DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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19.
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quinti.
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<
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">Si tres fuerint magnitudines, & aliæ ipſis numero æquales,
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& in eadem proportione, in primis magnitudinibus prima;
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& ſecunda ad tertiam erunt, vt in ſecundis magnitudinibus
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prima & ſecunda ad tertiam. </
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">Sint tres magnitudines ABC, & aliæ tres DEF in
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eadẽ
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pro
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portione. </
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">Dico AB ſimul ad C ita eſſe, vt DE ſimul ad F.
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Quoniam enim A ad B eſt, ut D ad E, erit
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componẽdo
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AB
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ad B, ut DE ad E. ſed vt B ad C, ita eſt E ad F. ergo ex ęquali
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AB ſimul ad C eſt, vt DE ſimul ad F. quod demonſtrare opor
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tebat. </
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18,
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quinti.
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22.
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quinti.
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type
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<
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">LEMMA. III.</
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<
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">Si fuerit AB ad AC, vt DE ad DF. Dico exceſſum BC ad
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CA ita eſſe, vt exceſſus EF ad FD. </
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cor.
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4.
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<
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quĩti
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<
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<
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">Quoniam enim eſt AB ad AC, vt DE ad DF, erit </
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</
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