Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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026/01/201.jpg
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DF. v. g. eſt maxima omnium differentiarum. </
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Corollarium
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2.
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</
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<
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type
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<
s
id
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N1B388
">Hinc ſub finem differentia lineæ motus v. g. TB ſemper eſt maius
<
lb
/>
latus trianguli TXB; </
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>
<
s
id
="
N1B392
">idem dico de aliis; igitur differentia lineæ motus
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& compoſitæ ex duplici impetu eſt ſemper minor & minor in in
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finitum. </
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3.
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</
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<
s
id
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N1B3AB
">Poſſunt determinari à Geometria omnes anguli triangulorum ADG.
<
lb
/>
GKL. OLP. nam ADG eſt æqualis CAD, at verò GKL æqualis
<
lb
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KGD, & hic duobus ſimul ADG & DAG, igitur determinari facilè
<
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poterunt ex doctrina triangulorum. </
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</
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Corollarium.
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4.
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</
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<
p
id
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N1B3C3
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type
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">
<
s
id
="
N1B3C5
">Hinc etiam ſciri poterit in quo puncto linea motus v.g. LP cum per
<
lb
/>
pendiculari OP faciat angulum rectum, quod ſatis eſt indicaſſe, nam hic
<
lb
/>
Geometram non ago. </
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Corollarium
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5.
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type
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<
s
id
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N1B3DF
">Hinc quoque ſciri poteſt maxima altitudo huius projectionis, quæ
<
lb
/>
ſcilicet in eo puncto eſt, in quo linea motus cum perpendiculari deor
<
lb
/>
ſum facit angulum rectum, v.g. in puncto P, ſi angulus LPO eſt
<
lb
/>
rectus. </
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</
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Corollarium
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6.
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</
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id
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type
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<
s
id
="
N1B3FB
">Hinc poteſt etiam ſciri altitudo operâ triangulorum productorum
<
lb
/>
AG 2. GK 3. OLP. quod quiuis Geometra facilè intelliget; hîc quo
<
lb
/>
que obiter obſerua vnum, quod ſæpè aliàs indicauimus, quanti videlicet
<
lb
/>
momenti ſit Geometria in rebus phyſicis. </
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>
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Corollarium
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7.
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<
s
id
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">Hinc etiam colligo arcum aſcenſus maiorem eſſe arcu deſcenſus ſu
<
lb
/>
pra idem planum horizontale AB; </
s
>
<
s
id
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">quia in arcu deſcenſus acceleratur
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pro ratione diuerſæ inclinationis impetus naturalis; </
s
>
<
s
id
="
N1B421
">igitur lineam mo
<
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/>
tus addunt propiùs ad perpendicularem, vt vides in TB; </
s
>
<
s
id
="
N1B427
">igitur minùs
<
lb
/>
acquirit in horizontali; </
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>
<
s
id
="
N1B42D
">igitur minor amplitudo horizontalis ſubeſt ar
<
lb
/>
cui deſcenſus projectorum quàm arcui aſcenſus; dixi ſuprà idem pla
<
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num, quia arcus deſcenſus infra planum AB propagatur ferè in infi
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nitum. </
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Corollarium
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8.
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</
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<
p
id
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type
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<
s
id
="
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">Hinc reiicio Galileum qui nulla prorſus fultus ratione phyſica vult
<
lb
/>
vtrumque eſſe æqualem, quod tamen omnibus experimentis repugnat, &
<
lb
/>
ipſi etiam pueri, qui diſco ludunt obſeruare poſſunt arcum deſcenſus ſui
<
lb
/>
diſci eſſe longè minorem, nec eſt quod ad ſuam Parabolam confugiat,
<
lb
/>
quæ duo falſa ſupponit principia, ſcilicet æquabilitatem motus violen
<
lb
/>
ti, & accelerationem naturalis eo ſcilicet modo quo fieret in perpendi
<
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culari; at vtrumque falſum eſſe ſuprà demonſtrauimus, adde quod vt iam </
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