Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
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<
text
>
<
front
>
<
section
>
<
p
id
="
N10EF6
"
type
="
main
">
<
s
id
="
N10F06
">
<
pb
xlink:href
="
026/01/027.jpg
"/>
pore cum minore perficitur: ratio eſt: </
s
>
<
s
id
="
N10F0E
">quia, cùm ferè decurrantur
<
lb
/>
arcus iuxta ſubtenſarum proportionem, certè cùm ſubtenſæ om
<
lb
/>
nes æquali tempore decurrantur, idem ferè fit in ipſis arcubus: </
s
>
<
s
id
="
N10F16
">dixi
<
lb
/>
ferè: </
s
>
<
s
id
="
N10F1C
">nam reuerà minor vibratio citiùs, maior tardiùs perficitur, vt
<
lb
/>
<
expan
abbr
="
cõſtat
">conſtat</
expan
>
<
expan
abbr
="
experiẽtia
">experientia</
expan
>
: neque deeſt ratio, quam in
<
expan
abbr
="
analyticcã
">analyticam</
expan
>
remittimus. </
s
>
</
p
>
<
p
id
="
N10F2D
"
type
="
main
">
<
s
id
="
N10F2F
">4. Non aſcendit funependulum ad eam altitudinem, ex qua priùs
<
lb
/>
deſcenderat: </
s
>
<
s
id
="
N10F35
">clara eſt experientia: </
s
>
<
s
id
="
N10F39
">neque ratio tantùm petitur ab
<
lb
/>
aëris reſiſtentia; </
s
>
<
s
id
="
N10F3F
">tam enim reſiſtit deſcenſui, quàm aſcenſui; </
s
>
<
s
id
="
N10F43
">ſed ex
<
lb
/>
eo, quòd ſingulis inſtantibus ſit quædam pugna, inter impetum in
<
lb
/>
natum, & alium determinatum ad arcum ſurſum: </
s
>
<
s
id
="
N10F4B
">quippe impetus
<
lb
/>
innatus ad totum deſcenſum, ſed nullo modo ad aſcenſum con
<
lb
/>
currit: </
s
>
<
s
id
="
N10F53
">hinc in maiori vibratione imminuitur motus, & ſpatium in
<
lb
/>
maiori proportione, quàm in minori; </
s
>
<
s
id
="
N10F59
">quia in hac lineæ ſingulæ aſ
<
lb
/>
cenſus quaſi
<
expan
abbr
="
totidẽ
">totidem</
expan
>
inclinatæ ſunt inclinatiores; in illa verò minùs. </
s
>
</
p
>
<
p
id
="
N10F63
"
type
="
main
">
<
s
id
="
N10F65
">5. Hinc diu vibratur funependulum per minores arcus, quippe
<
lb
/>
facilis eſt aſcenſus per planum proximè ad horizontale accedens: </
s
>
<
s
id
="
N10F6B
">
<
lb
/>
hinc etiam in funependulo maiori diutiùs durant huiuſmodi vi
<
lb
/>
brationes, idque in arcubus paulò maioribus; </
s
>
<
s
id
="
N10F72
">quia ſubtenſæ his
<
lb
/>
arcubus ſunt inclinatiores: </
s
>
<
s
id
="
N10F78
">hinc refutabis eos, qui dicunt, vibra
<
lb
/>
tiones funependuli in vacuo fore perpetuas: </
s
>
<
s
id
="
N10F7E
">arcus vibratio
<
lb
/>
nis aſcenſus fit motu naturaliter retardato, ſed per imminu
<
lb
/>
tiones inæquales; quia pro diuerſa inclinatione plani diuerſimodè
<
lb
/>
retardatur. </
s
>
</
p
>
<
p
id
="
N10F88
"
type
="
main
">
<
s
id
="
N10F8A
">6. Vltimum punctum impetus acquiſitus acquiſitum in deſcenſu,
<
lb
/>
nullo modo ad deſcenſum concurrit, ſed ad aſcenſum, vnico tan
<
lb
/>
tùm inſtanti; </
s
>
<
s
id
="
N10F92
">quippe eſt omnium imperfectiſſimum; </
s
>
<
s
id
="
N10F96
">quod reuerà ſi
<
lb
/>
eſſet eiuſdem perfectionis cum innato, aſcenſus æqualis eſt deſcen
<
lb
/>
ſui: </
s
>
<
s
id
="
N10F9E
">ſi ſint funependula inæqualia, vibrationes non ſunt æquè diu
<
lb
/>
turnæ: ratio eſt: </
s
>
<
s
id
="
N10FA4
">quia, ſi aſſumantur, v.g. duo quadrantes inæquales,
<
lb
/>
ſunt ejuſdem inclinationis; igitur minor citiùs percurritur. </
s
>
</
p
>
<
p
id
="
N10FAA
"
type
="
main
">
<
s
id
="
N10FAC
">7. Porrò tempora vibrationum ſunt in ratione ſubduplicata ar
<
lb
/>
cuum ſimilium, vel chordarum ſimilium, vel radiorum; </
s
>
<
s
id
="
N10FB2
">id eſt, vt
<
lb
/>
radices ſpatiorum ſimilium: </
s
>
<
s
id
="
N10FB8
">verbi gratia, ſit quadruplus alterius,
<
lb
/>
tempus vibrationis maioris eſt duplum temporis vibrationis mino
<
lb
/>
ris; </
s
>
<
s
id
="
N10FC0
">quod ita intelligendum eſt, vt hæc proportio conſideretur in
<
lb
/>
partibus temporis ſenſibilibus, vt iam dictum eſt de motu natura
<
lb
/>
liter accelerato deorſum in perpendiculo, & in planis inclinatis;
<
lb
/>
nam progreſſio arithmetica; aſſumpta in ſingulis inſtantibus, tran
<
lb
/>
ſit in hanc, ſi aſſumantur partes temporis ſenſibiles, quarum ſingu
<
lb
/>
læ infinitis ferè conſtent inſtantibus. </
s
>
</
p
>
</
section
>
</
front
>
</
text
>
</
archimedes
>