DelMonte, Guidubaldo
,
Mechanicorvm Liber
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perpendicularis cadet. </
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duo enim anguli vnius
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trianguli, vnus quidem
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rectus, alter verò ob
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tuſus eſſet. </
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<
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poſsibile. </
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<
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linea OT in parte VT. </
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<
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<
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dùm ipſos rectus circum
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ferentiæ OP deſcenſus. </
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Quoniam igitur angulus
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ONV eſt rectus; erit
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linea OV ipſa ON ma
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ior. </
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<
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">quare OT ipſa
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quoq; ON maior exiſtet. </
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">Cùm itaq; linèa OP angulos ſubten
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dat rectos ONP OTP; erit quadratum ex OP quadratis ex
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ON NP ſimul ſumptis æquale. </
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ſimul æquale. </
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<
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">quare quadrata ſimul ex ON NP quadratis ex
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OT TP ſimul æqualia erunt. </
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<
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id
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id.2.1.29.2.1.19.0
">quadratum autem ex OT maius
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eſt quadrato ex ON; cum linea OT ſit ipſa ON maior. </
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<
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dratum ex NP maius erit quadrato ex TP. </
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<
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TP minor erit linea PN, & linea LX. </
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<
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">minus obliquus igitur eſt
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deſcenſus arcus LA, quàm arcus OP. </
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<
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">ergo pondus in L, ex ip
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ſorum dictis, grauius erit, quàm in O. quod ex iis, quæ ſupra di
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ximus eſt manifeſtè falſum, cùm pondus in O grauius ſit, quàm
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in L. </
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<
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">non igitur ex rectiori, & obliquiori motu ita accepto col
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ligi poteſt, ſecundùm ſitum pondus grauius eſſe, quantò in eo
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dem ſitu minus obliquus eſt deſcenſus. </
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<
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">Atq; hinc oritur omnis
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fermé ipſorum error in hac re, atq; deceptio: nam quamuis per
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accidens interdum ex falſis ſequatur verum, per ſe tamen ex fal
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ſis falſum ſequitur, quemadmodum ex veris ſemper verum, nil
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idcirco mirum, ſi dum falſa accipiunt; illiſq; tanquam veriſsi
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mis innituntur; falſiſsima omninò colligunt, atq; concludunt. </
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decipiuntur quinetiam, dùm libræ contemplationem mathemati
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cè ſimpliciter aſſummunt; cùm eius conſideratio ſit prorſus me
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chanica: nec vllo modo abſq; vero motu, ac ponderibus (en</
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