Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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1 - 30
31 - 60
61 - 90
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121 - 150
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241 - 270
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361 - 390
391 - 420
421 - 450
451 - 480
481 - 491
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<
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<
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<
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N2114F
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<
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pagenum
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269
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xlink:href
="
026/01/303.jpg
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vniuerſale eſt, falſum eſſe conſtat; addunt aliqui eſſe mixtam æquiualen
<
lb
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ter. </
s
>
<
s
id
="
N2115A
">Tertiò, cum ſit eadem potentia motrix applicata, tùm in K, tùm in
<
lb
/>
A; </
s
>
<
s
id
="
N21160
">certè debet eſſe idem impetus; </
s
>
<
s
id
="
N21164
">cum autem duæ lineæ K
<
foreign
lang
="
grc
">θ</
foreign
>
K
<
foreign
lang
="
grc
">β</
foreign
>
repræ
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lb
/>
ſentent duos impetus, qui concurrunt ad motum mixtum per KD (nam
<
lb
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hoc ipſi dicunt) certè duo ABAP ſimul ſumpti æquales eſſe deberent
<
lb
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duobus K
<
foreign
lang
="
grc
">θ</
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>
K
<
foreign
lang
="
grc
">β</
foreign
>
, quod falſum eſt; quia KD ſit 4. ſitque angulus GDK
<
lb
/>
30.grad. </
s
>
<
s
id
="
N21180
">K
<
foreign
lang
="
grc
">θ</
foreign
>
eſt 2. igitur collecta
<
foreign
lang
="
grc
">θ</
foreign
>
K
<
foreign
lang
="
grc
">β</
foreign
>
eſt 6. & eius quadratum 36. at
<
lb
/>
verò quadratum AB eſt 18. ergo quadratum collectæ ex ABAP eſt
<
lb
/>
32. igitur illa maior eſt. </
s
>
</
p
>
<
p
id
="
N21193
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type
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main
">
<
s
id
="
N21195
">Sed iam ad aliam propoſitionem venio, in qua dicitur linea reflexio
<
lb
/>
nis DX eſſe mixta ex D
<
foreign
lang
="
grc
">θ</
foreign
>
D
<
foreign
lang
="
grc
">υ</
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>
quod falſum eſt; </
s
>
<
s
id
="
N211A3
">nam primò hoc dicis,
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lb
/>
hoc proba poſitiuo argumento: </
s
>
<
s
id
="
N211A9
">Dices, quia non poteſt aliter explicari
<
lb
/>
æqualitas anguli reflexionis; </
s
>
<
s
id
="
N211AF
">bellè! nego antecedens; nam licèt nondum
<
lb
/>
verus illius modus explicatus non eſſet, proba tuum eſſe verum. </
s
>
<
s
id
="
N211B5
">Secundò
<
lb
/>
vel aliquid prioris determinationis manet, vel nihil; </
s
>
<
s
id
="
N211BB
">non primum, vt ipſi
<
lb
/>
volunt; </
s
>
<
s
id
="
N211C1
">alioqui DX eſſet mixta ex tribus ſcilicet DQ, D
<
foreign
lang
="
grc
">θ</
foreign
>
, D
<
foreign
lang
="
grc
">υ</
foreign
>
, quod
<
lb
/>
abſurdum eſt; </
s
>
<
s
id
="
N211CF
">quod ſi nihil remaneat prioris determinationis; </
s
>
<
s
id
="
N211D3
">ergo ni
<
lb
/>
hil prioris impetus, quod etiam concedunt; </
s
>
<
s
id
="
N211D9
">igitur producitur nouus, ſci
<
lb
/>
licet propter compreſſionem aëris, corporis reflexi, & reflectentis; </
s
>
<
s
id
="
N211DF
">ſed
<
lb
/>
profectò, licèt hoc totum verum eſſet, cùm illa compreſſio fieret in linea
<
lb
/>
quæ per centrum globi producitur, ſcilicet à puncto contactus, ſcilicet
<
lb
/>
in linea DG; </
s
>
<
s
id
="
N211E9
">certè per illam fieret repercuſſio; </
s
>
<
s
id
="
N211ED
">Tertiò tunc maxima eſt
<
lb
/>
percuſſio, cum linea incidentiæ eſt perpendicularis; </
s
>
<
s
id
="
N211F3
">igitur tunc eſſe de
<
lb
/>
bet maxima vis compreſſionis; </
s
>
<
s
id
="
N211F9
">igitur maxima vis repercuſſionis, ſed eſt
<
lb
/>
tantùm vt DG; at verò, ſi linea incidentiæ ſit AD, vis repercuſſionis
<
lb
/>
erit, vt collecta ex DFDP quæ maior eſt priore. </
s
>
<
s
id
="
N21201
">Quartò, cur DX erit
<
lb
/>
potiùs mixta ex duabus D
<
foreign
lang
="
grc
">θ</
foreign
>
, D
<
foreign
lang
="
grc
">υ</
foreign
>
, quàm ex duabus aliis? </
s
>
<
s
id
="
N2120E
">Quintò, perinde
<
lb
/>
ſe habet planum reflectens, atque ſi globum ipſum pelleret, cùm nihil de
<
lb
/>
terminationis prioris remaneat, vt ipſi volunt, ſed pelleret per ipſam
<
lb
/>
DG. Sextò, proba argumento poſitiuo eſſe mixtam DX ex D
<
foreign
lang
="
grc
">υ</
foreign
>
, D
<
foreign
lang
="
grc
">θ</
foreign
>
; nam
<
lb
/>
hoc reuerâ fingis ſine ratione. </
s
>
<
s
id
="
N21222
">Septimò, præterea ſi corpus eſſet duriſſi
<
lb
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mum minùs reflecti poſſet à plano duriſſimo, ſi nulla fieret compreſſio. </
s
>
<
s
id
="
N21227
">
<
lb
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Octauò proba mihi impetum priorem deſtrui per ſe; </
s
>
<
s
id
="
N2122C
">nam cùm ſit indif
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lb
/>
ferens ad omnes lineas, nunquam deſtruitur, niſi ſit fruſtrà; </
s
>
<
s
id
="
N21232
">hic autem
<
lb
/>
fruſtrà non eſt: </
s
>
<
s
id
="
N21238
">Itaque manifeſtum efficitur, non modò ex his principiis
<
lb
/>
non demonſtrari æqualitatem anguli reflexionis, ſed ne argumento qui
<
lb
/>
dem probabili comprobari; quia tamen in noſtra demonſtratione multa
<
lb
/>
ſunt, quæ ipſis non probantur, breuiter recenſeo. </
s
>
</
p
>
<
p
id
="
N21242
"
type
="
main
">
<
s
id
="
N21244
">Suppono primò, planum reflectens eſſe principium nouæ determina
<
lb
/>
tionis, quod nemo inficiebitur. </
s
>
<
s
id
="
N21249
">Secundò, eſſe tantùm principium vnius
<
lb
/>
determinationis quia vnum principium eſt. </
s
>
<
s
id
="
N2124E
">Tertiò, per quamcunque li
<
lb
/>
neam incidat globus in punctum D plani ſcilicet immobilis, eſt ſemper
<
lb
/>
idem punctum contactus & eadem
<
expan
abbr
="
Tãgens
">Tangens</
expan
>
. </
s
>
<
s
id
="
N2125A
">Quartò, à puncto contactus
<
lb
/>
globi duci tantùm poſſe vnicam lineam ad centrum. </
s
>
<
s
id
="
N2125F
">Quintò, cum deter
<
lb
/>
minationis terminus à quo ſit illud punctum contactus, per illam tan-</
s
>
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