DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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BD quadruplam eſſe ipſius KF. & vbi hoc demonſtratum
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erat, ibi quo〈que〉 pro ſigno poſita fuerit littera H. quod qui
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dem oſtenſum eſt à nobis paulò ante ſecundam huius propoſi
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tionem; vbi etiam appoſuim us pro ſigno hanc literam H. </
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A</
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Rurſum in demonſtratione paulò infra Archimedes dixit,
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Hoc enim demonstratum eſt
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, ſcilicet BD ipſius BS quadruplam
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eſſe. </
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id
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">ſupponit autem hoc tanquam demonſtratum poſt pri
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mam
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abbr
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propoſitionẽ
">propoſitionem</
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huius, vbi tota BD eſt ſexdccim, & BS qua
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tuor, vt eodem in loco oſtenſum fuità nobis. </
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id
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">Vel ad ea re
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ſpexit Archimedes, quæ ab ipſo in decimanona propoſitione
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de quadratura paraboles demonſtra ta fuerunt. </
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<
s
id
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N16D64
">vbi circa
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abbr
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finẽ
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demonſtrationis oſtendit BD quadruplam eſſe ipſius BS. </
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B</
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<
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">Inuento ita〈que〉 centro grauitatis paraboles, vult Archime
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des in ueſtigare centrum grauitatis fruſti à parabole abſciſſi.
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〈que〉madmodum in primo libro poſt inuentionem centri gra
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uitatis trianguli, adinuenit etiam centrum grauitatis trapezij.
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quod eſt tan quam fruſtum à triangulo abſciſsum. </
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<
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id
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">quare duo
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adhuc theoremata proponit, in quorum poſtremo, vbi ſit
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cẽ
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trum grauitatis fruſti demonſtrat. </
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<
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id
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">in ſe〈que〉nri verò quædam
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demonſtrat neceſſaria, vt huiuſmodi centrum determinare
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poſſit. </
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<
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id
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">Quoniam autem ſe〈que〉ns theorema arduum, difficile
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què ſeſe offert; non nulla priùs quibuſdam lemmatibus oſten
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demus, ne ſi in demonſtratione ea inſererentur, longa nimis
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euaderet, ac tædioſa demonſtratio. </
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<
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id
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">quæ quidem ſumma indi
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get attentione. </
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<
s
id
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">quamquàm in hoc theoremate explicando ad
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vitandam obſcuritatem copioſum ſermonem adhibendum
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curauimus; ne breuitati ſtudentes obſcuriores eſſemus. </
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<
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<
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">LEMMA. I.</
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<
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id
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">Si qua tuor magnitudines in continua fuerint proportione,
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& earum exceſſus in eadem erunt proportione
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. </
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