DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
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">Pariquè ratione ſi quin〈que〉 fuerint magnitudines, eodem
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modo tres mediæ
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abbr
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iũgatur
">iungatur</
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ſimul, ita vttres ſint
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dũtaxat
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magni
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tudines. </
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<
s
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N1357C
">& ſic in infinitum. </
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<
s
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">quod demonſtrare oportebat. </
s
>
</
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head
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<
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<
s
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<
s
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">quòd ſi fuerint quotcun〈que〉 magnitudi
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nes proportionales; & alię ipſis numero æquales, & in eadem
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proportione, vt ſcilicet ſit (vt in prima figura) A ad B, vt C
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ad D, B verò ad E, vt D ad F. deinde vt E ad G, ſic F
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ad H, & ita deinceps, ſi plures fuerint magnitudines, ſi
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militer erit A ad omnes BEG ſimul ſumptas, vt C ad om
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nes ſimul DFH. </
s
>
</
p
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<
p
id
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type
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<
s
id
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">Primùm quidem A eſt ad B, vt C ad D. & quoniam ma
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gnitudines ſunt proportionales, ex ęquali erit A ad E, vt
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ad F. ſimiliter A ad G, vt C ad H. Ex quibus ſequitur
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A ad BE ſimul ita eſſe, vt C ad DF. A verò ad omnes
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BEG ſimul, vt C ad omnes ſimul DFH. & ita ſi plures fue
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rint magnitudines. </
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22.
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quinti.
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<
s
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">LEMMA. III. </
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<
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">Sit triangulum ABC, cuiuslatus BC in quotcun〈que〉 di
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uidatur partes æquales BE ED DF FC. & a punctis EDF
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ipſi AB equidiſtanres ducantur EG DH FK. rurſus à pun
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ctis GHK ipſi BC ęquidiſtantes ducantur GL HM KN.
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Dico triangulum ABC ad omnia triangula ALG GMH
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HNK KFC ſimulſumpta eandem habere proportionem,
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quam habet CA ad AG. </
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</
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