Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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eiuſdem AC ſit vt XS ad V. igitur duæ antecedentes
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RX, & XS ad V, ſcilicet RS ad V eamdem propor
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tionem habebit quam raritas ſpecifica aggregati ex
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EF, & FG ad raritatem AC, ſuntquè moles EH, &
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AC æquales, ergo eorum raritates abſolutæ ſunt pro
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portionales ſpecificis, ſcilicèt ſe habent vt RS ad V.
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quod erat, &c. </
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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PROP. XCII.
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Cylindrum compoſitum ex duobus cylindris inæqualitèr ra
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ris transformare in cylindrum ſimilitèr excauatum,
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cuius pars continens homogenea, & æqualis ſit.
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<
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">vni illorum, pars verò excauata homo
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genea, & æqualis ſit reliquo.
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<
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dus AC, compoſitus ex
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duobus cylindris AD, & DB
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inæqualitèr raris alium cy
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lindrum ſimilitèr
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excauatũ
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æqualem, & ſimilem illi de
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ſcribere, cuius pars continens æqualis, & homoge
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nea ſit ipſi AD, contenta verò æqualis, & homoge
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nea ſit ipſi DB. reperto centro
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q.
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cylindricæ figuræ
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AC coniungantur rectæ AQ, BQ ad terminos lateris
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cylindri AB, & fiat triangulum ENF ſimile, & æqua
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le ipſi AQB. poſtea inter AB, & MB reperiantur duæ
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mediæ proportionales, quarum maior ſit PB (vt do
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cuimus lib. 5. conic. </
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<
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