur diuerſo arcu ab eadem potentia, arcus ſunt
<
lb
/>
in ratione duplicata ictuum. </
s
>
</
p
>
<
p
id
="
N2AAA6
"
type
="
main
">
<
s
id
="
N2AAA8
">5. Si ex tubis erectis eiuſdem cauitatis æqualique foramine fluat aqua,
<
lb
/>
longitudines tuborum ſunt in ratione duplicata quantitatum aquæ, quæ
<
lb
/>
ex tubis æquali tempore fluunt. </
s
>
</
p
>
<
p
id
="
N2AAAF
"
type
="
main
">
<
s
id
="
N2AAB1
">6. Similiter ſi ex ſiphonibus fluat aqua æquali foramine, longitudines
<
lb
/>
ſiphonum ſunt in ratione duplicata quantitatum aquæ, &c. </
s
>
<
s
id
="
N2AAB6
">vt ſuprà. </
s
>
</
p
>
<
p
id
="
N2AAB9
"
type
="
main
">
<
s
id
="
N2AABB
">7. Si chordæ tenſæ eiuſdem longitudinis appendantur inæqualia pon
<
lb
/>
dera, hæc ſunt in ratione duplicata ſonorum in ratione acuti & grauis. </
s
>
</
p
>
<
p
id
="
N2AAC0
"
type
="
main
">
<
s
id
="
N2AAC2
">8. Si chordæ tenſæ ſint eiuſdem longitudinis & diuerſæ craſſitiei, ba
<
lb
/>
ſes ſunt in ratione duplicata ſonorum permutando. </
s
>
</
p
>
<
p
id
="
N2AAC7
"
type
="
main
">
<
s
id
="
N2AAC9
">9. Lumen ita propagatur vt lumina propagata ſub eodem angulo, &
<
lb
/>
cono ſint in ratione duplicata diſtantiarum permutando. </
s
>
</
p
>
<
p
id
="
N2AACE
"
type
="
main
">
<
s
id
="
N2AAD0
">10. Idem dico prorſus de propagatione ſonorum, immò auſim dicere
<
lb
/>
toti rei ſonorum familiariſſimam eſſe hanc rationem duplicatam. </
s
>
</
p
>
<
p
id
="
N2AAD5
"
type
="
main
">
<
s
id
="
N2AAD7
">11. In funependulis res eſt clariſſima; nam longitudines ſunt in ratio
<
lb
/>
ne duplicata temporum quibus vibrationes perficiuntur. </
s
>
</
p
>
<
p
id
="
N2AADD
"
type
="
main
">
<
s
id
="
N2AADF
">12. Non eſt omittendum quod in humana voce obſeruatur pro ratio
<
lb
/>
ne grauis & acuti, ſcilicet niſus eſſe in ratione duplicata
<
expan
abbr
="
ſonorũ
">ſonorum</
expan
>
. </
s
>
<
s
id
="
N2AAE8
">Omitto
<
lb
/>
infinita ferè alia quæ huic rationi duplicatæ ſubſunt, ſed iam principia
<
lb
/>
phyſica his effectibus quibus ineſt hæc ratio duplicata, tribuamus. </
s
>
</
p
>
<
p
id
="
N2AAEF
"
type
="
main
">
<
s
id
="
N2AAF1
">Primum caput & vndecimum hoc principio nituntur, eadem cauſa
<
lb
/>
æquali tempore æqualem effectum producit vnde illud; corpus graue
<
lb
/>
æqualibus temporibus æqualia acquirit velocitatis momenta, de quo lib.
<
lb
/>
2. Ex hoc principio demonſtrauimus in partibus temporis ſenſibilibus
<
lb
/>
ſpatia eſſe temporum quadrata. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>