Fabri, Honoré, Tractatus physicus de motu locali, 1646

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        <body>
          <chap id="N1137F">
            <pb pagenum="57" xlink:href="026/01/089.jpg"/>
            <p id="N14AC2" type="main">
              <s id="N14AC4">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              102.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14AD0" type="main">
              <s id="N14AD2">
                <emph type="italics"/>
              Impetus in ipſo vecte ſine pondere addito ita propagatur, vt ſit imperfectior
                <lb/>
              verſus centrum vectis
                <emph.end type="italics"/>
              ; </s>
              <s id="N14ADD">probatur, quia pondus verſus centrum mouetur
                <lb/>
              minore motu, vt conſtat; igitur ab imperfectiore impetu; </s>
              <s id="N14AE3">ſed non eſt
                <lb/>
              imperfectior tantùm ratione numeri, id eſt, pauciorum partium impe­
                <lb/>
              tus; </s>
              <s id="N14AEB">quia ſi hoc eſſet, ſit vectis AC, motus B, eſt ſubduplus motus
                <lb/>
              A; </s>
              <s id="N14AF1">igitur ſi eſt impetus eiuſdem perfectionis entitatiuæ, vt ſic loquar; </s>
              <s id="N14AF5">
                <lb/>
              ita ſe habet numerus partium impetus in B, ad numerum partium in A,
                <lb/>
              vt motus B, ad motum A; </s>
              <s id="N14AFC">& hic vt arcus BD, ad arcum AE; </s>
              <s id="N14B00">& hic vt
                <lb/>
              BC, ad AC; </s>
              <s id="N14B06">igitur eſt ſubduplus; </s>
              <s id="N14B0A">igitur æqualis omninò producitur
                <lb/>
              impetus ab eadem potentia in vecte AC, ſiue applicetur centro C, ſiue
                <lb/>
              circumferentiæ A; </s>
              <s id="N14B12">igitur æquè facilè; quod eſt contra experientiam; </s>
              <s id="N14B16">
                <lb/>
              probatur ſecundò, quia ſi hoc eſſet, pondus idem tàm facilè attolleretur
                <lb/>
              in A, quàm in B; quia idem impetus produceretur, quod eſt contra ex­
                <lb/>
              perientiam. </s>
            </p>
            <p id="N14B1F" type="main">
              <s id="N14B21">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              103.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14B2D" type="main">
              <s id="N14B2F">
                <emph type="italics"/>
              Ex hoc facilè intelligitur, cur impetus propagetur faciliùs à circumferen­
                <lb/>
              tia ad centrum, quàm à centro ad circumferentiam, & cur longior vectis ab
                <lb/>
              eadem potentia moueri poſſit primo modo, non ſecundo, quod clarum est.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14B3A" type="main">
              <s id="N14B3C">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              104.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14B48" type="main">
              <s id="N14B4A">
                <emph type="italics"/>
              Decreſcit impetus verſus centrum iuxta rationem distantiarum
                <emph.end type="italics"/>
              ; </s>
              <s id="N14B53">probatur
                <lb/>
              quia decreſcit iuxta rationem motuum; & hæc iuxta rationem diſtan­
                <lb/>
              tiarum. </s>
            </p>
            <p id="N14B5B" type="main">
              <s id="N14B5D">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              105.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14B69" type="main">
              <s id="N14B6B">
                <emph type="italics"/>
              Non decreſcit numerus partium impetus à circumferentia ad centrum
                <emph.end type="italics"/>
              ; </s>
              <s id="N14B74">
                <lb/>
              probatur, quia cum à circumferentia ad centrum ita propagetur impe­
                <lb/>
              tus, vt vnicum tantùm punctum producatur in ipſa extremitate mobilis; </s>
              <s id="N14B7B">
                <lb/>
              certè non poteſt minùs impetus produci verſus centrum ratione nume­
                <lb/>
              ri; </s>
              <s id="N14B82">igitur non decreſcit numerus; hinc producitur neceſſariò imperfe­
                <lb/>
              ctior verſus centrum. </s>
            </p>
            <p id="N14B88" type="main">
              <s id="N14B8A">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              106.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14B96" type="main">
              <s id="N14B98">
                <emph type="italics"/>
              Non producuntur plures partes impetus in vecte verſus centrum, id est, non
                <lb/>
              ſunt plures in puncto vectis propiùs ad centrum accedente, quàm in co; quod
                <lb/>
              longiùs distat:
                <emph.end type="italics"/>
              Probatur primò, quia fruſtrà eſſent plures. </s>
              <s id="N14BA5">Secundò, cur
                <lb/>
              potiùs in vna proportione, quàm in alia? </s>
            </p>
            <p id="N14BAA" type="main">
              <s id="N14BAC">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              107.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14BB8" type="main">
              <s id="N14BBA">
                <emph type="italics"/>
              Ex his constat produci impetum æqualem numero in omnibus punctis vectis
                <lb/>
              a circumferentia ad centrum, cum ſcilicet applicatur potentia circumferentiæ
                <emph.end type="italics"/>
              ; </s>
              <s id="N14BC5">
                <lb/>
              probatur, quia non producitur numerus minor per Th.105. neque maior
                <lb/>
              per Th. 106. igitur æqualis; </s>
              <s id="N14BCC">adde quod res explicari non poteſt per ma­
                <lb/>
              iorem, neque per minorem; ita vt ſcilicet pondera, quæ à data potentia
                <lb/>
              leuantur, ſint vt diſtantiæ, de quo ſuprà. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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