Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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173
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026/01/205.jpg
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tior eſt, quàm vt numeris tantùm,
<
expan
abbr
="
ſicciſq́ue
">ſicciſque</
expan
>
calculis nutriatur; </
s
>
<
s
id
="
N1B6FD
">adde quod
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Praxis Theoricæ in his omninò præferenda eſt; </
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>
<
s
id
="
N1B703
">quamquam huic etiam
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lb
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parti deeſſe nolumus, ſed in ſingularem libellum omnes iſtas tabulas &
<
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alias huiuſmodi remittimus; cum hic tantùm rerum phyſicarum cauſas
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explicemus. </
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<
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<
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<
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Theorema
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65.
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"/>
Si accipiatur planum horizontale intra illud vnde incipit iactus haud du
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biè iactus omnium maximus erit horizontalis in vtraque hypotheſi.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
N1B726
"> Primo in
<
lb
/>
hypotheſi Galilci, in qua Parabola GD figurâ ſuperiore habet maximum
<
lb
/>
omnium amplitudinem; </
s
>
<
s
id
="
N1B72E
">licèt iactus per GX; </
s
>
<
s
id
="
N1B732
">ex quo ſequitur, non ha
<
lb
/>
beat impetum maiorem, quâm iactus per EY, vel EX; </
s
>
<
s
id
="
N1B738
">in noſtra verò, ia
<
lb
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ctus per BG primo tempore plùs acquirit in horizontali BG, quàm ia
<
lb
/>
ctus per BF; </
s
>
<
s
id
="
N1B740
">igitur plùs etiam ſecundo tempore; </
s
>
<
s
id
="
N1B744
">nam BF acquirit tantùm
<
lb
/>
primo tempore BH, at verò BG acquirit RL; </
s
>
<
s
id
="
N1B74A
">adde quod minùs perit ex
<
lb
/>
iactu BG; </
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>
<
s
id
="
N1B750
">quippe aſſumatur BL in B 2. & GL in 2. 3. detrahitur tantùm
<
lb
/>
G. 3.ex BG; </
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>
<
s
id
="
N1B756
">at verò aſſumatur BH in B 4. & FH in 4.5. detrahitur F 5.ex
<
lb
/>
BF; </
s
>
<
s
id
="
N1B75C
">igitur plùs ex BF quàm ex BG; quæ omnia ex ſuperioribus regulis
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iuſta noſtram hypotheſim præſcriptis conſequuntur. </
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<
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id
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<
s
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<
emph
type
="
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"/>
<
emph
type
="
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"/>
Theorema
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emph.end
type
="
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"/>
66.
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type
="
center
"/>
</
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</
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type
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<
s
id
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">
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emph
type
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"/>
Immò probabile eſt æquales fore iactus per inclinatas ſurſum, & deorſum
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lb
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æqualiter ab horizontali, vnde incipit iactus, distantes; </
s
>
<
s
id
="
N1B77A
">æquales inquam in ali
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lb
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quo plano horizontali, inferiore
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1B783
">ſi enim iactus fiat per BD eadem figura &
<
lb
/>
BP nihil acquiritur in horizontali, vt conſtat; </
s
>
<
s
id
="
N1B789
">ſi verò iactus ſit per BG
<
lb
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maximum ſpatium acquirunt in horizontali plano inferiore; </
s
>
<
s
id
="
N1B78F
">igitur qua
<
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proportione propiùs accedent lineæ ſeu iactus ad BD, PP minùs acqui
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/>
rent; </
s
>
<
s
id
="
N1B797
">qua verò proportione propiùs accedent ad RG plùs acquirent; </
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>
<
s
id
="
N1B79B
">igi
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tur æqualiter plùs, & minùs hinc inde, ſi æqualiter hinc inde diſtent; </
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>
<
s
id
="
N1B7A1
">im
<
lb
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mò hoc ipſum præſentibus oculis intueri licèt; </
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>
<
s
id
="
N1B7A7
">ſi enim iactus BF compa
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lb
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retur cum iactu BK; </
s
>
<
s
id
="
N1B7AD
">certè BK acquirit RK, BF acquirit BH æqualem B
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lb
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K; </
s
>
<
s
id
="
N1B7B3
">ſed BF & BK æqualiter diſtant ab horizontali BG; </
s
>
<
s
id
="
N1B7B7
">nam arcus GF, &
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lb
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GK ſunt æquales, vt conſtat: idem dico de iactu BE, & BX, qui acquirunt
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æquale ſpatium in horizontali æquale ſcilicet BZ. </
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Scholium.
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type
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italics
"/>
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type
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"/>
</
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</
p
>
<
p
id
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N1B7CD
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type
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">
<
s
id
="
N1B7CF
">Obſeruabis hoc omninò licèt mirum cuiquam fortè videatur, certè
<
lb
/>
inſtitutum eſſe à natura; </
s
>
<
s
id
="
N1B7D5
">ſi enim comparentur omnes iactus ſuprà hori
<
lb
/>
zontalem BG, haud dubiè cum duo extremi ſcilicet BD, & BG nihil
<
lb
/>
prorſus acquirant, vt conſtat ex dictis, iactus medius ſcilicet ad gradum
<
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45.erit omnium maximus, quia æqualiter ab vtraque extremitate diſtat,
<
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vt demonſtrauimus ſuprà; </
s
>
<
s
id
="
N1B7E1
">ſi verò comparentur omnes iactus, qui poſ
<
lb
/>
ſunt fieri à centro B per totum ſemicirculum
<
expan
abbr
="
DGq;
">DGque</
expan
>
certè cum duo ex
<
lb
/>
tremi BD, BQ nihil prorſus acquirant, vt conſtat, iactus medius, ſcilicet
<
lb
/>
ad gradum 90.qui eſt BG erit omnium maximus, quia æqualiter ab vtra-</
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