Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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triangulum mk
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grc
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triangulo nk
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ergo anguli lzk, ozk,
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m
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k, n
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k æquales ſunt, ac recti. </
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<
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id
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s.000140
">quòd cum etiam recti
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marg18
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ſint, qui ad k; æquidiſtabunt lineæ lo, mn axi bd. </
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<
s
id
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s.000141
">& ita
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demonſtrabuntur lm, on ipſi ac æquidiſtare. </
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<
s
id
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s.000142
">Rurſus ſi
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iungantur al, lb, bm, mc, cn, nd, do, oa: & bifariam di
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lb
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uidantur: à centro autem k ad diuiſiones ductæ lineæ pro
<
lb
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trahantur uſque ad ſectionem in puncta pqrstuxy: & po
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ſtremo py, qx, ru, st, qr, ps, yt, xu coniungantur. </
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<
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">Simili
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number
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<
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/>
ter oſtendemus lineas
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py, qx, ru, st axi bd æ
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quidiſtantes eſſe: & qr,
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ps, yt, xu æquidiſtan
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tes ipſi ac. </
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>
<
s
id
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s.000144
">Itaque dico
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harum figurarum in el
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lipſi deſcriptarum cen
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trum grauitatis eſſe
<
expan
abbr
="
pũ-ctum
">pun
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ctum</
expan
>
k, idem quod & el
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lipſis centrum. </
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>
<
s
id
="
s.000145
">quadri
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lateri enim abcd cen
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trum eſt k, ex decima e
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lb
/>
iuſdem libri Archime
<
lb
/>
dis, quippe
<
expan
abbr
="
cũ
">cum</
expan
>
in eo om
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/>
nes diametri
<
expan
abbr
="
cõueniãt
">conueniant</
expan
>
. </
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>
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<
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id
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s.000146
">Sed in figura albmcn
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do, quoniam trianguli
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alb centrum grauitatis
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eſt in linea le:
<
expan
abbr
="
trapezijq́
">trapezijque</
expan
>
; abmo centrum in linea ek: trape
<
lb
/>
zij omcd in kg: & trianguli cnd in ipſa gn: erit magnitu
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lb
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dinis ex his omnibus conſtantis, uidelicet totius figuræ cen
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trum grauitatis in linea ln: & ob eandem cauſſam in linea
<
lb
/>
om. </
s
>
<
s
id
="
s.000147
">eſt enim trianguli aod centrum in linea oh: trapezij
<
lb
/>
alnd in hk: trapezij lbcn in kf: & trianguli bmc in fm. </
s
>
<
lb
/>
<
s
id
="
s.000148
">cum ergo figuræ albmcndo centrum grauitatis ſit in li
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nea ln, & in linea om; erit centrum ipſius punctum k, in </
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