Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
Scan Original
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1137F">
            <pb pagenum="63" xlink:href="026/01/095.jpg"/>
            <p id="N15075" type="main">
              <s id="N15077">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              119.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N15083" type="main">
              <s id="N15085">
                <emph type="italics"/>
              Impetus determinatus ad vnam lineam poteſt ad aliam in ſuo fluxu deter­
                <lb/>
              minatu
                <emph.end type="italics"/>
              ; </s>
              <s id="N15090">vt patet in corpore reflexo; nec enim dici poteſt totum prio­
                <lb/>
              rem impetum in ipſo reflexionis puncto deſtrui, vt demonſtrabimus
                <lb/>
              aliàs. </s>
              <s id="N15098">Probatur etiam ex impetu proiectorum, quæ mutant lineam mo­
                <lb/>
              tus manente adhuc priore impetu ſaltem ex parte. </s>
            </p>
            <p id="N1509D" type="main">
              <s id="N1509F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              120.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N150AB" type="main">
              <s id="N150AD">
                <emph type="italics"/>
              Corpus proiectum in aliud ita illud impellit, vt determinet lineam motus
                <lb/>
              ratione puncti contactus
                <emph.end type="italics"/>
              ; </s>
              <s id="N150B8">Sit enim, ne multiplicemus figuras, globus,
                <lb/>
              cuius linea directionis ſit DC, punctum contactus C, ita globus A im­
                <lb/>
              pellet globum B, vt linea motus, ad quam determinatur, ſit CB, id eſt
                <lb/>
              ducta à puncto contactus ad centrum globi impulſi; </s>
              <s id="N150C2">ſit etiam globus
                <lb/>
              P impactus in globum A punctum contactus ſit D, linea motus, ad
                <lb/>
              quam determinatur, eſt DA, quæ ſcilicet à puncto contactus ducitur
                <lb/>
              per centrum grauitatis corporis impulſi: </s>
              <s id="N150CC">experientia huius rei certa
                <lb/>
              eſt, nec ignorant qui in ludo minoris tudiculæ verſati ſunt; </s>
              <s id="N150D2">ratio au­
                <lb/>
              tem inde tantùm duci poteſt, quod ſcilicet ab ipſo puncto contactus ita
                <lb/>
              diffunditur impetus, vt hinc inde æqualiter in vtroque hemiſphærio
                <lb/>
              diffundatur; </s>
              <s id="N150DC">coniungitur autem vtrumque hemiſphærium circulo A,
                <lb/>
              vel B, in priore figura, eſtque vtriuſque communis ſectio; </s>
              <s id="N150E2">cum autem
                <lb/>
              vtrimque ſit æqualis impetus, nulla eſt ratio, cur linea directionis in­
                <lb/>
              clinet potiùs in vnum hemiſphærium, quàm in aliud: </s>
              <s id="N150EA">præterea cum
                <lb/>
              motus orbis globi determinetur à motu centri; </s>
              <s id="N150F0">cum ſcilicet globus in
                <lb/>
              globum impingitur; </s>
              <s id="N150F6">haud dubiè non poteſt eſſe alius motus centri, niſi
                <lb/>
              qui determinatur à puncto contactus, à quo vnica tantùm linea ad cen­
                <lb/>
              trum duci poteſt, vt conſtat; & hæc ratio veriſſima eſt, & totam rem
                <lb/>
              ipſam euincit. </s>
            </p>
            <p id="N15100" type="main">
              <s id="N15102">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              121.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1510E" type="main">
              <s id="N15110">
                <emph type="italics"/>
              Hinc licèt diuerſæ ſint linea motus globi impellentis, ſi tamen ſit idem pun­
                <lb/>
              ctum contactus ad
                <expan abbr="eãdem">eandem</expan>
              lineam globus impulſus determinabitur,
                <emph.end type="italics"/>
              v. g. li­
                <lb/>
              cet globus P. eiuſdem figuræ tangat globum A in D per lineam PD ſiue
                <lb/>
              per lineam HD ſiue per quamlibet aliam, globus A mouebitur ſemper
                <lb/>
              per lineam directionis DA propter rationem propoſitam, quod etiam
                <lb/>
              mille experimentis conuincitur. </s>
            </p>
            <p id="N1512A" type="main">
              <s id="N1512C">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              122.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N15138" type="main">
              <s id="N1513A">
                <emph type="italics"/>
              Determinatur impetus corporis proiecti impacti in corpus reflectens ad no­
                <lb/>
              uam lineam
                <emph.end type="italics"/>
              ; </s>
              <s id="N15145">patet experientiâ in pilâ reflexâ; reflexionis autem ratio­
                <lb/>
              nem afferemus in lib. de motu reflexo. </s>
            </p>
            <p id="N1514B" type="main">
              <s id="N1514D">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              123.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N15159" type="main">
              <s id="N1515B">
                <emph type="italics"/>
              Non determinatur tantùm ratione puncti contactus.
                <emph.end type="italics"/>
              </s>
              <s id="N15162"> Probatur, quia cum
                <lb/>
              eodem puncto contactus poteſt eſſe determinatio ad diuerſam lineam,
                <lb/>
              vt manifeſtum eſt; ſit enim reflexio per angulum æqualem incidentiæ,
                <lb/>
              ſed diuerſi anguli poſſunt in idem punctum coire, vt patet. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum