Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <pb pagenum="424" xlink:href="026/01/458.jpg"/>
            <p id="N298EE" type="main">
              <s id="N298F0">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              8.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N298FC" type="main">
              <s id="N298FE">
                <emph type="italics"/>
              Si diuidatur AD in tres partes æquales, ſit que ID
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              1/3
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              centrum percuſſio­
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              nis erit in I
                <emph.end type="italics"/>
              ; </s>
              <s id="N2990F">demonſtratur, quia impetus puncti G eſt ad impetum pun­
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              cti D; </s>
              <s id="N29915">vt arcus EG, ad arcum BD; </s>
              <s id="N29919">ſit autem DC æqualis DB; </s>
              <s id="N2991D">ducatur
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              AC, triangulum ACD erit æquale ſectori ADB, vt conſtat; impetus in
                <lb/>
              D erit, vt recta DC, & in I, vt recta IH, & in G, vt recta GF, &c. </s>
              <s id="N29925">igi­
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              tur perinde ſe habet impetus, qui ineſt puncto D, atque ſi incubaret ipſi
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              D.DC, & I, IH, & G, GF, &c. </s>
              <s id="N2992C">atqui ſi hoc eſſet, centrum grauitatis
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              eſſet in I, vt patet ex dictis; ibique eſſet percuſſionis, per Th. 3. igitur
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              I eſt centrum percuſſionis. </s>
            </p>
            <p id="N29934" type="main">
              <s id="N29936">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N29942" type="main">
              <s id="N29944">Colligo primò, ex dictis in hac hypotheſi tria centra ſeparari. </s>
            </p>
            <p id="N29947" type="main">
              <s id="N29949">Secundò ſi nullum eſſet momentum ratione diſtantiæ, centrum per­
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              cuſſionis idem eſſet cum centro impreſſionis. </s>
            </p>
            <p id="N2994E" type="main">
              <s id="N29950">Tertiò, centrum percuſſionis lineæ circa alteram extremitatem mo­
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              bilis; </s>
              <s id="N29956">idem eſſe cum centro percuſſionis trianguli, ſeu plani triangula­
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              ris; de quo ſuprà. </s>
            </p>
            <p id="N2995C" type="main">
              <s id="N2995E">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              9.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2996A" type="main">
              <s id="N2996C">
                <emph type="italics"/>
              Si rotetur planum rectangulum circa alterum laterum centrum percuſſionis
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              eſt in linea, quæ diuidit rectangulum æqualiter, & cadit perpendiculariter
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              in axem, circa quem rotatur
                <emph.end type="italics"/>
              ; </s>
              <s id="N29979">v.g. ſit rectangulum CF, rotatum circa C
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              A; </s>
              <s id="N29981">ſit BG, dirimens æqualiter CA & HF, centrum grauitatis eſt in
                <lb/>
              BG; quia eſt æquale momentum in BF & BH, tùm ratione impetus,
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              tùm ratione diſtantiæ, vt pater per p.6. </s>
            </p>
            <p id="N29989" type="main">
              <s id="N2998B">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              10.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N29997" type="main">
              <s id="N29999">
                <emph type="italics"/>
              Si BG diuidatur in tres partes æquales B, D, I, G, rotetur que circa CA,
                <lb/>
              vt dictum eſt ſuprà, centrum percuſſionis eſt in I
                <emph.end type="italics"/>
              ; </s>
              <s id="N299A4">quia ſi volueretur ſola
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              AF, eſſet in E, ſi ſola CH, eſſet in K, ſi ſola BG, eſſet in I, per Th. 8.
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              igitur centra percuſſionis omnium ſunt in linea EK; ſed lineæ EK, cuius
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              ſingula puncta mouentur æquali motu, centrum percuſſionis eſt in I, per
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              Th.1. igitur centrum percuſſionis totius CF acti circum CA, eſt in I,
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              quod erat demonſtr. </s>
            </p>
            <p id="N299B2" type="main">
              <s id="N299B4">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N299C0" type="main">
              <s id="N299C2">Primò, ſi rotetur circa CH, eodem modo inuenietur centrum per­
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              cuſſionis, ſcilicet N ita vt NO ſit 1/3 MO. </s>
            </p>
            <p id="N299C7" type="main">
              <s id="N299C9">Secundò, ſi rotetur circa OM rectangulum CF; </s>
              <s id="N299CD">diuidatur in tres
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              partes æquales, ſitque PG 1/3 NG, centrum percuſſionis eſt P; </s>
              <s id="N299D3">eſt enim
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              eadem ratio, quæ ſuprà; </s>
              <s id="N299D9">nec eſt minor ictus, quàm in I; </s>
              <s id="N299DD">rotato ſcilicet
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              rectangulo circa CA; quia eſt æqualis impetus. </s>
            </p>
            <p id="N299E3" type="main">
              <s id="N299E5">Tertiò, ſi rotetur circa BR, in quam AH cadit perpendiculariter, eſt
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              alia ratio, de qua infrà. </s>
            </p>
          </chap>
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    </archimedes>
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