Gassendi, Pierre, De motu impresso a motore translato epistulae duae, 1642

Page concordance

< >
Scan Original
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
< >
page |< < of 158 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id.000588">
                <pb pagenum="72" xlink:href="027/01/079.jpg"/>
              quædam angulo oppoſitæ, DE, FG, HI, KL, &
                <lb/>
              plures, ſi velis; itemque diuiſa in totidem parteis
                <lb/>
              KL, ducantur parallelæ DM, FN, HO; & EO,
                <lb/>
              GN, IM: diſpeſcetur ſpatium in eos, quos vides
                <lb/>
              triangulos, inter ſeſe omninò pareis. </s>
              <s id="id.000589">Concipe iam
                <lb/>
              lineas ab angulo incipientes repræſentare tempus ab
                <lb/>
              aliquo puncto æquabiliter fluens, & parteis linearum
                <lb/>
              æqualeis repræſentare æqualeis parteis, ſiue mo­
                <lb/>
              menta temporis. </s>
              <s id="id.000590">Concipe rurſùs interuallum vnifor­
                <lb/>
              miter creſcens repræſentare velocitatem vniformi­
                <lb/>
              ter increſcentem, & quos pareis triangulos vides,
                <lb/>
              totidem gradus velocitatis, & conſequenter parteis
                <lb/>
              ſpatij, quod graue decidens percurrit. </s>
              <s id="id.000591">Tunc agnoſ­
                <lb/>
              ces ſanè, cùm in primo momento ſit vnus gradus
                <lb/>
              impetus, ſeu velocitatis, acquiri in ſecundo treis, in
                <lb/>
              tertio quinque, in quarto ſeptem, qui progreſſus eſt
                <lb/>
              numerorum ab vnitate imparium. </s>
              <s id="id.000592">Et aliunde, ſi du­
                <lb/>
              cas lineam, quæ diuiſa in ſexdecim parteis referat
                <lb/>
              orgyiarum ſexdecim altitudinem; agnoſces cur gra­
                <lb/>
              ue in fine primi momenti deſcenderit vnam orgyiam,
                <lb/>
              in fine ſecundi quatuor, in fine tertij nouem, in fine
                <lb/>
              quarti ſexdecim: quia nempe ita ſe habere aggre­
                <lb/>
              gando intelliguntur memorati trianguli in fine
                <lb/>
              cuiuſque repræſentati momenti. </s>
              <s id="id.000593">Agnoſces quoque,
                <lb/>
              cur idem graue ſurſùm projectum ſecundum ean­
                <lb/>
              dem lineam tanto tempore aſcendat, quanto deſ­
                <lb/>
              cendit, & velocitas motus eius eadem ratione aſcen­
                <lb/>
              dendo decreſcat, qua deſcendendo increſcit Quia
                <lb/>
              ſi ſupponas vim proiectricem indidiſſe illi ſeptem ve­
                <lb/>
              locitatis gradus, vt ſunt ſeptem trianguli ad infi-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>