Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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24
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xlink:href
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023/01/055.jpg
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los contineant. </
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<
s
id
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s.000496
">Dico ſolidum ab ad ſolidum ace idem ha
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bere proportionem, quam axis de ad axem ef. </
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>
<
s
id
="
s.000497
">Si enim
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axes in eadem recta linea fuerint conſtituti, hæc duo ſoli
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da, in unum, atque idem ſolidum conuenient. </
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>
<
s
id
="
s.000498
">quare ex
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iis, quæ proxime tradita ſunt, habebit ſolidum ab ad ſo
<
lb
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lidum ac eandem proportionem, quam axis de ad ef
<
lb
/>
axem. </
s
>
<
s
id
="
s.000499
">Si uero axes non ſint in eadem recta linea, demittan
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tur a punctis d, ſ perpendiculares ad baſis planum, dg, fh:
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& jungantur eg, eh. </
s
>
<
s
id
="
s.000500
">Quoniam igitur axes cum baſibus
<
lb
/>
æquales angulos continent, erit deg angulus æqualis an
<
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/>
<
figure
id
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id.023.01.055.1.jpg
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xlink:href
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number
="
47
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gulo feh: & ſunt
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anguli ad gh re
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lb
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cti, quare & re
<
lb
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liquus edg æqua
<
lb
/>
lis erit reliquo
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lb
/>
efh: & triangu
<
lb
/>
lum deg
<
expan
abbr
="
triãgu-lo
">triangu
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lb
/>
lo</
expan
>
feh ſimile. </
s
>
<
s
id
="
s.000501
">er
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lb
/>
go gd ad de eſt,
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lb
/>
ut hf ad e: & per
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lb
/>
mutando gd ad
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hf, ut de ad cf. </
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>
<
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/>
<
figure
id
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id.023.01.055.2.jpg
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xlink:href
="
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number
="
48
"/>
<
lb
/>
<
s
id
="
s.000502
">Sed ſolidum ab
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/>
ad ſolidum ac
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lb
/>
eandem propor
<
lb
/>
tionem habet,
<
lb
/>
quam dg altitu
<
lb
/>
do ad
<
expan
abbr
="
altitudinẽ
">altitudinem</
expan
>
<
lb
/>
fh. </
s
>
<
s
id
="
s.000503
">ergo &
<
expan
abbr
="
ean-dẽ
">ean
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lb
/>
dem</
expan
>
habebit,
<
expan
abbr
="
quã
">quam</
expan
>
<
lb
/>
axis de ad ef
<
expan
abbr
="
axẽ
">axem</
expan
>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000504
">Poſtremo ſint
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ſolidi parallepi
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/>
peda ab, cd in </
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>
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</
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</
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</
text
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