Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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tus, quàm deterritus lapſu, vehementerque dolens geo
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metriæ partem tamdiu deſiderari cognitione digniſſimam;
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cum ante exercitationis cauſa omnium, quæ propoſui ſoli
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dorum, excepto conoide parabolico, centra grauitatis aliis
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viis indagaſſem; poſtea non ſolum parabolici, ſed ante me
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tentata nemini, hyperbolici conoidis, & fruſti vtriuſque, &
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portionis vtriuſque conoidis, & portionis fruſti, & hemi
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ſphærij, & hemiſphæroidis, & cuiuſlibet portionis ſphæ
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ræ, & ſphæroidis vno, & duobus planis parallelis abſciſſæ
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<
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cẽtra
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grauitatis adinueni, multa autem ex his duplici, quæ
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dam triplici via. </
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<
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>Taceo nunc alia eiuſdem generis, quæ
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cum vtilia, tum geometriæ ſtudioſis non iniucunda, vt arbi
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tror, futura in poſteriores libros diſtribuimus. </
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<
s
>Quòd autem
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aliquot propoſitiones, alias Archimedis lemmaticas, alias
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Commandini meis rationibus attuli demonſtratas; non tàm
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idcirco id fcci, ne meæ lucubrationes
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abbr
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deperirẽt
">deperirent</
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, quàm quòd
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vel ſtylo Euclidis magis conſonæ, vel ad percipiendum eo
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minus laborioſæ, quo ad inueniendum ſunt difficiliores,
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vel meo propoſito aptiores viderentur. </
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<
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>Earum propoſitio
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num, Archimedis duo ſunt in primo libro, decimaquarta,
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& ſeptima, & ſecunda pars vigeſimæ; in ſecundo autem vna.
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</
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<
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>Omne conoides parabolicum ſeſquialterum eſſe coni ean
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dem baſim, & eandem altitudinem habentis. </
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<
s
>Comman
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dini autem omnes in primo libro nouem; vigeſima tertia, &
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quinta: trigeſima ſecunda, tertia, quarta, ſeptima, & nona:
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quadrageſima prima, & ſecunda. </
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<
s
>Sed multa hic noua inue
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nies ita ad præſens inſtitutum neceſſaria, vt per ſe
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tamẽ
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ipſa
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in geometria locum habere debeant, maxime verò tres pri
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mæ ſecundi libri propoſitiones, quippe quibus magnam, ac
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perdifficilem geometriæ partem demonſtratione recta, &
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generali ad viam regiam redactam eſse intelliges. </
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<
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>Ita Deus
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Opt. Max. cuius auxilio hæc feci, quibus prodeſse alicui
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vehementer cupio, reliquis meis conatibus opem ferat. </
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<
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>Sed
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ad definitiones accedamus. </
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