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