DelMonte, Guidubaldo
,
Mechanicorvm Liber
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Exponatur potentia in A pondus B ſuſti
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nens, proportionemq; habeat pondus B ad
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potentiam in A, vt quinq; ad vnum; hoc eſt,
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ſit potentia in A ſubquintupla ponderis B: de
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inde eodem fune circa alios orbiculos reuo
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luto inueniatur potentia in C, quæ tripla ſit
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potentiæ in A. </
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">& quoniam pondus B ad po
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tentiam in A eſt, vt quinq; ad vnum; &
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potentia in A ad potentiam in C eſt, vt vnum
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ad tria; erit pondus B ad potentiam in C, vt
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quinq; ad tria; hoc eſt ſuperbipartiens. </
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Ex
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9
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huius.
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Ex
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17
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huius.
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<
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">Et hoc modo omnes proportiones ponde
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ris ad potentiam ſuperpartientes inuenientur;
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vt ſi ſupertripartientem quis inuenire volue
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rit; eodem incedat ordine; fiat ſcilicet poten
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tia in A ſuſtinens pondus B ſubſeptupla ip
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ſius ponderis B; deinde fiat potentia in C ip
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ſius A quadrupla; erit pondus B ad poten
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tiam in C, vt ſeptem ad quatuor: vídelicet
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ſupertripartiens. </
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">Si verò in C ſit potentia mo
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uens pondus erit ſpatium
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ſpatii ponderis ſuperbipartiens.
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Spatium enim potentiæ in C tertia pars
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eſt ſpatii potentiæ in A, ita videlicet ſe habent,
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vt quinq; ad quindecim; & ſpatium potentiæ
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in A quintuplum eſt ſpatii ponderis B, hoc
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eſt, vt quindecim ad tria; erit igitur ſpatium
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potentiæ in C ad ſpatium ponderis B, vt
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quinq; ad tria; videlicet ſuperbipartiens. </
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<
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">& ſemper oſtendemus, ita
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eſſe ſpatium potentiæ mouentis ad ſpatium ponderis; vt pondus
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ad potentiam pondus ſuſtinentem. </
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17
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Huius.
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14
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Huius.
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<
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