Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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tur ad circulum, ſequenti etiam capite, quod erat proximum, libræ
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motiones explicat.
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<
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">e)/ti de\
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dia\ to\ mia=s ou)/shs th=s e)k tou= ke/ntrou grammh=s mhqe\n e(/teron
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e(te/rw| fe/resqai tw=n shmei/wn tw=n e)n au)th=| i)sotaxw=s, a)ll' a)ei\
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to\ tou= me/nontos pe/ratos porrw/teron o)\n qa=tton, polla\ tw=n qaumazome/nwn
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sumbai/nei peri\ ta\s kinh/seis tw=n ku/klwn, peri\
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w(=n e)n toi=s e(pome/nois problh/masin e)/stai dh=lon.</
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<
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id
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">Præterea etiam, quod,
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cum vna ſit ea linea, quæ
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ex centro, nullum eorum,
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quæ in ea ſunt,
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,
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æquè celeriter fertur: ſed
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hoc, quod longius eſt ab
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extremo eius immobili,
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ſemper celerius: miranda
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multa circa motiones cir
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culi contingunt, vt in
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ſequẽtibus
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quentibus</
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problematis fiet
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manifeſtum. </
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id
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Quarta repugnantia eſt in circulo ex inæ
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qualitate motuum in eiuſdem lineæ circulum deſcribentis diuer
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ſis punctis. </
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<
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id
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">Inæqualiter enim moueri dicuntur, & quæ eodem tem
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pore diuerſa permeant ſpatia, & quæ in æqualibus temporibus idem:
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atque hoc celerius, quod eodem tempore maius ſpatium permeat, vel
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breuiori tempore idem: Tardius contra. </
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id
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">Punctorum autem, quæ in
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ſunt in vna eademque linea circulum deſcribente, illud quod remo
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tius eſt à centro, maius ſpatium conficit: quam quod propinquius, li
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cet vtraque eodem tempore ſuum perficiant. </
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id
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">Linea enim circulum
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deſcribens, quo tempore punctis centro propinquis redijt ad locum,
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vnde ijſdem moueri cœperat, eodem remotis redit. </
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">Spatium autem
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illud eſt peripheria, quæ ab vnoquoque eorum quæ ſunt in ſemidia
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metro punctorum, deſcribitur, ſi quodlibet
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in motu lineæ
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intelligatur ſui, vt puncti, veſtigium relinquere, vt in eo quod circu
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lum vndiquaque comprehendit. </
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<
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id
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">Peripheriam autem remotioris pun
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cti à centro, id eſt ſemidiametri maioris eſſe maiorem peripheria pun
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cti centro propinquioris, id eſt ſemidiametri minoris, ſic demonſtra
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bimus.
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