Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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xlink:href
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023/01/038.jpg
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id
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id.023.01.038.1.jpg
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<
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linea x cum ſit minor circulo, uel ellipſi, eſt etiam minor fi
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gura rectilinea y. </
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<
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id
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s.000357
">ergo pyramis x pyramide y minor erit. </
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<
lb
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<
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id
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s.000358
">Sed & maior; quod fieri
<
expan
abbr
="
nõ
">non</
expan
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poteſt. </
s
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<
s
id
="
s.000359
">At ſi conus, uel coni por
<
lb
/>
tio x ponatur minor pyramide y: ſit alter conus æque al
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tus, uel altera coni portio X ipſi pyramidi y æqualis. </
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>
<
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id
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s.000360
">erit
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eius baſis circulus, uel ellipſis maior circulo, uel ellipſi x,
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lb
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quorum exceſſus ſit ſpacium
<
foreign
lang
="
grc
">ω.</
foreign
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Si igitur in circulo, uel eili
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lb
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pſi X figura rectilinea deſcribatur, ita ut portiones relictæ
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ſint
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foreign
lang
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grc
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ſpacio minores, ciuſmodi figura adhuc maior erit cir
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culo, uel ellipſi x, hoc eſt figura rectilinea y. </
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>
<
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id
="
s.000361
">& pyramis in
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ca conſtituta minor cono, uel coni portione X, hoc eſt mi
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nor pyramide y. </
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>
<
s
id
="
s.000362
">eſt ergo ut X figura rectilinea ad figuram
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rectilineam y, ita pyramis X ad pyramidem y. </
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>
<
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id
="
s.000363
">quare cum
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figura rectilinea X ſit maior figura y: erit & pyramis X py
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ramide y maior. </
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>
<
s
id
="
s.000364
">ſed erat minor; quod rurſus fieri non po
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teſt. </
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<
s
id
="
s.000365
">non eſt igitur conus, uel coni portio x neque maior,
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neque minor pyramide y. </
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<
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id
="
s.000366
">ergo ipſi neceſſario eſt æqualis. </
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<
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/>
<
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id
="
s.000367
">Itaque quoniam ut conus ad conum, uel coni portio ad </
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