Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <body>
          <chap id="N1EE3A">
            <p id="N2101C" type="main">
              <s id="N2105A">
                <pb pagenum="268" xlink:href="026/01/302.jpg"/>
                <emph type="italics"/>
              is dedit, qui miſerit; </s>
              <s id="N21067">eo autem vt angulo, vel acuto, vel recto ferantur omninò
                <lb/>
              incidit; vt igitur in ſpeculis extremum lineæ rectæ, &c. </s>
              <s id="N2106D">itaque feruntur, &c. </s>
              <s id="N21070">
                <lb/>
              cum angulo tanto retorqueantur, quanto vertex conſtiterit,
                <emph.end type="italics"/>
              &c Sed quæſo, quis
                <lb/>
              vmquam agnoſcet demonſtrationem in mera comparatione præſertim
                <lb/>
              in problematis quorum rationes Ariſtoteles, vel alter, vt aliqui volunt,
                <lb/>
              illorum auctor dubitanter tantùm proponit? </s>
              <s id="N2107D">Igitur vix auſim aſſerere ab
                <lb/>
              Ariſtotele hoc ipſum fuiſſe demonſtratum; </s>
              <s id="N21083">ſed aliam demonſtrationem
                <lb/>
              aggrediuntur, pro qua ſupponunt primò determinationem eſſe formam,
                <lb/>
              ſeu formalitatem, ſeu connotationem; </s>
              <s id="N2108B">quam parùm hæc phyſicam ſa­
                <lb/>
              piunt, & demonſtrationem olent! Secundò, vnumquodque per ſe deter­
                <lb/>
              minare ad aliud, ad quod eſt determinatum, & determinationem fieri
                <lb/>
              per id, quod eſt maximè determinatum; </s>
              <s id="N21095">quia propter quod vnumquod­
                <lb/>
              que tale eſt, & illud magis; </s>
              <s id="N2109B">quam debile fulcrum! Tertiò ſupponunt,
                <lb/>
              principium determinans effectum ſecundum genus, & ſpeciem ſimilem
                <lb/>
              ſibi reddere in vtroque, etiam Logicè; </s>
              <s id="N210A3">Quartò, ſupponunt ex duobus
                <lb/>
              indeterminatis poſſe fieri determinatum; quid inde? </s>
              <s id="N210A9">Quintò, ſuppo­
                <lb/>
              nunt angulum reflexionis determinari ab angulo incidentiæ; ſed hæc eſt
                <lb/>
              theſis. </s>
              <s id="N210B1">Ex his principiis primò concludunt reflexionem fieri per angulos
                <lb/>
              æquales, idque in eodem plano; </s>
              <s id="N210B7">ſcio quidem de re quod ſit, ſed non vi­
                <lb/>
              deo demonſtrari propter quid ſit ex his principiis, vt conſideranti pate­
                <lb/>
              bit; </s>
              <s id="N210BF">nec eſt quod vlteriùs in iis refutandis immoremur; </s>
              <s id="N210C3">præſertim cùm
                <lb/>
              rem hanc acuratiſſimè demonſtrauerimus ſuprà; </s>
              <s id="N210C9">ſed antequam ab hoc
                <lb/>
              motu reflexo diſcedam, alia demonſtratio reiicienda eſt, quæ ſic propo­
                <lb/>
              nitur ſit planum reflectens immobile, MR, ſit linea incidentiæ KD; </s>
              <s id="N210D1">
                <lb/>
              hæc eſt, vt aiunt, determinatio mixta ex duabus K
                <foreign lang="grc">β</foreign>
              , K
                <foreign lang="grc">θ</foreign>
              : </s>
              <s id="N210DE">hoc poſito, li­
                <lb/>
              nea reflexa erit DX, mixta ſcilicet ex D
                <foreign lang="grc">θ</foreign>
              D
                <foreign lang="grc">υ</foreign>
              ; </s>
              <s id="N210EC">ſed profectò non video,
                <lb/>
              nec ſentio vim huius determinationis; </s>
              <s id="N210F2">primò enim nego motum per
                <lb/>
              KD eſſe mixtum; </s>
              <s id="N210F8">eſt enim tantùm vnicum principium determinationis; </s>
              <s id="N210FC">
                <lb/>
              igitur vna tantùm eſt determinatio; </s>
              <s id="N21101">nam primò hæc eadem linea KD
                <lb/>
              poſſet eſſe mixta ex pluribus aliis; </s>
              <s id="N21107">quippè poſſunt eſſe infinita Paralle­
                <lb/>
              logrammata, quibus hæc diagonalis KD communis eſſe poſſit; cur au­
                <lb/>
              tem potiùs erit diagonalis vnius quàm alterius. </s>
              <s id="N2110F">Secundò, ſi cadat deor­
                <lb/>
              ſum corpus graue impingaturque in planum inclinatum, nunquid eſt
                <lb/>
              motus ſimplex, & purus naturalis? </s>
              <s id="N21116">quis eſt qui hoc neget, ſi terminos
                <lb/>
              ipſos capiat? </s>
              <s id="N2111B">ſed dicunt, ſi proiiciatur mobile per inclinatam in planum
                <lb/>
              horizontale, eſt motus mixtus ex naturali accelerato, & impreſſo; </s>
              <s id="N21121">equi­
                <lb/>
              dem hic motus mixtus eſt, ſed tota linea curua; </s>
              <s id="N21127">quæ non eſt parabolica,
                <lb/>
              vt conſtat ex dictis ſuprà lib.4.non facit lineam directionis, ſed vltimum
                <lb/>
              illius ſegmentum, ſeu vltima Tangens, quæ tanquam recta aſſumitur:
                <lb/>
              præterea quis vmquam lineam incidentiæ aſſumpſit niſi rectum? </s>
              <s id="N21131">igitur
                <lb/>
              licèt linea incidentiæ poſſit eſſe mixta ex duabus aliis, quod negari non
                <lb/>
              poteſt; </s>
              <s id="N21139">poteſt tamen eſſe ſimplex, quod nemo etiam negabit; </s>
              <s id="N2113D">igitur hoc
                <lb/>
              ipſum nihil facit ad hanc incidentiæ lineam; </s>
              <s id="N21143">igitur illud primum an­
                <lb/>
              tecedens eſt falſum, in quo habetur lineam incidentiæ eſſe mixtam; </s>
              <s id="N21149">quia
                <lb/>
              cùm debeat eſſe vniuerſale, vt ſcilicet vniuerſaliter concludat; </s>
              <s id="N2114F">certè, ſi </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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