DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
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">PROBLEMA.</
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<
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">Cuiuſlibet rectilineę figurę centrum grauitatis inuenire. </
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<
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N143EC
">Triangulorum centrum grauitatis iam ab Archimede de
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monſtratum eſt. </
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type
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<
s
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">Sit ita〈que〉 primùm quadri
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laterum ABCD, cuius opor
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teat centrum grauitatis inue
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nire. </
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<
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">Ducatur AC, quæ qua
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drilaterum in duo triangula
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ABC ACD diuidet. </
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<
s
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N14405
">à
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expan
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pũctiſ-què
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què</
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BD ad AC perpendicu
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lares ducantur BE DF. In
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ueniantur deinde ex dictis
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abbr
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cẽ
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>
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tra grauitatis triangulorum
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ABC ACD. ſintquè puncta
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GH. iungaturquè GH, quæ diuidatur in K, ita vt GK
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ad KH ſit, vt DF ad BE. Dico punctum K centrum
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eſſe grauitatis quadrilateri ABCD. Quoniam enim triangu
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la ABC ACD in eadem ſunt baſi AC, erunt inter ſeſe, vt al
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titudines. </
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<
s
id
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">quare triangulum ACD ita ſe habet ad
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abbr
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triangulũ
">triangulum</
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>
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ABC, vt DF ad BE. hoc eſt GK ad KH.
<
expan
abbr
="
punctũ
">punctum</
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ergo K
<
expan
abbr
="
cẽ
">cem</
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>
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trum eſt grauitatis magnitudinisex vtril què triangulis
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ACD compoſitæ; hoc eſt quadrilateri ABCD. </
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<
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ex 6.h
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number
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<
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type
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<
s
id
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">Sit autem pentagonum
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<
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n
="
fig54
"/>
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ABCDE.
<
expan
abbr
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iungãturquè
">iunganturquè</
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>
AC
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AD. inueniaturquè
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expan
abbr
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triãgu
">triangu</
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>
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li ABC centrum grauitatis
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H. quadrilateri verò ACDE
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ex proximè
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abbr
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demõ
">demom</
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ſtratis
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abbr
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cẽ-trum
">cen
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trum</
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>
grauitatis inueniatur
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Iam vti〈que〉 conſtat (du
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cta HK) centrum grauita
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tis totius ABCDE in linea </
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</
archimedes
>