DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
archimedes
>
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text
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body
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<
chap
id
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N1043F
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<
pb
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="
8
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xlink:href
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036/01/029.jpg
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id.2.1.13.1.0.0.0
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type
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<
s
id
="
id.2.1.13.1.2.1.0
">Sed neque prætereundum
<
lb
/>
eſt, ipſos in demonſtratio
<
lb
/>
ne angulum KEG maiorem
<
lb
/>
eſſe angulo HDG, tanquam
<
lb
/>
notum accepiſſe. </
s
>
<
s
id
="
id.2.1.13.1.2.2.0
">quod eſt
<
lb
/>
quidem verum, ſi DHEK
<
lb
/>
inter ſe ſe ſint æquidiſtan
<
lb
/>
tes. </
s
>
<
s
id
="
id.2.1.13.1.2.3.0
">Quoniam autem (vt
<
lb
/>
ipſi quoque ſupponunt) li
<
lb
/>
neæ DHEK in centrum
<
lb
/>
mundi conueniunt; lineæ
<
lb
/>
DHEK æquidiſtantes nun
<
lb
/>
quam erunt, & angulus KEG
<
lb
/>
angulo HDG non ſolum
<
lb
/>
maior erit, ſed minor. </
s
>
<
s
id
="
id.2.1.13.1.2.4.0
">vt
<
lb
/>
exempli gratia, producatur
<
lb
/>
FG vſque ad centrum mun
<
lb
/>
di, quod ſit S; connectan
<
lb
/>
tur〈qué〉 DSES. </
s
>
<
s
id
="
N10AF9
">oſtenden
<
lb
/>
dum eſt angulum SEG mi
<
lb
/>
norem eſſe angulo SDG. </
s
>
<
s
id
="
id.2.1.13.1.2.4.0.a
">du
<
lb
/>
<
figure
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place
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xlink:href
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number
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<
lb
/>
catur à puncto E linea ET circulum DGEF contingens, ab eo
<
lb
/>
dem〈qué〉 puncto ipſi DS æquidiſtans ducatur EV. </
s
>
<
s
id
="
id.2.1.13.1.2.4.0.b
">Quoniam igi
<
lb
/>
tur EVDS inter ſe ſe ſunt æquidiſtantes: ſimiliter ETDO æqui
<
lb
/>
diſtantes: erit angulus VET angulo SDO æqualis. </
s
>
<
s
id
="
id.2.1.13.1.2.5.0
">& angulus
<
lb
/>
TEG angulo ODM eſt æqualis; cum à lineis contingentibus,
<
lb
/>
circumferentiiſ〈qué〉 æqualibus contineatur: totus ergo angulus
<
lb
/>
VEG angulo SDM æqualis erit. </
s
>
<
s
id
="
id.2.1.13.1.2.6.0
">Auferatur ab angulo SDM
<
lb
/>
angulus curuilineus MDG; ab angulo autem VEG angulus au
<
lb
/>
feratur VES; & angulus VES rectilineus maior eſt curuilineo
<
lb
/>
MDG; erit reliquus angulus SEG minor angulo SDG. </
s
>
<
s
id
="
id.2.1.13.1.2.6.0.a
">
<
lb
/>
Quare ex ipſorum ſuppoſitionibus non ſolum pondus in D gra
<
lb
/>
uius erit pondere in E; verùm è conuerſo, pondus in E ipſo D
<
lb
/>
grauius exiſtet. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
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