Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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<
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s.002592
">De dignitatibus,
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abbr
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admirandisq́
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; Circuli proprietatibus.</
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Cap. Secundum.
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239</
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<
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id
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s.002596
">Cvm vellet Ariſt. mirabilium effectuum, quos in Mechanicis admi
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lb
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ramur, cauſam referre in circulum: meritò ante omnia de admi
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randa ipſius circuli natura diſſerit, quo minus mirum deinde vi
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deatur prædictas mirabiles operationes ex ipſo procedere. </
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<
s
id
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s.002597
">quan
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doquidem exadmiranda cauſa admirabiles effectus prodire debeant. </
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<
s
id
="
s.002598
">qua
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lia ſunt ea, quæ circa vectem, cum magna
<
expan
abbr
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omniũ
">omnium</
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>
admiratione contingunt.
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</
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<
s
id
="
s.002599
">videmus enim exiguam prorſus vim ingens pondus, quod
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abbr
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abſq;
">abſque</
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>
vecte mini
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mè mouere poſſet, addito etiam ipſius vectis pondere, facilè
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abbr
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quocunq;
">quocunque</
expan
>
vo
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luerit propellere. </
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<
s
id
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s.002600
">quod quidem auditu abſurdum foret, niſi viſu conſtaret.
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</
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<
s
id
="
s.002601
">omnium autem huiuſmodi cauſæ principium circulus obtinet: & hoc qui
<
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/>
dem meritò, ex admirabili enim, quippiam mirandum accidere rationi
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omninò conſentaneum eſt.</
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<
s
id
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s.002602
">Primò igitur maximè admirandum eſt contraria ſimul fieri, aut exiſtere:
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circulus tamen ex contrarijs eſt conſtitutus, oritur enim circulus ex com
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moto, & manente, quæ quidem naturaliter ſunt inuicem contraria. </
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>
<
s
id
="
s.002603
">ſit au
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tem circulus ex commoto, & manente, quia oritur ex circumuolutione
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vnius rectæ lineæ, cuius alterum extremum fixum manet, alterum verò cir
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cumagitur; quamobrem iſthæc cernentes minus admirari
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expan
abbr
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cõuenit
">conuenit</
expan
>
reliquas,
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quæ in ipſo ſunt contrarietates. </
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>
<
s
id
="
s.002604
">cuiuſmodi eſt hæc, quod cum linea, quæ cir
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culi orbem complectitur,
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expan
abbr
="
quæq́
">quæque</
expan
>
; circunferentia appellatur, nullam habeat
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latitudinem, ei tamen contraria quodammodo inſunt, concauum ſcilicet,
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& curuum; quæ quidem eo modo ſunt contraria, quo etiam magnum, & pa
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ruum, horum enim medium eſt æquale; illorum verò rectum. </
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<
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id
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">& ſicuti quan
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do magnum, & paruum inuicem commutantur, ita vt quod magnum eſt fiat
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paruum, quod verò paruum fiat magnum, neceſſe eſt, vt perueniant ad
<
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æquale priuſquam ad extremum alterutrum; ita linea curua antequam fiat
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concaua, debet prius fieri recta: & ex concaua, vt tranſeat ad conuexam,
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& circularem, debet ſimiliter prius eſſe recta.</
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<
s
id
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s.002606
">Alterum contrarium, quod circulo ineſt, eſt ſimul
<
expan
abbr
="
cõtrarijs
">contrarijs</
expan
>
motibus mo
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neri: ſimul enim ad anteriorem mouetur locum, & ad poſteriorem. </
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>
<
s
id
="
s.002607
">& eo
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dem modo linea illa, quæ ex vno extremo manens, ex altero verò circum
<
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lata circulum deſcribit, ſe habet; contraria enim ſimul continet, primum
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ſcilicet, & extremum. </
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>
<
s
id
="
s.002608
">Ex quo enim primo loco circumagi incipit ad eun
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dem rurſus poſtremò reuertitur, ita, vt primum ipſius, & poſtremum idem
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ſint; quapropter, vt prius dicebamus non eſt inconueniens, ipſum circulum
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miraculorum omnium eſſe principium. </
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>
<
s
id
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s.002609
">Admiranda igitur ea, quæ circa li
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bram fiunt, ad circulum
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expan
abbr
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tãquam
">tanquam</
expan
>
cauſam referuntur, quæ verò circa vectem
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ad ipſam libram: alia autem ferè omnia, quæ circa mechanicas contingunt
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motiones, ad vectem reducuntur.</
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<
s
id
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s.002610
">Præter prædicta aliud tandem mirum ipſi ineſt, quia nimirum cum innu
<
lb
/>
mera ſint puncta in vna
<
expan
abbr
="
eademq́
">eademque</
expan
>
; linea, quæ ſemidiameter eſt, omnia tamen </
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