Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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id
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N22A20
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<
p
id
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N23811
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<
s
id
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N2382D
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<
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pagenum
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311
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xlink:href
="
026/01/345.jpg
"/>
quo percurretur DE, percurretur pluſquam DN; </
s
>
<
s
id
="
N23836
">quippe DN eſt minùs
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lb
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inclinatus, quàm DE: </
s
>
<
s
id
="
N2383C
">porrò recta NH eodem deinde tempore percur
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lb
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retur, ſiue ducatur initium motus AD per arcum DN, ſiue AD per re
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ctam DN, ſiue ab O per rectam ON; quia in N eſt æqualis velocitas
<
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per Lemm. </
s
>
<
s
id
="
N23846
">11. igitur tempus, quo percurritur recta NH, facto initio
<
lb
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motus ex D per rectam, vel arcum DN, eſt ad tempus, quo percurritur
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lb
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DN, vt 42466.ad DN, id eſt ad 390181. ſit enim vt ON ad 111347.
<
lb
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ita hæc ad OH 179995. detrahatur ON ex 111347.ſupereſt 42466.igi
<
lb
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tur eo tempore, quo percurritur DE, percurritur pluſquam DN; </
s
>
<
s
id
="
N23852
">per
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lb
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curritur tamen minùs, quàm DL; </
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>
<
s
id
="
N23858
">quia tempus, quo percurritur DL eſt
<
lb
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ad tempus quo percurritur LH facto initio motus in D, vt DL 51764.
<
lb
/>
ad 41422. igitur eo tempore, quo percurritur DE; percurritur minùs
<
lb
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quàm DL. </
s
>
</
p
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<
p
id
="
N23862
"
type
="
main
">
<
s
id
="
N23864
">Adde quod rectæ DE, DM, æquali tempore percurruntur; </
s
>
<
s
id
="
N23868
">ſed DM
<
lb
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breuiore tempore percurritur, quàm arcus DL, immò arcus DE citiùs
<
lb
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peragitur, quàm recta DE; </
s
>
<
s
id
="
N23870
">igitur citiùs quàm arcus DL; </
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>
<
s
id
="
N23874
">ſi verò acci
<
lb
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piatur arcus DR; </
s
>
<
s
id
="
N2387A
">certè tempus per arcum DE eſt paulò minus tempo
<
lb
/>
re per arcum DR; quia tempus, quo percurritur DR eſt ad tempus, quo
<
lb
/>
percurretur RH, facto initio motus in D, vt 45444.ad 41705.ſed vtrum
<
lb
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que tempus debet eſſe æquale, vt ſcilicet arcus in DH æquali tempore
<
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cum arcu DE percurratur. </
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>
</
p
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<
p
id
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type
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<
s
id
="
N23888
">Obſeruabis præterea, vt inueniatur arcus quadrantis DH, cuius tem
<
lb
/>
pus ſit ſubduplum ipſius quadrantis, vel æquale tempori per arcum DE,
<
lb
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aſſumendum eſſe punctum in arcu DH, puta N; </
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>
<
s
id
="
N23890
">per quod ſi ducatur
<
lb
/>
HNO, ſitque vt ON ad OV, ita OV ad OH, ipſa NV erit æqualis
<
lb
/>
ipſi ND; </
s
>
<
s
id
="
N23898
">quippè tempus per DN eſt ad tempus per ON, vt ipſa DN ad
<
lb
/>
ON; </
s
>
<
s
id
="
N2389E
">ſed tempus per ON eſt ad tempus per NH, vt ON ad NV; </
s
>
<
s
id
="
N238A2
">igi
<
lb
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tur tempus per DN eſt ad tempus per NH, vt DN ad NV; </
s
>
<
s
id
="
N238A8
">igitur DN,
<
lb
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& NH facto initio motus à D fiunt tempore æquali; </
s
>
<
s
id
="
N238AE
">ſed vt tempus per
<
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rectam DN ad tempus per rectam NH; </
s
>
<
s
id
="
N238B4
">ita tempus per duas DXN ad
<
lb
/>
tempus per duas NZH; </
s
>
<
s
id
="
N238BA
">ita tempus per 4. æquales inſcriptas arcui DN
<
lb
/>
ad tempus per 4.æquales inſcriptas arcui NZH, atque ita deinceps; igi
<
lb
/>
tur ita tempus per arcum DN ad tempus per arcum NZH. </
s
>
</
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>
<
p
id
="
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type
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">
<
s
id
="
N238C4
">Quomodo verò poſſit inueniri punctum N, viderint Geometræ; </
s
>
<
s
id
="
N238C8
">nec
<
lb
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enim phyſici eſt inſtituti; habetur autem ex analytica, ſi excipiatur ar
<
lb
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cus DN. 24. gra. </
s
>
<
s
id
="
N238D0
">20′. </
s
>
<
s
id
="
N238D3
">circiter; ſitque HO ſecans anguli AHO grad.57.
<
lb
/>
10′. </
s
>
<
s
id
="
N238D8
">ſitque ON, ad OV vt OV ad OH, ipſa NV erit proximè æqualis
<
lb
/>
ipſi ND: igitur DN. & NH æqualibus temporibus percurrentur. </
s
>
<
s
id
="
N238DE
">Simili
<
lb
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ter opera eiuſdem analyticæ habebitur arcus, qui peragitur in DZH eo
<
lb
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tempore, quo arcus DNF percurritur, poſſuntque hæc omnia in cano
<
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nes redigi. </
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>
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Theorema
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10.
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<
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emph
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"/>
In diuerſis punctis arcus diuerſus impetus producitur.
<
emph.end
type
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italics
"/>
</
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<
s
id
="
N238FE
"> Prob. </
s
>
<
s
id
="
N23901
">ſit enim
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lb
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pendulum fune ex centro immobili A; </
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>
<
s
id
="
N23907
">ſitque AO horizontalis, AD </
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</
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</
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</
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