Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N2A24E" type="main">
              <s id="N2A250">
                <emph type="center"/>
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              Scholium.
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                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A25C" type="main">
              <s id="N2A25E">Obſeruabis non deeſſe fortè aliquos, quibus centrum grauitatis Py­
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              ramidos difficile inuentu videatur; </s>
              <s id="N2A264">quare in eorum gratiam facilem de­
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              monſtrationem ſubijcio; </s>
              <s id="N2A26A">ſit enim pyramis EFBA, cuius baſis ſit trian­
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              gularis EFB; </s>
              <s id="N2A270">ducatur EC diuidens bifariam FB, ſitque DC 1/3 totius
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              EC, centrum grauitatis baſis EFB eſt D, per Sch.Th.2. ducatur AD, id
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              eſt axis pyramidos, per communem definitionem; </s>
              <s id="N2A278">quippe axis eſt recta
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              ducta à vertice ad centrum grauitatis baſis oppoſitæ; </s>
              <s id="N2A27E">ducatur AC, diui­
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              dens BF bifariam æqualiter; </s>
              <s id="N2A284">aſſumatur GC, 1/3 AC, ducatur EG, hæc
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              eſt axis, vt patet ex dictis; </s>
              <s id="N2A28A">aſſumatur autem triangulum AEC, ſitque HO
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              K maioris claritatis gratia, ſintque gemini axes HL, OI, centrum py­
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              ramis eſt in OI & in HL; igitur in M; </s>
              <s id="N2A292">ſed ML eſt 1/4 totius LH, quod
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              ſic demonſtro; </s>
              <s id="N2A298">triangula PIM, OLM ſunt æquiangula; </s>
              <s id="N2A29C">igitur propor­
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              tionalia; </s>
              <s id="N2A2A2">itemque duo HIN, & HKO; </s>
              <s id="N2A2A6">igitur vt HK ad KO, ita HI ad
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              IN; </s>
              <s id="N2A2AC">ſed HI continet 2/4 HK, per hypotheſim; </s>
              <s id="N2A2B0">igitur IN continet 2/3 KO; </s>
              <s id="N2A2B4">
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              igitur IN eſt æqualis LO; </s>
              <s id="N2A2B9">igitur vt IP eſt ad LO, ita PM ad ML; ſed
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              PI eſt ad LO vt 2. 2/3 ad 8. id eſt vt 3. ad 9. nam ſit OK 12. IN æqualis
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              LO eſt 8.igitur PM eſt ad ML, vt 3. ad 9. vel vt 1. ad 3. igitur ſit HL
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              12. PL erit 4. igitur PM 1. ML 3. igitur ML eſt 1/4 LH, quod erat
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              demonſtrandum. </s>
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            <p id="N2A2C5" type="main">
              <s id="N2A2C7">Si verò pyramidos baſis ſit quadrilatera, vel polygona, diuidi poteſt in
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              plures, quarum baſis ſit trilatera; quare in omni pyramide facilè de­
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              monſtratur centrum grauitatis ita dirimere axem, vt ſegmentum verſus
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              baſim ſit 1/4 totius. </s>
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            <p id="N2A2D1" type="main">
              <s id="N2A2D3">
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              Theorema
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              28.
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              </s>
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            <p id="N2A2DF" type="main">
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              Determinari poteſt centrum percuſſionis coni mixti, cuius baſis ſit portio
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              ſuperficiei ſphæræ, cuius centrum ſit in apice coni
                <emph.end type="italics"/>
              ; </s>
              <s id="N2A2EC">quia vt ſe habet triangu­
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              lum Iſoſceles ad conum, ita ſe habet ſector ſub eodem angulo ad prædi­
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              ctum conum mixtum, vt patet; </s>
              <s id="N2A2F4">quia vt conus ille rectus formatur a trian­
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              gulo circa ſuum axem circumacto, ita & mixtus formatur à ſectore circa
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              ſuum axem circumuoluto; </s>
              <s id="N2A2FC">igitur vt ſe habet diſtantia inter centrum vel
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              apicem trianguli, circa quem voluitur, & centrum percuſſionis eiuſdem
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              ad diſtantiam inter eoſdem terminos in cono recto, ita ſe habet diſtan­
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              tia inter eoſdem terminos in ſectore, ad diſtantiam inter eoſdem termi­
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              nos in prædicto cono mixto; </s>
              <s id="N2A308">ſed cognoſcuntur ex dictis ſuprà tres pri­
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              mi termini huius proportionis; igitur cognoſci poteſt quartus, igitur
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              determinari centrum percuſſionis, quod erat demonſtrandum. </s>
            </p>
            <p id="N2A310" type="main">
              <s id="N2A312">
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              Corollarium.
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                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A31E" type="main">
              <s id="N2A320">Colligo primò, ex his facilè cognoſci poſſe centrum percuſſionis ſe­
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              ctoris ſphæræ, nam vt ſe habet conus rectus ad pyramidem, ita ſe habes
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              prædictus conus mixtus ad ſectorem, ſub eodem ſcilicet angulo. </s>
            </p>
            <p id="N2A327" type="main">
              <s id="N2A329">Colligo ſecundò, etiam poſſe cognoſci centrum percuſſionis eiuſdem
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              ſectoris circumacti, non tantùm circa centrum ſphæræ, ſed circa radium; </s>
              <s id="N2A32F"/>
            </p>
          </chap>
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