Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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<
chap
id
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N10019
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N167EE
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N167F0
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<
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pagenum
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221
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xlink:href
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005/01/229.jpg
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vt BD ſit perpendicularis ipſi KL. </
s
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<
s
id
="
N16803
">Rotetur autem vterque
<
lb
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circulus ſimul ſecundum
<
expan
abbr
="
abſidẽ
">abſidem</
expan
>
maioris dextrorſum quouſ
<
lb
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que punctum C perueniat, verbi gratia in L, ac ſemidiame
<
lb
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ter IC conſtituatur in ML perpendicularis ipſi KL: ac
<
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per conſequens IG in MN; ita vt punctum G reperia
<
lb
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tur in N. </
s
>
<
s
id
="
N16815
">Dicimus ergo punctum C in hac reuolutione
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lb
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minus dextrorſum promoueri, quàm punctum G. </
s
>
<
s
id
="
N1681B
">Demit
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lb
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tatur enim à puncto C linea CO perpendicularis pariter
<
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ipſi KL, & à puncto G alia perpendicularis GP: & tunc
<
lb
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apparebit punctum C dextrorſum peragraſſe ſpatium CM,
<
lb
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vel OL, quæ ſunt latera oppoſita, ac proinde æqualia re
<
lb
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ctanguli CMLO, vt pater per 34. propoſit. </
s
>
<
s
id
="
N16828
">primi. </
s
>
<
s
id
="
N1682B
">Pun
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lb
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ctum verò G conſtabit peragraſſe ſpatium GM, ſeu PL
<
lb
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æquale huic. </
s
>
<
s
id
="
N16832
">At GM maior eſt, quàm CM, eo quod
<
lb
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illam contineat, ſicut PL maior eſt ipſa OL propter ean
<
lb
/>
dem rationem. </
s
>
<
s
id
="
N16839
">Ergo per talem circumuolutionem minus
<
lb
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dextrorſum progreditur punctum C, quod eſt extremum
<
lb
/>
diametri circuli maioris, quàm punctum G extremum
<
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diametri contenti sit culi minoris. </
s
>
</
p
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<
p
id
="
N16842
"
type
="
main
">
<
s
id
="
N16844
">Rurſus verò dicimus punctum D eiuſdem circuli maio
<
lb
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ris, minus pariter dextrorſum progredi, quam punctum H,
<
lb
/>
quod illi correſpondet in circulo minori. </
s
>
<
s
id
="
N1684B
">Etenim poſt præ
<
lb
/>
dictam reuolutionem centro I tranſlato in M, ac C in
<
lb
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L, punctum D erit in linea AM vbi Q, (nempe in loco,
<
lb
/>
qui tantum ſanè diſter à puncto M, quantum diſtat extre
<
lb
/>
mum D ipſius ſemidiametri DI ab ipſo centro I,) pun
<
lb
/>
ctum verò H ſimiliter erit in R; ita vt ſemidiameter IHD
<
lb
/>
reperiatur in
<
expan
abbr
="
MRq.
">MRque</
expan
>
Quapropter ſi ex duobus punctis QR
<
lb
/>
demittantur duæ perpendiculares in planum DL, quæ ſint
<
lb
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QS, & RT, ſpatium progreſſionis ipſius puncti D, erit
<
lb
/>
linea IQ, æqualis ipſi DS: Spatium verò progreſſionis
<
lb
/>
puncti H, erit linea IR, ſiue DT. Cum igitur minor ſit linea
<
lb
/>
DS ipſa DT, ſiquidem continetur in illa, remanet vt pun
<
lb
/>
ctum D circuli maioris, minus. </
s
>
<
s
id
="
N1686C
">dextrorſum promoueatur
<
lb
/>
quàm punctum H ſibi correſpondens circuli minoris. </
s
>
</
p
>
<
p
id
="
N16871
"
type
="
main
">
<
s
id
="
N16873
">E contra tamen dicimus punctum A circuli maioris am-</
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</
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archimedes
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