Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

Table of Notes

< >
[Note]
Page: 135
[Note]
Page: 136
[Note]
Page: 137
[Note]
Page: 137
[Note]
Page: 138
[Note]
Page: 138
[Note]
Page: 139
[Note]
Page: 140
[Note]
Page: 141
[Note]
Page: 141
[Note]
Page: 142
[Note]
Page: 143
[Note]
Page: 194
[Note]
Page: 197
[Note]
Page: 197
[Note]
Page: 199
[Note]
Page: 203
[Note]
Page: 204
[Note]
Page: 205
[Note]
Page: 207
[Note]
Page: 207
[Note]
Page: 207
[Note]
Page: 208
[Note]
Page: 208
[Note]
Page: 208
[Note]
Page: 209
[Note]
Page: 210
[Note]
Page: 211
[Note]
Page: 211
[Note]
Page: 212
< >
page |< < (14) of 393 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div218" type="section" level="1" n="29">
          <p>
            <s xml:id="echoid-s8601" xml:space="preserve">
              <pb o="14" file="0192" n="207" rhead=""/>
            deſcribi: </s>
            <s xml:id="echoid-s8602" xml:space="preserve">Quòd linea recta per alterius cujuſvis lineæ longitudinem ità
              <lb/>
            procedere poſſit, ut ſitum intereà parallelum perpetuò ſervet (hoc eſt
              <lb/>
            ut ipſa juxta poſitionem, quam in quolibet remporis momento ſor-
              <lb/>
            titur, parallela ſit ſibi ſecundum poſitionem ſuam in alio quovis tem-
              <lb/>
            poris momento:) </s>
            <s xml:id="echoid-s8603" xml:space="preserve">Item, quod linea quævis (definitè vel indefinitè
              <lb/>
            protenſa, quod in omnibus intelligendum) motu directo, itidem ſibi
              <lb/>
            parallelo, progredi poſſit (directo inquam, hoc eſt ut ejus ſingula
              <lb/>
            pu
              <unsure/>
            ncta lineas rectas deſcribant) qui ſanè duo motus ſibimet æquiva-
              <lb/>
            lent, eundémque procreant effectum eorúmque alterutro productæ
              <lb/>
            concipiantur illæ, quæ præ cæteris æquabiles, ac uni@ormes haberi
              <lb/>
            merentur ſuperficies; </s>
            <s xml:id="echoid-s8604" xml:space="preserve">quales ſunt in plano _Superficie par allelogramma
              <unsure/>
            _
              <lb/>
            (ſeu penitus rectilineæ, ſive mixtæ) in Solido (ut ita dicam, vel non
              <lb/>
            in uno plano delineatæ) _Superficies priſmaticæ, Cylindricæque,_ tum
              <lb/>
              <note position="left" xlink:label="note-0192-01" xlink:href="note-0192-01a" xml:space="preserve">Fig. 3.</note>
            quæ ſtricto, tum quæ latiori ſignificatu dicuntur. </s>
            <s xml:id="echoid-s8605" xml:space="preserve">Sit in exemplum
              <lb/>
            primò recta linea BC, cui inſiſtens recta AB per ipſam BC feratur,
              <lb/>
            ſibi continuo parallela, donec puncto B ad C promoto recta AB ipſi
              <lb/>
            DC ad AB parallelæ congruat. </s>
            <s xml:id="echoid-s8606" xml:space="preserve">Manifeſtum eſt hujuſmodi motu
              <lb/>
            procreari _figuram planam parallelogrammam_ ABCD. </s>
            <s xml:id="echoid-s8607" xml:space="preserve">Patet etiam
              <lb/>
            quodlibet aſſumptum in AB punctum, ut E, rectam lineam deſcri-
              <lb/>
            bere, cujus partes EE rectis AB interceptæ, rectæ BC partibus
              <lb/>
            BB, per eaſdem reſpectivè rectas AB interceptis (hoc eſt eodem
              <lb/>
            tempore à puncto B decurſis) æquantur. </s>
            <s xml:id="echoid-s8608" xml:space="preserve">Neque minùs patet, ſi
              <lb/>
            vice versâ recta BC per ipſam BA feratur, eandem ſuperficiem de-
              <lb/>
            lineari; </s>
            <s xml:id="echoid-s8609" xml:space="preserve">omniáque rectæ BC puncta (ceu F) rectas lineas effingere;
              <lb/>
            </s>
            <s xml:id="echoid-s8610" xml:space="preserve">
              <note position="left" xlink:label="note-0192-02" xlink:href="note-0192-02a" xml:space="preserve">Fig. 4.</note>
            nec non harum partes FF parallelis BC interceptas reſpectivis lineæ
              <lb/>
            AB partibus BB adæquari. </s>
            <s xml:id="echoid-s8611" xml:space="preserve">(Notetur autem abhinc brevitatis ergò
              <lb/>
            tam in his, quàm in ſimilibus caſibus harum linearum illam, quæ
              <lb/>
            motu ſuo magnitudinem deſcribit à me _Genetricem_ dici; </s>
            <s xml:id="echoid-s8612" xml:space="preserve">alteram
              <lb/>
            autem, juxta quam, vel cui inſiſtens, prior defertur, _Directricem_ ap-
              <lb/>
            pellari; </s>
            <s xml:id="echoid-s8613" xml:space="preserve">quia motæ lineæ proceſlus ab ea dirigitur, vel ad eam accom-
              <lb/>
            modatur.) </s>
            <s xml:id="echoid-s8614" xml:space="preserve">Sit rurſus linea quæpiam curva (velut arcus circularis)
              <lb/>
              <note position="left" xlink:label="note-0192-03" xlink:href="note-0192-03a" xml:space="preserve">Fig. 5.</note>
            BC, cui in eodem plano inſiſtat linea recta AB; </s>
            <s xml:id="echoid-s8615" xml:space="preserve">& </s>
            <s xml:id="echoid-s8616" xml:space="preserve">per curvam BC
              <lb/>
            continuò deferatur recta AB, ſibimet æquidiſtans, donec punctum B
              <lb/>
            ad C pertigerit, & </s>
            <s xml:id="echoid-s8617" xml:space="preserve">recta AB demum rectæ DC ad ipſam AB primò
              <lb/>
            poſitam parallelæ congruerit; </s>
            <s xml:id="echoid-s8618" xml:space="preserve">deſcribetur hoc motu figura quoque
              <lb/>
            plano (latiore ſignificatu) parallelogramma; </s>
            <s xml:id="echoid-s8619" xml:space="preserve">quia ſcilicet adverſa
              <lb/>
            hujus ſiguræ latera ſibi parallela ſunt, recta AB rectæ DC, & </s>
            <s xml:id="echoid-s8620" xml:space="preserve">curva
              <lb/>
            AD curvæ BC. </s>
            <s xml:id="echoid-s8621" xml:space="preserve">Nam & </s>
            <s xml:id="echoid-s8622" xml:space="preserve">hîc ſingula quæque _Genetricis_ rectæ puncta
              <unsure/>
              <lb/>
            (velut E) lineas deſcribent _directrici_ BC ſimiles & </s>
            <s xml:id="echoid-s8623" xml:space="preserve">æquales; </s>
            <s xml:id="echoid-s8624" xml:space="preserve">cùm
              <lb/>
            integras, tum iiſdem parallelis AB interceptas partes; </s>
            <s xml:id="echoid-s8625" xml:space="preserve">ſi enim </s>
          </p>
        </div>
      </text>
    </echo>
Impressum