Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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s.002610
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150
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quando ſemidiameter circa centrum mouetur, quamuis cum ipſa mouean
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tur, inæquali velocitate mouentur; Nam punctum illud ſemper velocius
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mouetur, quod remotius eſt à centro circuli, ſeu à manente ſemidiametri
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termino, & proinde illud tardius, quod centro proximius eſt. </
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<
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s.002611
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<
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abbr
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Atq;
">Atque</
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ex hac
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mira circuli proprietate,
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expan
abbr
="
pleraq;
">pleraque</
expan
>
miraculorum accidunt circuli motioni
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bus, vt in ſequentibus quæſtionibus manifeſtum erit.</
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type
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<
s
id
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s.002612
">Quoniam autem ſecundum contrarias ſimul motiones mouetur circulus,
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lb
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& alterum quidem diametri extremum vbi A, in figura præſenti antrorſum
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id.009.01.150.1.jpg
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mouetur; alterum verò vbi B, retror
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ſum, efficiunt nonnulli, vt ab vnica mo
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tione multi contrariò ſimul mouean
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tur denticulati circuli: vt ſunt ij, quos
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in locis proponunt ſacris, quorum alij
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ſunt ænei, alij ferrei. </
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>
<
s
id
="
s.002613
">ſi enim circulus
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A B, alterum circulum C D, contige
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rit, mota diametro A B, ita vt A, an
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trorſum eat, commouebit alteram dia
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metrum C D, ita vt C, retrorſum, hoc eſt in contrarium ipſi A, veniat, in
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contrarium igitur mouebitur ſecundus circulus C D, ad circulum A B, &
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rurſus circulus E F. in contrarium ipſi C D, commouebitur ab ipſo C D, ob
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eandem rationem. </
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>
<
s
id
="
s.002614
">eodem etiam modo ſi plures fuerint, idem facient vno
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/>
ſolo tanquam primo motore
<
expan
abbr
="
cõmoto
">commoto</
expan
>
. </
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>
<
s
id
="
s.002615
">hanc igitur circuli naturam animad
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uertentes Architecti, inſtrumentum artificiosè
<
expan
abbr
="
fabricãt
">fabricant</
expan
>
, motus principium
<
lb
/>
occultantes, vt machinæ ſolù manifeſtum ſit illud, quod admirationem
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parit, cauſa verò lateat: quod genus machinarum Automata dicebantur,
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quia ſpontè à ſe ipſis mouebantur.</
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>
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<
s
id
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s.002616
">In primis igitur, quæ circa libram accidunt, dubitare faciunt, quamnam
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ob cauſam maiores libræ minoribus ſint exactiores: huius autem rei prin
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cipium eſt illud, quod ſupra innuimus, quod ſcilicet, quæ à centro plus di
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ſtat linea, ſiue quæ longior eſt, eadem vi commota citius fertur, quam illa,
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quæ minus à centro diſtat, ſeu quæ minor eſt. </
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>
<
s
id
="
s.002617
">Porrò citius bifariam dicitur;
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ſiue enim in minori tempore æquale pertranſit ſpatium: ſiue in æquali tem
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lb
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pore, maius conficit interuallum; citius feciſſe dicitur. </
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>
<
s
id
="
s.002618
">ſi autem duæ lineæ
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circa idem centrum moueantur vna maior, & altera minor in æquali tem
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pore; maior maiorem circulum deſcribet, quam minor; quia circulus à ma
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iori deſcriptus, alterum à minori delineatum circumpleρetur,
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expan
abbr
="
atq;
">atque</
expan
>
intra ſe
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continebit; maius autem eſt continens, quàm
<
expan
abbr
="
contẽtum
">contentum</
expan
>
. </
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>
<
s
id
="
s.002619
">horum autem cau
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ſa, quoniam quæ circulum deſcribit linea, duabus fertur lationibus, quæ nul
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lam inuicem obtinent analogiam: quod antequam probemus, ſciendum
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eſt, quod, quidquid duobus motibus inuicem proportionatis, mouetur, ne
<
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ceſſe eſt, quod motu ex illis mixto progrediatur per lineam rectam, quæ dia
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meter eſt quadrilateri, cuius latera habeant illam proportionem, quam
<
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duo illi motus. </
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>
<
s
id
="
s.002620
">ſit enim in figura proportio lateris A B, ad latus A C, quam
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ctiam habent duo motus, ſecundum quos latum quodpiam feratur,
<
expan
abbr
="
ſitq́
">ſitque</
expan
>
; la
<
lb
/>
tum illud A, & feratur motu vno verſus B, per lineam A B, altero verò mo
<
lb
/>
tu feratur verſus C. quod fiet ſi cogitemus latus A B,
<
expan
abbr
="
deſcẽdere
">deſcendere</
expan
>
verſus M </
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