DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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Sint duo ſpacia AB CD, qualia dicta ſunt. </
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<
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N14BBD
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grauitatis ſint puncta EF.
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iungaturquè EF, quæ diuidatur in
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H;
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emph
type
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italics
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& quam proportionem habet AB ad CD,
<
expan
abbr
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eãdem
">eandem</
expan
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habeat FH
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lb
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ad HE. oſtendendum eſt magnitudmis ex utriſquè AB CD ſpa
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ciis compoſitæ centrum grauitaias eſſe punctum H. ſit quidemipſi EH
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utra〈que〉 ipſarum FG FK æqualis; ipſi autem FH, hocest GE
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emph.end
type
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<
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(ſuntenim EH GF æquales, à quibus dempta communi
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GH remanent EG HF ęquales)
<
emph
type
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ſit æqualis EL.
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type
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&
<
expan
abbr
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quoniã
">quoniam</
expan
>
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FH eſt æqualis LE, & FK ipſi EH,
<
emph
type
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italics
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erit & LH ipſi KH
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æqualis.
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emph.end
type
="
italics
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Cùm autem ſit FH ad HE, vt AB ad CD; ipſi
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verò FH vtra〈que〉 ſit æqualis LE EG. ipſi autem HE vtra
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〈que〉 æqualis GF FK,
<
emph
type
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italics
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erit
<
expan
abbr
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etiã
">etiam</
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ut LG ad G
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emph.end
type
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k,
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type
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ita AB ad CD.
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type
="
italics
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cùm ſit LG ad GK, vt FH ad HE;
<
emph
type
="
italics
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aupla enim est utra〈que〉
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emph.end
type
="
italics
"/>
<
lb
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EG GK
<
emph
type
="
italics
"/>
utriuſ〈que〉
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emph.end
type
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FH HE.
<
emph
type
="
italics
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At uerò circa punctum
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E
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emph
type
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ipſius
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AB,
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quod eſt eius centrum grauitatis,
<
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type
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italics
"/>
ex utra〈que〉 parte lineæ LG,
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ipſi LG æquidistantes ducantur
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type
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MO QN, quæ æqualiter ab
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LG diſtent, ductis ſcilicet MQ ON æquidiſtantibus, ſint
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LM LQ GO GN inter ſe æquales;
<
emph
type
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italics
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ita ut ſpacium MN ſit
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ſpacio AB æquale
<
emph.end
type
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"/>
: quod quidem applicatum eſt ad
<
expan
abbr
="
lineã
">lineam</
expan
>
LG.
<
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/>
<
arrow.to.target
n
="
marg201
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<
emph
type
="
italics
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erit uti〈que〉 ipſius MN centrum grauitatis punctum E.
<
emph.end
type
="
italics
"/>
cùm ſit
<
expan
abbr
="
pũ-ctum
">pun
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/>
ctum</
expan
>
E in medio lineæ LG, quæ bifariam diuidit latera
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oppoſita MQ ON parallelogrammi MN.
<
emph
type
="
italics
"/>
compleatur ita
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〈que〉 ſpacium NX. habebit quidem MN. ad NX proportionem,
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type
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italics
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