Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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<
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206
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xlink:href
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026/01/238.jpg
"/>
AC; </
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<
s
id
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">tùm erigatur perpendicularis DX parallela AB; </
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>
<
s
id
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N1D29F
">connectantur R
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M: dico FX eſſe maximam altitudinem, vt conſtat ex dictis. </
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</
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<
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N1D2A5
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<
s
id
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N1D2A7
">Secundò, quotieſcunque rectangulum, ita eſt ſitum, vt eius
<
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diagonalis ſit perpendicularis; </
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>
<
s
id
="
N1D2AD
">dico eſſe in perfecto æquilibrio; </
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>
<
s
id
="
N1D2B1
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ſit enim rectangulum BE, cuius diagonalis BE perpendicula
<
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riter cadit in horizontalem AC; </
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>
<
s
id
="
N1D2B8
">certè erit in æqualibrio; </
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>
<
s
id
="
N1D2BC
">ſit enim
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diuiſum per lineam BE ita vt FH vel KI ſit libra quæ ſuſtineatur in ful
<
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cro BG; ſitque totum pondus trianguli BED appenſum brachio GH,
<
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& aliud BET appenſum brachio æquali GF, erit perfectum æquili
<
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brium per regulas libræ, ſed duo triangula eodem modo ſe habent
<
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conjuncta, quo ſe haberent ſeparata & appenſa, vt patet. </
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>
</
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<
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id
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type
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<
s
id
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">Tertiò, omnia rectangula proportionalia in eodem æquilibrio rema
<
lb
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nerent v.g. rectangulum BG cum rectangulo BE, idem dico de Rhom
<
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bo, Rhomboide, &c. </
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>
</
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<
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type
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<
s
id
="
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">Quartò, inde etiam cognoſcitur in qua proportione minuatur pondus. </
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>
<
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id
="
N1D2DA
">
<
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/>
v. g. ſit enim cylindrus AE horizontalis, ſuſtineaturque in A immo
<
lb
/>
biliter, itemque in E; </
s
>
<
s
id
="
N1D2E5
">certè qui ſuſtinet in E æqualiter ſuſtinet; </
s
>
<
s
id
="
N1D2E9
">at verò
<
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ſi attollatur in AD; </
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>
<
s
id
="
N1D2EF
">certè potentia quæ in D ſuſtinet, eſt ad potentiam
<
lb
/>
quæ ſuſtinet in E, vt AF ad AE, quia pondus grauitaret in D & in E in
<
lb
/>
eadem ratione per Th. 16. ſed potentia ſuſtinens adæquat ponderis ra
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tionem, ſuſtinens inquam, per DH; </
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>
<
s
id
="
N1D2F9
">nam reuerà ſuſtinens per DF æqua
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lis eſſe debet potentiæ in E: </
s
>
<
s
id
="
N1D2FF
">idem dico ſi attollatur in AP, nam potentia
<
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trahens in P, per CP, eſt ad potentiam in E, vt QA ad AP, vel AE;
<
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/>
igitur pondus in D eſt ad pondus in P vt FA ad QA. </
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>
</
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<
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id
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type
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">
<
s
id
="
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">Quintò, hinc ſi duo ferant parallelipedum in ſitu inclinato v.g.vt AD,
<
lb
/>
ferunt inæqualiter, ſcilicet in ratione AD FA, itemque ſi ferant in ſitu
<
lb
/>
inclinato AP, vel AC, donec tandem AE attollatur in B, nihil amplius
<
lb
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ſuſtinet potentia in B, & potentia in A totum ſuſtinet. </
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>
</
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<
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id
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type
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">
<
s
id
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">Sextò, hinc cùm attollitur cylindrus continuò minùs ſentitur pondus
<
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/>
& faciliùs attollitur; ſic qui attollunt pontes illos verſatiles, initio maxi
<
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mo niſu, & modico ſub finem trahunt. </
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>
</
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<
s
id
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">Septimò obſeruabis, ſi circa centrum immobile A attollatur cylindrus
<
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AE fune BE, potentia poſita in B, vel fune EO, potentia poſita in O; </
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>
<
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id
="
N1D324
">
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hæc deber eſſe minor quàm poſita in B, vt autem cognoſcatur propor
<
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tio, fiat angulus PAE æqualis angulo OEB; </
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>
<
s
id
="
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">ducatur PQ; </
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>
<
s
id
="
N1D32F
">dico poten
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tiam in O eſſe ad potentiam B, vt AQ ad AP, quia ſi anguli OEB &
<
lb
/>
PAQ ſunt æquales etiam anguli APQ & AEB ſunt æquales; igitur
<
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/>
perinde eſt ſiue trahatur PA circa A per lineam PQ, ſiue trahatur EA
<
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circa A per lineam EB. </
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>
<
s
id
="
N1D33C
">Idem dictum ſit de aliis lincis. </
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>
</
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<
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type
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<
s
id
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">Octauò ſi attollendum ſit rectangulum non quidem circa axem; </
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>
<
s
id
="
N1D345
">ſed
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circa angulum immobilem, etiam decreſcit proportio ponderis, ſit enim
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v.g.
<
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abbr
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quadratũ
">quadratum</
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>
ACFD, ſitque AD horizontalis, AI perpendicularis, duca
<
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/>
tur diagonalis AF, attollatur circa punctum A, ita vt transferatur in AG,
<
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ducatur GB perpendicularis: </
s
>
<
s
id
="
N1D355
">dico potentiam in G eſſe ad potentiam in
<
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in A, vt AB ad AD; quippe res eodem modo ſe habet, ac ſi AF aſcenderet </
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