DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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pagenum
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82
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ſimilibus ipſi KF inuicem coaptatis, & centra grauitatis inter ſe conue
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nient.
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quia verò in EB facta eſt diuiſio ſemper in duas partes
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ęquales erunt parallelogramma in ED numero paria. </
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<
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conſe〈que〉ns & quę ſunt in EC numero paria. </
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<
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in toto AD numero paria
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expan
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erũt
">erunt</
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.
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Jta〈que〉 quædam erunt magnitudi
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nes æquidiſtantium laterum æquales ipſi KF numero pares,
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hoc eſt o
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mnes, quæ ſunt in AD,
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centraquè grauitatis ipſarum in recta linea
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ſunt conſtituta, & lineæ inter centra ſunt a quales magnitudinis ex ipſis
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omnibus compoſitæ centrum grauitatis erit in recta linea, quæ coniungit
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centra grauitatis mediorum ſpatiorum,
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parallelogrammorum ſcili
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cet LF KF.
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Non est autem; punctum enim H,
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quod ſupponitur
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eſſe centrum grauitatis omnium magnitudinum, hoc eſt pa
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rallelogrammi AD,
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extra media parallelogramma
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LF KF
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exiſtit.
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etenim cùm ſit EK minor HI, linea KS ipſi EF
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abbr
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ęquidiſtãs
">ęquidiſtans</
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>
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lineam HI ipſi EK æquidiſtantem ſecabit, quippè quæ re
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lin〈que〉t punctum H extra figuram KF, ac per conſe〈que〉ns ex
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tra media parallelogramma LF KF. quare punctum H non
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eſt centrum grauitatis parallelogrammi AD, vt ſupponeba
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tur.
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ergo conſtat, centrum grauitatis parallelogrammi ABCD eſſe in re
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cta linea EF.
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quod demonſtrare oportebat. </
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*</
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ex prima
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pręcedenti
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36.
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primi.
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*</
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lemma.
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<
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Græcus codex poſt verba,
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centraquè grauitatis ipſarum in recta
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linea ſunt constituta,
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habet,
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">καὶ τὰ μὲσα ἴσα, καὶ ω̄ὰντα τὰ εφ̓ εκάτεζα
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τῶν μἐσων αυτά τε ἴσα ἐντί</
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>
, quæ quidem omnino ſuperflua nobis
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ui
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a ſunt, &
<
expan
abbr
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tanquã
">tanquam</
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>
ab aliquo addita. </
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<
s
id
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">Nam ſi Archimedes di
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xit omnia parallelogramma eſſe inter ſe, & ęqualia, & ſimilia;
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non opus eſt addere, media LF ES eſſe inter ſe ęqualia, &
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quę ab his ſunrad vtram〈que〉 partem, vt MR KT, NQ GV,
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AP OD, eſſe inter ſe æqualia; cum omnia (vt dictum eſt) ſint
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ęqualia. </
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<
s
id
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">quare verba hęc (meo quidem iudicio) delenda ſunt.
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demonſtrationes enim mathematicę nullum admittunt ſu
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perfluum. </
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<
s
id
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">& Archim edes non tantùm ſuperfluus, quin potiùs
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ob cius breuitatem diminutus ferè videatur. </
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