Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
Scan Original
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N2136B">
            <pb pagenum="278" xlink:href="026/01/312.jpg"/>
            <p id="N21925" type="main">
              <s id="N21927">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              15.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N21933" type="main">
              <s id="N21935">
                <emph type="italics"/>
              Puncta diuerſorum circulorum mouentur inæquali motu
                <emph.end type="italics"/>
              ; </s>
              <s id="N2193E">quia tempori­
                <lb/>
              bus æqualibus inæquales percurrunt arcus; </s>
              <s id="N21944">igitur inæquali motu per
                <lb/>
              Axio. 1. v.g. puncta L & C quæ diſtant æqualiter à centro K, mouentur
                <lb/>
              æquali motu, quia æquali tempore conficiunt æquales arcus CS, LT; at
                <lb/>
              verò puncta CQ inæquali motu mouentur, quia æquali tempore arcus
                <lb/>
              inæquales percurrunt, ſcilicet CS, QX. </s>
            </p>
            <p id="N21954" type="main">
              <s id="N21956">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              16.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N21962" type="main">
              <s id="N21964">
                <emph type="italics"/>
              Hinc puncta, quæ accedunt propiùs ad centrum mouentur tardiùs, quæ lon­
                <lb/>
              giùs recedunt, mouentur velociùs.
                <emph.end type="italics"/>
              v.g. C velociùs, quia conficit arcum ma­
                <lb/>
              iorem; </s>
              <s id="N21973">CSQ tardiùs, quia æquali tempore conficit arcum minorem
                <lb/>
              QR ſunt autem arcus ſimiles, vt radij, id eſt QR eſt ad CS, vt radius
                <lb/>
              KQ ad QC, ſed motus ſunt vt arcus; igitur motus, vt radij, vel diſtantiæ
                <lb/>
              à centro communi. </s>
            </p>
            <p id="N2197D" type="main">
              <s id="N2197F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              17.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2198B" type="main">
              <s id="N2198D">
                <emph type="italics"/>
              Ex his constat impetum, qui præstat motum circularem distribui in mobili
                <lb/>
              vniformiter, id eſt æqualem in eodem circulo, vel in distantia æquali, & dif­
                <lb/>
              formiter, id eſt inæqualem in diuerſis circulis, vel in diuerſa distantia
                <emph.end type="italics"/>
              ; </s>
              <s id="N2199A">quia
                <lb/>
              ex inæqualitate motus cognoſci tantùm poteſt inæqualitas impetus; </s>
              <s id="N219A0">fit
                <lb/>
              autem hæc diffuſio, ſeu propagatio in ratione longitudinum v. g. impe­
                <lb/>
              tus in Q eſt ad impetum in C, vt longitudo KQ ad KC, vt conſtat ex
                <lb/>
              dictis; </s>
              <s id="N219AE">accipio autem omnes partes impetus, quæ ſunt in Q, & compa­
                <lb/>
              ro omnes illas cum omnibus illis, quæ inſunt puncto C; </s>
              <s id="N219B4">nam certum eſt
                <lb/>
              ex his quæ fusè diximus lib.1.non produci plures partes impetus in C,
                <expan abbr="quã">quam</expan>
                <lb/>
              in
                <expan abbr="q;">que</expan>
              ſed perfectiorem impetum produci in C, quàm in Q: </s>
              <s id="N219C4">recole quæ
                <lb/>
              diximus lib.1. à Th. 99. ad Th.112. in quibus habes totam propagatio­
                <lb/>
              nem impetus determinati ad motum circularem; </s>
              <s id="N219CC">ſiue applicetur po­
                <lb/>
              tentia centro, id eſt iuxta centrum; ſiue circumferentiæ. </s>
            </p>
            <p id="N219D2" type="main">
              <s id="N219D4">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              18.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N219E0" type="main">
              <s id="N219E2">
                <emph type="italics"/>
              Motus puncti C non eſt velocior motu puncti Q ratione temporis, ſed ſpatij
                <emph.end type="italics"/>
              ; </s>
              <s id="N219EB">
                <lb/>
              quia vtrumque mouetur ſemper æquali tempore, quia ſunt in eodem ra­
                <lb/>
              dio; </s>
              <s id="N219F2">recole etiam, quæ diximus alibi, ſcilicet lib. 2. in comparatione
                <lb/>
              motuum, vel aſſumi poſſe ſpatia æqualia cum temporibus inæqualibus,
                <lb/>
              vel tempora æqualia cum ſpatiis inæqualibus; </s>
              <s id="N219FA">atqui in motu circulari
                <lb/>
              cum omnes partes eiuſdem mobilis ſimul moueantur, id eſt ſimul inci­
                <lb/>
              piant, & deſinant moueri; </s>
              <s id="N21A02">certè æquali tempore mouentur; </s>
              <s id="N21A06">ſed motus
                <lb/>
              eſt inæqualis; igitur non ratione temporis, quod æquale eſt, ſed
                <lb/>
              ſpatij. </s>
            </p>
            <p id="N21A0E" type="main">
              <s id="N21A10">Hic fortè aliquis deſideraret ſolutionem illius argumenti, quod vul­
                <lb/>
              gò ducitur ex motu circulari contra puncta phyſica, quod ſic breuiter
                <lb/>
              proponi poteſt. </s>
              <s id="N21A17">Sit punctum Q, quod acquirat punctum ſpatij verſus R
                <lb/>
              vno inſtanti; </s>
              <s id="N21A1D">certe punctum C, quod mouetur verſus S, acquiret eodem </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum