Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
>
<
text
>
<
front
>
<
section
>
<
p
id
="
N106E5
"
type
="
main
">
<
s
id
="
N10706
">
<
pb
xlink:href
="
026/01/015.jpg
"/>
quòd ſpatium motu æquabili decurſum reſpondet rectangulo; </
s
>
<
s
id
="
N1070E
">de
<
lb
/>
curſum verò motu retardato, reſpondet triangulo, ſubduplo rectan
<
lb
/>
guli: aſſumpto ſcilicet, æquali tempore. </
s
>
</
p
>
<
p
id
="
N10716
"
type
="
main
">
<
s
id
="
N10718
">9. Vites potentiæ proiicientis toto niſu reſpondent velocitati
<
lb
/>
acquiſitæ in toto deſcenſu corporis proiecti;
<
expan
abbr
="
tantũdem
">tantundem</
expan
>
enim
<
lb
/>
impetus in deſcenſu acquiritur, quantùm in aſcenſu deperditur. </
s
>
<
s
id
="
N10724
">
<
lb
/>
Impetus primo inſtanti, quo eſt, agit, ſi eſt aliquod impedimen
<
lb
/>
tum; </
s
>
<
s
id
="
N1072B
">eſt enim cauſa neceſſaria: </
s
>
<
s
id
="
N1072F
">primo inſtanti motus aliquid im
<
lb
/>
petus deſtruitur: </
s
>
<
s
id
="
N10735
">ſiue præceſſerit motus violentus, ſiue non præceſ
<
lb
/>
ſerit, corpus graue æquali motu deorſum cadit: </
s
>
<
s
id
="
N1073B
">reſiſtentia aëris eſt
<
lb
/>
quidem maior initio; ſed etiam ſunt maiores vires. </
s
>
</
p
>
<
figure
id
="
id.026.01.015.1.jpg
"
xlink:href
="
026/01/015/1.jpg
"
number
="
8
"/>
<
p
id
="
N10746
"
type
="
main
">
<
s
id
="
N10748
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
De motu in planis inclinatis.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N10753
"
type
="
main
">
<
s
id
="
N10755
">1. PLanum inclinatum eſt ſurſum, vel deorſum: </
s
>
<
s
id
="
N10759
">in hoc deſcen
<
lb
/>
dit corpus graue, niſi fortè retineatur ab aſperitate, vel pro
<
lb
/>
pria, vel ipſius plani: </
s
>
<
s
id
="
N10761
">impeditur autem motus naturalis in plano
<
lb
/>
prædicto, quia impeditur eius linea: </
s
>
<
s
id
="
N10767
">ideò eſt tardior hic motus in
<
lb
/>
plano inclinato, quàm in perpendiculari: </
s
>
<
s
id
="
N1076D
">in ea porrò proportione
<
lb
/>
eſt tardior, in qua perpendiculum eſt minus linea inclinata, eiuſdem
<
lb
/>
ſcilicet, altitudinis; </
s
>
<
s
id
="
N10775
">quippe eò tardior eſt, quò magis impeditur, &
<
lb
/>
magis impeditur, quò maius ſpatium decurrendum eſt, ad acqui
<
lb
/>
rendam eandem altitudinem: igitur eadem eſt proportio impe
<
lb
/>
dimenti, quæ ſpatij, &c. </
s
>
</
p
>
<
p
id
="
N1077F
"
type
="
main
">
<
s
id
="
N10781
">2. Hinc motus ſunt vt lineæ permutando: </
s
>
<
s
id
="
N10785
">hinc mobile deſcendit
<
lb
/>
per ſe in prædicto plano: </
s
>
<
s
id
="
N1078B
">licet enim motus impediatur, non tamen
<
lb
/>
<
expan
abbr
="
tous
">totus</
expan
>
, impetus, qui acquiritur in eodem plano eſt imperfectior ac
<
lb
/>
quiſito in perpendiculari in eadem proportione; </
s
>
<
s
id
="
N10796
">nam impetus ſunt
<
lb
/>
vt motus: </
s
>
<
s
id
="
N1079C
">hinc poteſt perfectio impetus imminui in infinitum, cùm
<
lb
/>
poſſit eſſe in infinitum linea magis, ac magis inclinata: igitur mo
<
lb
/>
tum imminui poſſe in infinitum, non tantùm ex vecte, ſed etiam
<
lb
/>
ex planis inclinatis haberi poteſt. </
s
>
</
p
>
<
p
id
="
N107A6
"
type
="
main
">
<
s
id
="
N107A8
">3. Hinc producit impetum imperfectiorem impetus acquiſitus
<
lb
/>
in hoc eodem plano, quàm acquiſitus in perpendiculari, æqualibus
<
lb
/>
ſcilicet temporibus, quia cauſa imperfectior imperfectiorem pro
<
lb
/>
ducit effectum: </
s
>
<
s
id
="
N107B2
">motus in plano inclinato deorſum eſt acceleratus
<
lb
/>
iuxta eandem proportionem, iuxta quam acceleratur in perpendi-</
s
>
</
p
>
</
section
>
</
front
>
</
text
>
</
archimedes
>