Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
Scan Original
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N22A20">
            <p id="N22B81" type="main">
              <s id="N22B83">
                <pb pagenum="299" xlink:href="026/01/333.jpg"/>
              aſſumatur in ſingulis inſtantibus finitis, eſt iuxta ſeriem ſimplicem nu­
                <lb/>
              merorum 1. 2. 3. 4. &c. </s>
            </p>
            <p id="N22B9A" type="main">
              <s id="N22B9C">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              4.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22BA9" type="main">
              <s id="N22BAB">
                <emph type="italics"/>
              Motus in plano inclinato eſt ad motum in perpendiculari, vt perpendicula­
                <lb/>
              ris ad inclinatam
                <emph.end type="italics"/>
              ; </s>
              <s id="N22BB6">quod etiam lib.5.fusè explicatum eſt; eſt autem ſem­
                <lb/>
              per in plano inclinato motus prioris grauis. </s>
            </p>
            <p id="N22BBC" type="main">
              <s id="N22BBE">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              5.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22BCB" type="main">
              <s id="N22BCD">
                <emph type="italics"/>
              In quadrante incubante perpendiculariter plano horizontali, tot ſunt di­
                <lb/>
              uerſa plana inclinata, quot ſunt puncta, ſeu Tangentes
                <emph.end type="italics"/>
              ; hoc etiam certum
                <lb/>
              eſt, & angulus contingentiæ maior eſt in minore circulo, minor in
                <lb/>
              maiore. </s>
            </p>
            <p id="N22BDC" type="main">
              <s id="N22BDE">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              6.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22BEB" type="main">
              <s id="N22BED">
                <emph type="italics"/>
              Nullus arcus circuli eſt vt linea recta, nec ſine errore accipi poteſt vt recta,
                <emph.end type="italics"/>
                <lb/>
              contrariam hypotheſim aliqui ſupponunt, quam tamen falſam eſſe ſciunt; </s>
              <s id="N22BF7">
                <lb/>
              licèt enim quoad ſenſum error ſubeſſe non poſſit; </s>
              <s id="N22BFC">attamen repugnat
                <lb/>
              Geometriæ: </s>
              <s id="N22C02">hinc ſuppoſitio noſtra Geometricè vera eſt; ſed de hoc in­
                <lb/>
              frà fusè. </s>
            </p>
            <p id="N22C08" type="main">
              <s id="N22C0A">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22C17" type="main">
              <s id="N22C19">
                <emph type="italics"/>
              Tamdiu durat motus, quandiu durat impetus; hic autem tandiu durat,
                <lb/>
              quamdiu non eſt frustrà.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N22C23" type="main">
              <s id="N22C25">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22C32" type="main">
              <s id="N22C34">
                <emph type="italics"/>
              Noua determinatio impotus cum priore facit mixtum ſi determinatio mixta
                <lb/>
              facit nouam lineam.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N22C3D" type="main">
              <s id="N22C3F">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22C4C" type="main">
              <s id="N22C4E">
                <emph type="italics"/>
              Quotieſcunque fit mixta determinatio per acceſſionem noni impetus, de­
                <lb/>
              ſtruitur aliquid impetus prioris, patet.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N22C57" type="main">
              <s id="N22C59">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              4.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22C66" type="main">
              <s id="N22C68">
                <emph type="italics"/>
              Impetus innatus non concurrit ad motum ſurſum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N22C6F" type="main">
              <s id="N22C71">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              5.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22C7E" type="main">
              <s id="N22C80">
                <emph type="italics"/>
              In inclinata minùs destruitur impetus dato tempore, quàm in perpendicu­
                <lb/>
              lari ſurſum, plùs verò destruitur, quò propiùs accedit ad verticalem
                <emph.end type="italics"/>
              ; hæc
                <lb/>
              omnia quæ loco Axiomatum hîc propoſui, in ſuperioribus libris, præ­
                <lb/>
              ſertim in Quinto abundè demonſtraui. </s>
            </p>
            <p id="N22C8F" type="main">
              <s id="N22C91">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22C9E" type="main">
              <s id="N22CA0">
                <emph type="italics"/>
              Funependulum deſcendit motu accelerato
                <emph.end type="italics"/>
              ; </s>
              <s id="N22CA9">experientia certa eſt, eius
                <lb/>
              ratio eſt eadem cum ea, quam attuli lib.2. de motu naturali, vt eius ac­
                <lb/>
              celerationem demonſtrarem; </s>
              <s id="N22CB1">ſcilicet impetus nouus ſingulis inſtantibus
                <lb/>
              producitur, cùm ſit ſemper eadem cauſa applicata; </s>
              <s id="N22CB7">corpus enim graue
                <lb/>
              ſua ſponte deſcendit; </s>
              <s id="N22CBD">quod autem impetui priori accedat, patet; </s>
              <s id="N22CC1">nec
                <lb/>
              enim deſtruitur ſaltem totus alioqui fruſtrà produceretur, contra Axio­
                <lb/>
              ma primum, adde quòd in plano inclinato deorſum graue deſcendit motu </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum