Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
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<
text
>
<
front
>
<
section
>
<
p
id
="
N107A6
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type
="
main
">
<
s
id
="
N107B2
">
<
pb
xlink:href
="
026/01/016.jpg
"/>
culo: </
s
>
<
s
id
="
N107BC
">tempora, quibus percurruntur perpendiculum, & linea plani
<
lb
/>
inclinati, ſunt vt lineæ; ſpatia autem, quæ in prædictis lineis acqui
<
lb
/>
runtur æqualibus temporibus, ſunt vt motus, id eſt, vt lineæ per
<
lb
/>
mutando, vt patet ex dictis. </
s
>
</
p
>
<
p
id
="
N107C6
"
type
="
main
">
<
s
id
="
N107C8
">4. Ex his concludo, neceſſariò per plana omnia eiuſdem altitu
<
lb
/>
dinis acquiri eandem velocitatem, quantumuis aſſumantur longiſ
<
lb
/>
ſima, modò ſcilicet perpendicula ſint ſemper parallela. </
s
>
<
s
id
="
N107CF
">Hinc habes
<
lb
/>
apud Galileum, per omnes chordas circuli erecti deſcenſum fieri
<
lb
/>
æqualibus temporibus. </
s
>
<
s
id
="
N107D6
">Vires, quæ ſuſtinent pondus in plano in
<
lb
/>
clinato per lineam plano
<
expan
abbr
="
parallelã
">parallelam</
expan
>
, ſunt ad eas, quæ ſuſtinent in per
<
lb
/>
pendiculo, vt lineæ permutando; quia debent adæquare impetum,
<
lb
/>
qui producitur, tùm in plano inclinato, tùm in perpendiculo. </
s
>
</
p
>
<
p
id
="
N107E4
"
type
="
main
">
<
s
id
="
N107E6
">5. Porrò minùs grauitat in ipſum planum inclinatum corpus gra
<
lb
/>
ue, quàm in planum horizontale: </
s
>
<
s
id
="
N107EC
">eſt autem grauitatio in horizonta
<
lb
/>
li, ſeu Tangente, ad grauitationem in inclinata, ſeu ſecante, vt ipſæ
<
lb
/>
lineæ permutando: quod facilè demonſtramus. </
s
>
<
s
id
="
N107F4
">Proiicitur mobile
<
lb
/>
faciliùs per inclinatum planum ſurſum, quàm per ipſam perpendi
<
lb
/>
cularem: patet experientia: cuius ratio eſt, quia minùs reſiſtit im
<
lb
/>
petus innatus, cuius minor eſt niſus per inclinatam, vt conſtat ex
<
lb
/>
dictis. </
s
>
</
p
>
<
p
id
="
N10800
"
type
="
main
">
<
s
id
="
N10802
">6. Illæ vires, quæ ſufficiunt ad eum motum ſurſum in perpendi
<
lb
/>
culo, ſufficiunt ad motum ſurſum in plano inclinato eiuſdem alti
<
lb
/>
tudinis: </
s
>
<
s
id
="
N1080A
">quia illæ vires ſufficiunt ad aſcenſum, quæ acquiruntur in
<
lb
/>
toto deſcenſu: ſed in deſcenſu inclinatæ, & perpendiculi acquirun
<
lb
/>
tur vires æquales, id eſt, velocitas æqualis, vt dictum eſt ſuprà. </
s
>
<
s
id
="
N10812
">Om
<
lb
/>
nia puncta plani inclinati rectilinei, imò & horizontalis, ſunt di
<
lb
/>
uerſæ inclinationis: in iis tamen planis inclinatis quæ vulgò aſſu
<
lb
/>
muntur, non mutatur ſenſibiliter inclinatio. </
s
>
</
p
>
<
p
id
="
N1081C
"
type
="
main
">
<
s
id
="
N1081E
">7. Hinc minùs deſtruitur impetus in plano inclinato ſurſum,
<
lb
/>
quàm in perpendiculo; </
s
>
<
s
id
="
N10824
">quia diutiùs durat: </
s
>
<
s
id
="
N10828
">cùm enim minùs ac
<
lb
/>
quiratur in deſcenſu, vt dictum eſt, minùs etiam deſtruitur in aſ
<
lb
/>
cenſu: </
s
>
<
s
id
="
N10830
">hinc accedit propriùs hic motus ad æquabilem: </
s
>
<
s
id
="
N10834
">in eodem
<
lb
/>
plano rectilineo poteſt eſſe aſcenſus, & deſcenſus, versùs eandem
<
lb
/>
partem: </
s
>
<
s
id
="
N1083C
">tale eſſet planum horizontale, in cuius vnico tantùm pun
<
lb
/>
cto nulla eſt inclinatio: in quolibet puncto huius plani eſt ſingu
<
lb
/>
laris inclinatio, vt patet, quæ eſt ad perpendiculum, vt Tangens ad
<
lb
/>
ſecantem éſtque eadem proportio motuum. </
s
>
</
p
>
<
p
id
="
N10846
"
type
="
main
">
<
s
id
="
N10848
">8. Corpus graue in ſuperficie quadrantis caua, deorſum cadit
<
lb
/>
motu naturaliter accelerato; </
s
>
<
s
id
="
N1084E
">quia ſingulis inſtantibus accedit nouus </
s
>
</
p
>
</
section
>
</
front
>
</
text
>
</
archimedes
>