DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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bent proportionem, quam NH ad HR.
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linea igitur, quæ eandem
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habeat proportionem ad HR, quam parallelogramma MN
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kX FO ad circumrelicta triangula, maior erit, quàm VH
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Fiat itaquè in eademproportione QH ad HR, ut parallelogramma ad
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triangula;
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erit vti〈que〉 QH maior, quam VH.
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Quoniam igitur eſt
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magnitudo ABC, cuius centrum grauitatis est H, & ab ea magnitudo
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auferatur compoſita ex MN
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k
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X FO parallelogrammis; & magnitudi
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nis ablatæ centrum grauitatis eſt punctum R; magnitudinis reliquæ ex
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circumrelictis triangulis compoſitæ centrum grauitatis erit in recta li-
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nea RH
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ex parte H
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producta, aſſumptaquè aliqua
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vt, QH,
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quæ ad
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HR eam habeat proportionem, quam habet magnnudo
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ex parallelo
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grammis MN KX FO conſtans
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ad reliquum,
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hoc eſt ad reli
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qua triangula,
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ergo punctum Q centrum est grauitatis magnitudinis
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ex ipſis circumrelictis
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triangulis
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compoſitæ. </
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enim recta linea
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per Q ipſi AD æquidistante in
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eodem
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plano
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<
expan
abbr
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triã
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guli ABC,
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in ipſa eſſent omnia centra
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grauitatis trian
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gulorum,
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hoc est in vtram〈que〉 partem
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Q
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Q
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>
, centraquè
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grauitatis trianguli ALM, ac centrum magnitudinis ex vtriſ
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què triangulis LGN MK
<
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lang
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grc
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foreign
>
<
expan
abbr
="
cōpoſitę
">compoſitę</
expan
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in parte Q
<
foreign
lang
="
grc
">θ</
foreign
>
eſſe
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expan
abbr
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deberẽt
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. </
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