Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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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. </s>
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              Cap. 4. poſi­
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              tiuam leui­
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              tatem noņ
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              dari.</s>
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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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              <s id="s.000966">vni illorum, pars verò excauata homo­
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              genea, & æqualis ſit reliquo.
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              <s id="s.000967">SIt datus cylindrus ſoli­
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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
                <expan abbr="excauatũ">excauatum</expan>
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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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              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. </s>
              <s id="s.000968">Apoll.lemm. 7.) deinde in
                <expan abbr="triã-">trian-</expan>
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