DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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in primis magnitudinibus antecedens
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OD ad
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conſe〈que〉ns
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DA
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eandem habet proportionem, quam
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in ſecundis magnitudinibus an
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tecedens
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EB cum dupla ipſius BD ad
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conſe〈que〉ns,
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lineam
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ſcilicet
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æ
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qualem lineæ compoſitæ ex dupla vtriuſ〈que〉 ſimul AB BE cum quadru
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pla vtriuſ〈que〉 ſimul CB BD; est autem
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(vt antea oſtenſum eſt) &
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in primis magnitudinibus conſe〈que〉ns
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AD ad
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aliud
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quippiã
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DE, vt
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in ſecundis magnitudinibus aliud quippiam, linea
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ſcilicet
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compoſita ex dupla ipſius AB, & tripla ipſius CB, &
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ſola
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BD
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ad
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antecedens, nempè
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lineam
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æqualẽ
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ipſi EB, & duplæ ipſius BD.
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Non igitur perinde, vt in proportione ordinata; hoc est, perturbata
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exiſtẽ
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te proportione, ex æqualiest OD ad DE, vt duplaipſius AB cum tripla
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ipſius BC &
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ſola
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BD ad
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cõpoſitam
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ex dupla vtriuſ〈que〉 ſimul AB BE,
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& quadrupla vtriuſ〈que〉 ſimul CB BD.
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ſuperat verò DE ipſam
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DO exceſſu OE; linea verò
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cõpoſita
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ex dupla vtriuſ〈que〉 ſimul
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AB BE, & quadrupla vtriuſ〈que〉 ſimul CB BD lineam excedit
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compoſitam ex dupla ipſius AB cum tripla ipſius BC, ac ſola
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BD, exceſſu lineæ, quæ ſit æqualis ſoli CB cum tripla ipſius
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BD, & dupla ipſius BE.
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Quare est EO ad ED, vt CB cum tripla
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ipſius BD, & dupla ipſius EB ad duplam vtriuſ〈que〉 ſimul AB BE,
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& quadruplam vtriuſ〈que〉 ſimul CB BD. est autem
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in lineis </
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