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

Page concordance

< >
Scan Original
71 53
72 54
73 55
74 56
75 57
76 58
77 59
78 60
79 61
80 62
81 63
82 64
83 65
84 66
85 67
86 68
87 69
88 70
89 71
90 72
91 73
92 74
93 75
94 76
95 77
96 78
97 79
98 80
99 81
100 82
< >
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