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

Page concordance

< >
Scan Original
101 83
102 84
103 85
104 86
105 87
106 88
107 89
108 90
109 91
110 92
111 93
112 94
113 95
114 96
115 97
116 98
117 99
118 100
119 101
120 102
121 103
122 104
123 105
124 106
125 107
126 108
127 109
128 110
129 111
130 112
< >
page |< < (30) of 393 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div32" type="section" level="1" n="12">
          <pb o="30" file="0048" n="48" rhead=""/>
          <p>
            <s xml:id="echoid-s1347" xml:space="preserve">XVI. </s>
            <s xml:id="echoid-s1348" xml:space="preserve">Hinc punctum Z erit ipſius A (reſpectu oculi uspiam conſti-
              <lb/>
            tuti) imago perfectiſſima. </s>
            <s xml:id="echoid-s1349" xml:space="preserve">Siquidem imaginis vocabulo nil aliud in-
              <lb/>
            telligo, quàm locum à quo plures radii (quot ſcilicet afficiendo viſui
              <lb/>
            ſufficiunt) ſimiliter divergere, ſeu dimanare videntur, atque cùm à
              <lb/>
            primariis objectis diffunduntur. </s>
            <s xml:id="echoid-s1350" xml:space="preserve">Proinde cujuſvis hoc modo radiantis
              <lb/>
            objecti locus apparens, vel imago facilimè determinatur.</s>
            <s xml:id="echoid-s1351" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1352" xml:space="preserve">XVII. </s>
            <s xml:id="echoid-s1353" xml:space="preserve">Exhinc etiam eâdem operâ, viſùs imaginem adſpectantis axis,
              <lb/>
            ſeu reflexus principalis (iſte nimirum qui per oculi centrum (puta O)
              <lb/>
            tranſit,) & </s>
            <s xml:id="echoid-s1354" xml:space="preserve">reflectionis (quod vocant) punctum determinantur. </s>
            <s xml:id="echoid-s1355" xml:space="preserve">Con-
              <lb/>
            nexa nempe recta OZ@erit axis iſte; </s>
            <s xml:id="echoid-s1356" xml:space="preserve">nec non ejus cum EF interſectio
              <lb/>
            N, punctum reflectionis.</s>
            <s xml:id="echoid-s1357" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1358" xml:space="preserve">XVIII. </s>
            <s xml:id="echoid-s1359" xml:space="preserve">Quoad hoc reflectionis punctum unicam ſubjiciemus anno-
              <lb/>
            tatiunculam. </s>
            <s xml:id="echoid-s1360" xml:space="preserve">Radiante puncto A, & </s>
            <s xml:id="echoid-s1361" xml:space="preserve">oculi centro O fixis manentibus
              <lb/>
            recta Catoptrica EF ponatur rectæ cuidam OP parallela, ſed alioquin
              <lb/>
            ſitu indeterminata; </s>
            <s xml:id="echoid-s1362" xml:space="preserve">erunt omnia reflectionis puncta in _Hyperbolæ_.
              <lb/>
            </s>
            <s xml:id="echoid-s1363" xml:space="preserve">Sit, inquam, AP ad OP perpendicularis, & </s>
            <s xml:id="echoid-s1364" xml:space="preserve">biſecentur AP in X, at-
              <lb/>
            que PO in Y; </s>
            <s xml:id="echoid-s1365" xml:space="preserve">& </s>
            <s xml:id="echoid-s1366" xml:space="preserve">per X ducatur XG ad PO parallela, item per Y
              <lb/>
              <note position="left" xlink:label="note-0048-01" xlink:href="note-0048-01a" xml:space="preserve">Fig. 30.</note>
            ducatur YH ad AP parallela; </s>
            <s xml:id="echoid-s1367" xml:space="preserve">& </s>
            <s xml:id="echoid-s1368" xml:space="preserve">XG, YH concurrant in C; </s>
            <s xml:id="echoid-s1369" xml:space="preserve">tum
              <lb/>
            Aſymptotis CG, CH per ipſum O deſcripta concipiatur _Hyperbole_
              <lb/>
            ROS; </s>
            <s xml:id="echoid-s1370" xml:space="preserve">hæc per omnia reflectionum dictarum puncta tranſibit. </s>
            <s xml:id="echoid-s1371" xml:space="preserve">Nam
              <lb/>
            utcunque ducta EF ad PO parallela _Hyperbolæ_ ROS occurrat ad N;
              <lb/>
            </s>
            <s xml:id="echoid-s1372" xml:space="preserve">& </s>
            <s xml:id="echoid-s1373" xml:space="preserve">ducantur rectæ AN, ON; </s>
            <s xml:id="echoid-s1374" xml:space="preserve">dico angulnm ANE angulo ONF
              <lb/>
            æquari. </s>
            <s xml:id="echoid-s1375" xml:space="preserve">Secet enim AP ipſam EF in B; </s>
            <s xml:id="echoid-s1376" xml:space="preserve">& </s>
            <s xml:id="echoid-s1377" xml:space="preserve">ducatur OQ ad AB
              <lb/>
            parallela. </s>
            <s xml:id="echoid-s1378" xml:space="preserve">Et, ex _Hyperbolæ_ natura, eſt CD. </s>
            <s xml:id="echoid-s1379" xml:space="preserve">CY :</s>
            <s xml:id="echoid-s1380" xml:space="preserve">: YODN. </s>
            <s xml:id="echoid-s1381" xml:space="preserve">
              <lb/>
            quare dividendo erit YD. </s>
            <s xml:id="echoid-s1382" xml:space="preserve">CY :</s>
            <s xml:id="echoid-s1383" xml:space="preserve">: YO-DNDN; </s>
            <s xml:id="echoid-s1384" xml:space="preserve">hoc eſt OQ. </s>
            <s xml:id="echoid-s1385" xml:space="preserve">
              <lb/>
            CY :</s>
            <s xml:id="echoid-s1386" xml:space="preserve">: NQDN. </s>
            <s xml:id="echoid-s1387" xml:space="preserve">& </s>
            <s xml:id="echoid-s1388" xml:space="preserve">permutatim OQNQ :</s>
            <s xml:id="echoid-s1389" xml:space="preserve">: CY. </s>
            <s xml:id="echoid-s1390" xml:space="preserve">DN. </s>
            <s xml:id="echoid-s1391" xml:space="preserve">item
              <lb/>
            rurſus ob CD. </s>
            <s xml:id="echoid-s1392" xml:space="preserve">CY :</s>
            <s xml:id="echoid-s1393" xml:space="preserve">: YO. </s>
            <s xml:id="echoid-s1394" xml:space="preserve">DN. </s>
            <s xml:id="echoid-s1395" xml:space="preserve">erit componendo CD + CY. </s>
            <s xml:id="echoid-s1396" xml:space="preserve">
              <lb/>
            CY :</s>
            <s xml:id="echoid-s1397" xml:space="preserve">: YO + DN. </s>
            <s xml:id="echoid-s1398" xml:space="preserve">DN. </s>
            <s xml:id="echoid-s1399" xml:space="preserve">hoc eſt AB. </s>
            <s xml:id="echoid-s1400" xml:space="preserve">CY :</s>
            <s xml:id="echoid-s1401" xml:space="preserve">: BN. </s>
            <s xml:id="echoid-s1402" xml:space="preserve">DN. </s>
            <s xml:id="echoid-s1403" xml:space="preserve">vel
              <lb/>
            permutando AB. </s>
            <s xml:id="echoid-s1404" xml:space="preserve">BN :</s>
            <s xml:id="echoid-s1405" xml:space="preserve">: CY. </s>
            <s xml:id="echoid-s1406" xml:space="preserve">DN. </s>
            <s xml:id="echoid-s1407" xml:space="preserve">quare eſt OQ. </s>
            <s xml:id="echoid-s1408" xml:space="preserve">NQ :</s>
            <s xml:id="echoid-s1409" xml:space="preserve">: AB. </s>
            <s xml:id="echoid-s1410" xml:space="preserve">
              <lb/>
            BN. </s>
            <s xml:id="echoid-s1411" xml:space="preserve">ergò rectangula triangula, OQN, ABN ſimilia ſunt; </s>
            <s xml:id="echoid-s1412" xml:space="preserve">& </s>
            <s xml:id="echoid-s1413" xml:space="preserve">patet
              <lb/>
            angulum ONQ angulo ANB æquari: </s>
            <s xml:id="echoid-s1414" xml:space="preserve">Q. </s>
            <s xml:id="echoid-s1415" xml:space="preserve">E. </s>
            <s xml:id="echoid-s1416" xml:space="preserve">D.</s>
            <s xml:id="echoid-s1417" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1418" xml:space="preserve">Mereri ſaltem vel _Hyperbolæ gratiâ_ videbatur hæc ejuſce proprietas
              <lb/>
            adnotari; </s>
            <s xml:id="echoid-s1419" xml:space="preserve">quin & </s>
            <s xml:id="echoid-s1420" xml:space="preserve">Analogiæ cauſà verſus ea quæ ſequentur. </s>
            <s xml:id="echoid-s1421" xml:space="preserve">Neque
              <lb/>
            de reflectionibus ad plana quicquam prætereà. </s>
            <s xml:id="echoid-s1422" xml:space="preserve">Ad refractiones
              <lb/>
            tranſeo.</s>
            <s xml:id="echoid-s1423" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum