Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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archimedes
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<
text
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<
front
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<
section
>
<
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<
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<
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plus, determinatio noua eſt dupla prioris, minùs vna quarta,
<
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&c. </
s
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<
s
id
="
N10BB4
">ratio eſt, quia in ea proportione globus reflectens cedit, in
<
lb
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qua mouetur, igitur tantùm detrahitur determinationis impacto
<
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globo, quantùm additur motus reflectenti: at verò noua determina
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tio per lineam incidentiæ obliquam, eſt ad nouam per ipſam per
<
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pendicularem, vt ſinus rectus anguli incidentiæ ad ſinum totum. </
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</
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<
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type
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">
<
s
id
="
N10BC2
">9. In hac hypotheſi lineæ reflexæ omnes ſunt ſupra prædictam
<
lb
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tangentem, ſeu ſectionem plani, maiores, vel minores, pro diuerſa
<
lb
/>
menſura diagonalis: </
s
>
<
s
id
="
N10BCA
">in ſuperiori verò hypotheſi æqualium globo
<
lb
/>
rum, ſunt omnes in ipſa ſectione plani: ſi denique globus impactus
<
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ſit maior alio, omnes ſunt infra prædictam ſectionem. </
s
>
<
s
id
="
N10BD2
">Porrò in hac
<
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hypotheſi vltima, determinatio noua per ipſam perpendicularem
<
lb
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eſt minor priore: </
s
>
<
s
id
="
N10BDA
">hinc non modò nulla fit reflexio in perpendicula
<
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ri, ſed linea directa vlteriùs propagatur; quia prior determinatio
<
lb
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præualet. </
s
>
</
p
>
<
p
id
="
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type
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">
<
s
id
="
N10BE4
">10. Detrahitur priori portio æqualis rationi globorum; </
s
>
<
s
id
="
N10BE8
">v. g. glo
<
lb
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bus reflectens eſt ſubduplus impacto de trahitur priori determina
<
lb
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tioni vna ſecunda; </
s
>
<
s
id
="
N10BF0
">eſt ſubquadruplus, vna quarta; atque ita dein
<
lb
/>
ceps: </
s
>
<
s
id
="
N10BF6
">ratio patet ex dictis: </
s
>
<
s
id
="
N10BFA
">in linea verò incidentiæ obliqua, deter
<
lb
/>
minatio eſt ad determinationem in perpendiculari, vt ſinus rectus
<
lb
/>
anguli incidentiæ ad ſinum totum: linea demum reflexa eſt modò
<
lb
/>
maior, modò minor pro diuerſa diagonali. </
s
>
</
p
>
<
p
id
="
N10C04
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type
="
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">
<
s
id
="
N10C06
">11. Si duo globi æquales in ſe inuicem impingantur æquali mo
<
lb
/>
tu, per lineam connectentem centra, vterque æquali motu priori re
<
lb
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troagitur; </
s
>
<
s
id
="
N10C0E
">quia æqualis in æqualis æqualem impetum imprimit: </
s
>
<
s
id
="
N10C12
">non
<
lb
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eſt tamen motus reflexus; </
s
>
<
s
id
="
N10C18
">quia totus prior impetus deſtruitur, vt
<
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/>
patet ex dictis: </
s
>
<
s
id
="
N10C1E
">ſi autem inæquali motu concurrant, retroaguntur
<
lb
/>
iiſdem motibus, permutando; quod etiam clarum eſt: hinc egre
<
lb
/>
gium paradoxum, ſi quod aliud conſequitur, ſcilicet, globum A, v.
<
lb
/>
g. æqualem motum imprimere globo B, ſiue hic moueatur, ſiue
<
lb
/>
quieſcat. </
s
>
</
p
>
<
p
id
="
N10C2A
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type
="
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">
<
s
id
="
N10C2C
">12. Si verò linea incidentiæ ſit obliqua, vterque globus reflecte
<
lb
/>
tur prorſus vt à plano immobili: </
s
>
<
s
id
="
N10C32
">hinc reflexio ſit ad angulos æqua
<
lb
/>
les, & lineæ omnes reflexionis ſunt æquales: ratio eſt; </
s
>
<
s
id
="
N10C38
">quia, quantùm
<
lb
/>
detrahit globus reflectens reſiſtendo, tantùm addit in partem op
<
lb
/>
poſitam repellendo, poſitiuo niſu, vel impetu: quòd ſi alter globus
<
lb
/>
maiore, vel minore motu moueatur, vel ſi globi ſint inæquales,
<
lb
/>
cum æquali motu, vel inæquali, res etiam determinari poteſt ex
<
lb
/>
præmiſſis. </
s
>
</
p
>
</
section
>
</
front
>
</
text
>
</
archimedes
>