Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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intenſionis verùm etiam extenſionis; debet etiam accipi punctum illud
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in linea motus. </
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Definitio
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3.
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Centrum percuſſionis eſt punctum illud corporis impacti in quo ſi contactus
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fiat, maximus ictus infligitur.
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Definitio
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4.
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Linea directionis eſt linea motus centri grauitatis.
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Poſitiones
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1.
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Centrum grauitatis dirigit linea motus aliorum punctorum.
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Poſitiones
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2.
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Si percuſſio ita fiat, vt totus impetus corporis impacti impediatur maxi
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ma eſt.
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Poſitiones
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3.
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<
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Momenta ſunt, vt diſtantiæ.
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Poſitiones
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4.
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Omnes partes corporis, quod mouetur motu recto, mouentur æqua
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liter.
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Poſitiones
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5.
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<
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Corpus graue ſuſtinetur in æquilibrio, cum ſuſtinetur in linea dire
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ctionis.
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Poſitiones
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6.
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<
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Centrum percuſſionis eſt in illa linea, quæ dirimit vtrimque momenta, tùm
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ratione impetus, tùm ratione diſtantiæ.
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<
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Poſitiones
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7.
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<
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Si pondera inæqualia ſunt in æquilibrio, diſtantiæ ſunt, vt pondera per
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mutando; vel collectio diſtantiarum eſt ad maiorem, vt collectio ponderum ad
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alterum pondus, quod maius est, &c.
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<
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Poſitiones
<
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8.
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</
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<
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<
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Maximus ictus infligitur in linea directionis, per ſe,
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vt conſtat ex
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poſ.5.6.2. </
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<
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<
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Theorema
<
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1.
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<
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<
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Centrum percuſſionis lineæ mobilis motu recto eſt idem cum centro graui
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tatis eiuſdem.
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<
s
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">Sit enim linea AC, horizonti parallela, v.g. quæ cadat perpendi
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culariter; </
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<
s
id
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">ſit eius centrum grauitatis B, quod ſcilicet vtrimque æqua
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liter diſtat ab AC; </
s
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<
s
id
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">centrum percuſſionis eſt in B. Probatur; </
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<
s
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in B impediatur totus impetus; </
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>
<
s
id
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poteſt; eſt enim vtrimque æqualis impetus, per poſit. </
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<
s
id
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">3. 4. certè maxi
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ma percuſſio eſt in B, per poſit.2. igitur eſt centrum percuſſionis per </
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