Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

< >
[Figure 21]
[Figure 22]
[Figure 23]
[Figure 24]
[Figure 25]
[Figure 26]
[Figure 27]
[Figure 28]
[Figure 29]
[Figure 30]
[Figure 31]
[Figure 32]
[Figure 33]
[Figure 34]
[Figure 35]
[Figure 36]
[Figure 37]
[Figure 38]
[Figure 39]
[Figure 40]
[Figure 41]
[Figure 42]
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1EE3A">
            <pb pagenum="236" xlink:href="026/01/268.jpg"/>
            <p id="N1EEFD" type="main">
              <s id="N1EEFF">
                <emph type="center"/>
                <emph type="italics"/>
              Definitio
                <emph.end type="italics"/>
              5.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EF0C" type="main">
              <s id="N1EF0E">
                <emph type="italics"/>
              Linea reflexionis eſt illa linea motus, per quam mobile poſt reflexionem re­
                <lb/>
              cedit à plano inclinato
                <emph.end type="italics"/>
              ; hinc vides punctum reflexionis eſſe terminum ad
                <lb/>
              quem illius lineæ, & terminum à quo huius. </s>
            </p>
            <p id="N1EF1B" type="main">
              <s id="N1EF1D">
                <emph type="center"/>
                <emph type="italics"/>
              Definitio
                <emph.end type="italics"/>
              6.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EF2A" type="main">
              <s id="N1EF2C">
                <emph type="italics"/>
              Angulus incidentiæ eſt, quem facit cum plano reflectente linea inci­
                <lb/>
              dentiæ.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1EF35" type="main">
              <s id="N1EF37">
                <emph type="center"/>
                <emph type="italics"/>
              Definitio
                <emph.end type="italics"/>
              7.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EF43" type="main">
              <s id="N1EF45">
                <emph type="italics"/>
              Angulus reflexionis eſt, quem facit linea reflexionis cum eodem plano.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1EF4C" type="main">
              <s id="N1EF4E">
                <emph type="center"/>
                <emph type="italics"/>
              Definitio
                <emph.end type="italics"/>
              8.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EF5A" type="main">
              <s id="N1EF5C">
                <emph type="italics"/>
              Cathetus eſt linea perpendiculariter cadens in planum reflectens ducta ab
                <lb/>
              aliquo puncto linea incidentia
                <emph.end type="italics"/>
              ; </s>
              <s id="N1EF67">& tunc dicitur Cathetus incidentiæ; </s>
              <s id="N1EF6B">vel
                <lb/>
              ab aliquo lineæ reflexionis, & tunc dicitur Cathetus reflexionis; hæc
                <lb/>
              omnia ſunt facilia, quæ in gratiam Tyronum breuiter in figura
                <lb/>
              propono. </s>
            </p>
            <p id="N1EF75" type="main">
              <s id="N1EF77">Sit FB linea plani reflectentis; </s>
              <s id="N1EF7B">ſit D punctum reflexionis; ſit AD
                <lb/>
              linea incidentiæ, DH linea reflexionis, AB Cathetus incidentiæ, HF
                <lb/>
              Cathetus reflexionis, ADB angulus incidentiæ, EDF oppoſitus,
                <lb/>
              HDF angulus reflexionis, CDB oppoſitus, ADH angulus aperturæ
                <lb/>
              vel pyramidis reflexionis, EDC oppoſitus, ADE angulus ſupplementi
                <lb/>
              anguli incidentiæ, HDG angulus complementi anguli reflexionis, re­
                <lb/>
              ctangulum BH ſuperficies reflexionis, BF ſectio plani reflectentis, &
                <lb/>
              prædictæ ſuperficiei. </s>
            </p>
            <p id="N1EF8D" type="main">
              <s id="N1EF8F">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EF9C" type="main">
              <s id="N1EF9E">
                <emph type="italics"/>
              Aliquod corpus in aliud cum impetu impaction reflectitur,
                <emph.end type="italics"/>
              hæc hypothe­
                <lb/>
              ſis certa eſt. </s>
            </p>
            <p id="N1EFA8" type="main">
              <s id="N1EFAA">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EFB7" type="main">
              <s id="N1EFB9">
                <emph type="italics"/>
              Corpus reflexum in aliud impactum aliquando illud mouet
                <emph.end type="italics"/>
              ; ſic pila ab
                <lb/>
              aliquo corpore reflexa in aliam incidens mouet illam. </s>
            </p>
            <p id="N1EFC4" type="main">
              <s id="N1EFC6">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EFD3" type="main">
              <s id="N1EFD5">
                <emph type="italics"/>
              Quo motus directus, ſcilicet qui ſis per lineam incidentia, eſt maior, maior
                <lb/>
              eſt quoque motus reflexus
                <emph.end type="italics"/>
              ; ſi enim maiore vi pila appellitur in parietem
                <lb/>
              maiore vi etiam retorquctur. </s>
            </p>
            <p id="N1EFE2" type="main">
              <s id="N1EFE4">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EFF1" type="main">
              <s id="N1EFF3">
                <emph type="italics"/>
              Idem impetus ad plures lineas determinari pereſt ſeorſum
                <emph.end type="italics"/>
              ; </s>
              <s id="N1EFFC">hoc Axima
                <lb/>
              certum eſt; probatum eſt in libro 1. Th.113.114. &c. </s>
              <s id="N1F002">dixi ſeorſim, nam
                <lb/>
              plures ſimul lineas habere non poteſt per Th.115.l.1. </s>
            </p>
            <p id="N1F007" type="main">
              <s id="N1F009">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1F016" type="main">
              <s id="N1F018">
                <emph type="italics"/>
              Vbi eſt effectus, ibi eſt cauſa, effectus inquam formalis,
                <emph.end type="italics"/>
              v. g. vbi eſt album,
                <lb/>
              ibi eſt id, quod exigit motum, ſeu præſtat illum motum in mobili; </s>
              <s id="N1F027">id eſt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>