DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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1HK exiſtere. Rurilus trianguli ADE centrum inueniatur F
quadrilateri verò ADCB punctum G. iungaturquè GF. e
eodem modo centrum grauitatis totius ABCDE in linea F
ſed eſt quo〈que〉 in linea HK, ergo vbrſe inuicem ſecant, vt
L, centrum erit grauitatis pentagoni ABCDE.
73[Figure 73]
In hexagonis ſimiliter.

vt ABCDEF iungantur
AC AE, deinceps inuenia
tur trianguli ABC centrum
grauitatis G, pentagoni
verò ACDEF ex dictis cen
trum ſit H. ductaquè GH
centrum grauitatis totius
ABCDEF erit in linea GH
ſimiliter centrum grauita­
tis trianguli AFE ſit K, pem
tagoni verò AEDCB ſit L, iunctaquè KL, erit centrum gr
uitatis totius hexagoni in linea KL. verùm eſt etiam in lin
GH. ergo errt in M. in quo GH KL ſe inuicem ſecant.
74[Figure 74]
Nequè aliter in heptago

no ABCDEFG, in quo du
cantur BG CE. trianguli
verò ABG centrum graui­
tatis ſit H. hexagoni autem
GBCDEF, ſit K. deinde
trianguli CDE centrum gra
uitatis ſit L, hexagoni ve­
rò CEFGAB ſit M. iun­
ctiſquè HK ML, eadem ra
tione centrum grauitatis
totius heptagoni erit in vtraquè linea Hk LM. ergo erit in
*
75[Figure 75]
Eodemquè prorſus modo in octagono, & in alijs demc
figuris centrum graui tatis inuenietur. quæ quidem facere
portebat.

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