Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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<
chap
id
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N10019
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N15DC1
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type
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main
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<
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pagenum
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<
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quidem ad
<
expan
abbr
="
ipsũ
">ipsum</
expan
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B, B verò ad
<
expan
abbr
="
ipsũ
">ipsum</
expan
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D eadem celeritate. </
s
>
<
s
id
="
N15DF7
">Feratur
<
lb
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<
expan
abbr
="
autẽ
">autem</
expan
>
& ipſa AB in ipſi AC iuxta CD
<
expan
abbr
="
eadẽ
">eadem</
expan
>
celeritate
<
expan
abbr
="
cũ
">cum</
expan
>
illis.
<
lb
/>
</
s
>
<
s
id
="
N15E08
">Neceſſe igitur eſt A quidem in ipſa AD diametro ferri, B verò
<
lb
/>
in ipſa BC, & vtranque ſimul pertranſiſſe, & ipſam AB
<
expan
abbr
="
ipſũ
">ipſum</
expan
>
<
lb
/>
latus AC: latum enim ſit ipſum A ipſam AE, AB autem ipſam
<
lb
/>
AF, & proiecta ſit FG iuxta ipſum AB, & ab ipſo E ſimiliter
<
lb
/>
repleatur. </
s
>
<
s
id
="
N15E17
">Similiter igitur fit quod
<
expan
abbr
="
repletũ
">repletum</
expan
>
eſt, ipſi toti: æqualis
<
lb
/>
igitur AF ipſi AE. </
s
>
<
s
id
="
N15E21
">Ipſa autem AB ipſam AF lata erit: in dia
<
lb
/>
metro igitur erit ſecundum K, & ſemper neceſſe eſt ipſum fer
<
lb
/>
ri ſecundum diametrum, & ſimul AB latus pertranſit latus
<
lb
/>
AC, & ipſum A diametrum pertranſit AD. </
s
>
<
s
id
="
N15E2B
">Similiter etiam
<
lb
/>
demonſtrabitur & ipſum B in ipſa BC diametrum lato, æqua
<
lb
/>
lis enim eſt ipſa BE ipſi BG. </
s
>
<
s
id
="
N15E33
">Repleto igitur ab ipſo G quod in
<
lb
/>
tus eſt, toti eſt ſimile, & ipſum B in ipſa diametro erit ſecun
<
lb
/>
dum laterum connexionem. </
s
>
<
s
id
="
N15E3A
">Et ſimul latus pertranſit latus, &
<
lb
/>
B ipſum BC diametrum. </
s
>
<
s
id
="
N15E3F
">Simul igitur Amultò plus ipſa AB
<
lb
/>
pertranſit, & ipſum latus minus latus eadem lata teleritate:
<
lb
/>
& ipſum latus maiorem quàm B pertranſiuit vna
<
expan
abbr
="
latũ
">latum</
expan
>
latio
<
lb
/>
ne. </
s
>
<
s
id
="
N15E4C
">Quantò enim acutior fuerit rhombus, diameter quidem
<
lb
/>
minor fit, AC autem maior; latus verò ipſius BC minus. </
s
>
<
s
id
="
N15E51
">Ab
<
lb
/>
ſurdum eſt enim (vt dictum eſt) id quod duabus fertur latio
<
lb
/>
nibus, aliquando ferri tardius illo, quo fertur vnica, & vtriſ
<
lb
/>
que poſitis æquali velocitate punctis, alterum pertranſire ma
<
lb
/>
iorem Cauſa autem eſt quoniam ei, quod ab obtuſo fertur an
<
lb
/>
gulo, ambæ ferè contrariæ fiunt lationes, & illa ſecundum
<
lb
/>
quam ipſum fertur, & illa ſecundum quam ipſum à latere de
<
lb
/>
fertur. </
s
>
<
s
id
="
N15E62
">Ei autem quod ab acuto fertur, accidit vt ad idem fe
<
lb
/>
ratur. </
s
>
<
s
id
="
N15E67
">Coadiuuat enim quæ ipſius eſt lateris,, illam quæ eſt ſu
<
lb
/>
per diametrum. </
s
>
<
s
id
="
N15E6C
">Et quantò hunc quidem acutiorem feceris,
<
lb
/>
illum verò obtuſum magis: hæc quidem tardior erit, illa verò
<
lb
/>
celerior. </
s
>
<
s
id
="
N15E73
">Hæ quidem igitur magis contrariæ fiunt, quoniam
<
lb
/>
obtuſior fit angulus: illæ verò ad idem magis, quoniam lineæ
<
lb
/>
coarctantur. </
s
>
<
s
id
="
N15E7A
">Ipſum enim A ferè ad idem fertur ſecundum
<
lb
/>
ambas lationes. </
s
>
<
s
id
="
N15E7F
">Coadiuuatur igitur altera & quantò ſanè
<
lb
/>
acutior fuerit angulus, tantò magis ipſum A ad contrarium,
<
lb
/>
ipſum enim ad B fertur, latus autem defert ipſum ad D. </
s
>
<
s
id
="
N15E87
">Et
<
lb
/>
quantò ſanè obtuſior fuerit angulus, magis contrariæ fiunt
<
lb
/>
lationes, rectior enim efficitur linea. </
s
>
<
s
id
="
N15E8E
">Si autem omnino recta
<
lb
/>
fieret penitus vtique eſsent contrariæ. </
s
>
<
s
id
="
N15E93
">Latus verò ſecundum
<
lb
/>
vnicam latam lationem à nullo præpeditur, rationabiliter igi
<
lb
/>
tur maiorem pertranſit.
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type
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italics
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