Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N23601">
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              que inclinatio; </s>
              <s id="N2360A">eo tempore, quo percurretur tota
                <foreign lang="grc">α ρ</foreign>
              percurretur tan­
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              tùm quarta pars BF; </s>
              <s id="N23614">igitur ſuperſunt 1/4 BF; </s>
              <s id="N23618">ſed ſecundo tempore ſen­
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              ſibili æquali primo percurritur ſpatium triplum ſpatij primi temporis; </s>
              <s id="N2361E">
                <lb/>
              igitur tota BF percurritur tempore duplo, &
                <foreign lang="grc">α ρ</foreign>
              ſubduplo; </s>
              <s id="N23627">igitur tem­
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              pora ſunt vt radices 1. & 4. igitur in ratione ſubduplicata; </s>
              <s id="N2362D">præterea ſint
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              chordæ
                <foreign lang="grc">α</foreign>
              X
                <foreign lang="grc">ρ</foreign>
              , & aliæ duæ BZF ſimiles prioribus; certè ſi prima mino­
                <lb/>
              ris quadrantis
                <foreign lang="grc">α</foreign>
              X percurratur vno tempore. </s>
              <s id="N23641">Prima maioris BF, percur­
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              ritur duobus temporibus; </s>
              <s id="N23647">ſed in eadem proportione percurrentur duæ
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              X
                <foreign lang="grc">β</foreign>
              ZF, vt patet; </s>
              <s id="N23651">quia vt eſt
                <foreign lang="grc">ω</foreign>
              X ad X
                <foreign lang="grc">ρ</foreign>
              , ita XZ ad ZF: idem prorſus di­
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              co, ſi accipiantur tres chordæ, 4.5.6. &c. </s>
              <s id="N2365F">in vtroque arcu. </s>
            </p>
            <p id="N23662" type="main">
              <s id="N23664">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              5.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N23671" type="main">
              <s id="N23673">
                <emph type="italics"/>
              Vibratio minor eiuſdem, vel æqualis funependuli breuiore tempore percurri­
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              tur.
                <emph.end type="italics"/>
              </s>
              <s id="N2367C"> Probatur quia percurruntur citiùs duæ chordæ inferiores HGF,
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              quàm duæ ſuperiores quæcunque per Lem. 16. immò & tres inferiores,
                <lb/>
              quàm tres ſuperiores, atque ita deinceps; igitur totus arcus inferior
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              HGF, qui conſtat ex his chordis minoribus ſemper, & minoribus per­
                <lb/>
              curretur citiùs, quàm ſuperior, & maior.v.g. </s>
              <s id="N2368A">BHF. </s>
            </p>
            <p id="N2368D" type="main">
              <s id="N2368F">Adde quod, multis conſtat experimentis minorem vibrationem citiùs
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              peragi, quod pluſquam centies à me probatum eſt; </s>
              <s id="N23695">ſi enim ſimul demit­
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              tantur duo funependula æqualia; </s>
              <s id="N2369B">alterum quidem è ſummo quadrantis
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              puncto, alterum ex decimo, vel decimoquinto altitudinis gradu, appoſito
                <lb/>
              in puncto quietis aliquo ſonoro corpore; </s>
              <s id="N236A3">haud dubiè ictum, qui ſequitur
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              ex minori vibratione, priùs audies; </s>
              <s id="N236A9">tùm ſtatim alium; </s>
              <s id="N236AD">immò ſi numeren­
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              tur vibrationes vtriuſque eodem tempore plures minoris, maioris verò
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              pauciores numerabuntur; </s>
              <s id="N236B5">ſæpiùs numeraui 11.minores eo tantùm tem­
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              pore, quo alter, qui mecum erat 10. maiores numerabat, & 40. circiter
                <lb/>
              minores dum alter 37.maiores recenſeret; </s>
              <s id="N236BD">& certè ſi vibratio vtraque
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              maior ſcilicet, & minor per
                <expan abbr="eũdem">eundem</expan>
              arcum recurreret, centum minores
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              eo ferè tempore agerentur, quo 90.maiores; licèt enim vtraque decreſ­
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              cat, maior tamen decreſcit in maiore proportione, quàm minor, cuius
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              rei rationem afferemus infrà. </s>
            </p>
            <p id="N236CD" type="main">
              <s id="N236CF">Nec eſt quod aliquis cum Galileo, Baliano, & aliis opponat, omnes
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              vibrationes, ſiue maiores ſint, ſiue minores eſſe æquè diuturnas, idque
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              manifeſtis conſtare experimentis, quibus ego alia certiſſima experimen­
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              ta oppono, quibus etiam vltrò aſſentitur P. Merſennus, Galileo alioqui
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              addictiſſimus, in verſione eiuſdem Galilei lib. 1. art. </s>
              <s id="N236DA">18. & verò docti
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              omnes Galileo ſunt addictiſsimi; </s>
              <s id="N236E0">in qua verò proportione minor vibra­
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              tio breuiore tempore peragatur, quàm major, difficilè dictu eſt, & vix
                <lb/>
              determinari poteſt, niſi fortè dicatur in ea proportione arcum HF citiùs
                <lb/>
              percurri, quàm arcum BHF, in qua duæ chordæ HGF citiùs percur­
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              runtur, quàm duæ BZF; ſed de his fusè aliàs. </s>
            </p>
            <p id="N236EC" type="main">
              <s id="N236EE">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              6.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N236FB" type="main">
              <s id="N236FD">
                <emph type="italics"/>
              Velocitates acquiſita in vibrationibus inæqualibus ſunt vt altitudines
                <emph.end type="italics"/>
              ; </s>
              <s id="N23706">ſint
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              enim vibrationes duæ BF, HF; </s>
              <s id="N2370C">dico velocitatem acquiſitam in deſcen-</s>
            </p>
          </chap>
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