Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
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<
text
>
<
front
>
<
section
>
<
p
id
="
N10454
"
type
="
main
">
<
s
id
="
N10456
">
<
pb
xlink:href
="
026/01/011.jpg
"/>
nem duplicatam temporum, cùm creſcat ſecundùm proportionem
<
lb
/>
temporum, etïam ex mente Galilei: </
s
>
<
s
id
="
N10460
">creſcit autem velocitas, vt im
<
lb
/>
petus; </
s
>
<
s
id
="
N10466
">effectus, ſcilicet, vt cauſa: </
s
>
<
s
id
="
N1046A
">idem dico de motu, ratione velo
<
lb
/>
citatis; </
s
>
<
s
id
="
N10470
">quippe motus ipſe eſt ſua velocitas: at verò ipſa ſpatia,
<
lb
/>
quæ decurruntur illo motu, ſi conſideretur crementum in inſtan
<
lb
/>
tibus, creſcunt iuxta progreſſionem arithmeticam ſimplicem,
<
lb
/>
id eſt, ſi primo inſtanti, acquiritur vnum ſpatium, ſecundo acquiri
<
lb
/>
tur vnum ſpatium, ſecundo acquiruntur duo, tertio 3. quarto 4. at
<
lb
/>
que ita deinceps. </
s
>
</
p
>
<
p
id
="
N1047E
"
type
="
main
">
<
s
id
="
N10480
">4. Hoc autem facilè poteſt
<
expan
abbr
="
demõſtrari
">demonſtrari</
expan
>
: </
s
>
<
s
id
="
N10488
">quia, cùm velocitas creſ
<
lb
/>
cat iuxta proportionem temporum, ſi primo inſtanti ſit vnus gradus
<
lb
/>
velocitatis, ſecundo erunt duo, tertio tres, at que ita deinceps: </
s
>
<
s
id
="
N10490
">igitur,
<
lb
/>
ſi mobile cum vno gradu velocitatis acquirit vnum ſpatium, certè
<
lb
/>
cum duobus acquiret duo ſpatia, cum tribus tria, atque ita dein
<
lb
/>
ceps: debet autem vera progreſſio crementorum aſſumi in ſingulis
<
lb
/>
inſtantibus, quia reuerà ſingulis inſtantibus phyſicis (nam de iis
<
lb
/>
loquor) noua fit huius crementi acceſſio. </
s
>
</
p
>
<
p
id
="
N1049E
"
type
="
main
">
<
s
id
="
N104A0
">5. Quia tamen inſtantia non ſunt ſenſibilia, vt Phyſicæ conſu
<
lb
/>
latur, quæ res ſenſibiles conſiderat, aſſumi debent partes temporis
<
lb
/>
ſenſibiles, in quibus reuerâ progreſſio ſpatiorum non eſt arithmeti
<
lb
/>
ca ſimplex; ſed tam propè accedit ad hanc numerorum imparium,
<
lb
/>
1. 3. 5. 7. &c. </
s
>
<
s
id
="
N104AC
">quam Galileus excogitauit, vt ſine ſcrupulo hæc aſ
<
lb
/>
ſumi poſſit: </
s
>
<
s
id
="
N104B2
">hinc ſpatia ſunt ferè vt temporum quadrata: dixi, ferè: </
s
>
<
s
id
="
N104B6
">
<
lb
/>
nam eſt paulò minor proportio, cùm tantùm finita ſint inſtantia
<
lb
/>
phyſica, quæ reuerà ſi infinita eſſent in qualibet temporis ſenſibilis
<
lb
/>
parte, haud dubiè ſpatia eſſent omninò in ratione duplicata tem
<
lb
/>
porum: ſed, quia parum pro nihilo computatur, hanc progreſſio
<
lb
/>
nem Galilei deinceps vſurpabimus in Phyſica. </
s
>
</
p
>
<
p
id
="
N104C4
"
type
="
main
">
<
s
id
="
N104C6
">6. Hinc ratio euidens maioris ictus inflicti à corpore graui,
<
lb
/>
cùm ex maiori altitudine cadit. </
s
>
<
s
id
="
N104CB
">Sunt autem ictus, vt impetus;
<
lb
/>
impetus, vt tempora; hæc demum, vt radices ſpatiorum ſenſibi
<
lb
/>
liter quæ omnia conſtant ex dictis. </
s
>
<
s
id
="
N104D3
">Impetus acquiſitus in deſcenſu
<
lb
/>
eſt ſemper imperfectior, ſi aſſumantur ſingula inſtantia, quæ reuerâ
<
lb
/>
ſunt ſemper minora; </
s
>
<
s
id
="
N104DB
">quia motus fit ſemper velocior: cùm graue
<
lb
/>
deſcendit in medio, quod reſiſtit, minùs accuratè ſeruantur prædi
<
lb
/>
ctæ proportiones, quæ in vacuo modico accuratiſſimè ſeruaren
<
lb
/>
tur. </
s
>
</
p
>
<
p
id
="
N104E5
"
type
="
main
">
<
s
id
="
N104E7
">7. Reſiſtentia medij non eſt propter vllam formam improportio
<
lb
/>
natam, quaſi verò impetus ſit forma improportionata aëri: </
s
>
<
s
id
="
N104ED
">ſed in </
s
>
</
p
>
</
section
>
</
front
>
</
text
>
</
archimedes
>