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

Page concordance

< >
Scan Original
51 33
52 34
53 35
54 36
55 37
56 38
57 39
58 40
59 41
60 42
61 43
62 44
63 45
64 46
65 47
66 48
67 49
68 50
69 51
70 52
71 53
72 54
73 55
74 56
75 57
76 58
77 59
78 60
79 61
80 62
< >
page |< < (58) of 393 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div81" type="section" level="1" n="16">
          <pb o="58" file="0076" n="76"/>
        </div>
        <div xml:id="echoid-div91" type="section" level="1" n="17">
          <head xml:id="echoid-head20" xml:space="preserve">
            <emph style="sc">Lect</emph>
          . VIII.</head>
          <p>
            <s xml:id="echoid-s3264" xml:space="preserve">I QUæ radiis obveniunt à longinquo puncto manantibus, adc-
              <lb/>
            óque quaſi parallelis, ex reflectione peripheriam ad circula-
              <lb/>
            rem peractâ; </s>
            <s xml:id="echoid-s3265" xml:space="preserve">ubinam & </s>
            <s xml:id="echoid-s3266" xml:space="preserve">quouſque vel ſibimet ipſis occurrunt, vel ax-
              <lb/>
            em interſecant; </s>
            <s xml:id="echoid-s3267" xml:space="preserve">quo loco radians oculo ubicunque conſtituto repræ-
              <lb/>
            ſentant, in poſtremis eſt diſſertatum. </s>
            <s xml:id="echoid-s3268" xml:space="preserve">ad punctum jam accedimus ra-
              <lb/>
            dios ejiciens ſenſibiliter divergentes. </s>
            <s xml:id="echoid-s3269" xml:space="preserve">Et hujuſmodi quidem puncto,
              <lb/>
            quanquam ſeu in obverſas circuli Convexas partes ſeu ad concavas
              <lb/>
            radiet communia pleraque ſymptomata conveniunt; </s>
            <s xml:id="echoid-s3270" xml:space="preserve">tamen communi
              <lb/>
            fretus _Opticorum_ exemplo, præſertímque majoris evidentiæ causâ,
              <lb/>
            caſus iſtos diſtinctè proſequemur; </s>
            <s xml:id="echoid-s3271" xml:space="preserve">illum fuſiùs imprimis, hunc aliquan-
              <lb/>
            to conciſiùs. </s>
            <s xml:id="echoid-s3272" xml:space="preserve">ad rem.</s>
            <s xml:id="echoid-s3273" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3274" xml:space="preserve">II. </s>
            <s xml:id="echoid-s3275" xml:space="preserve">In circuli BNP (cujus centrum C) convexum à puncto A
              <lb/>
            quilibet incidat radius AN, íſque reflectatur in NG; </s>
            <s xml:id="echoid-s3276" xml:space="preserve">patet reflex-
              <lb/>
            um GN productum axi AC occurſurum. </s>
            <s xml:id="echoid-s3277" xml:space="preserve">nam ductâ CNE patet
              <lb/>
            GN productum angulum ANC ſecare; </s>
            <s xml:id="echoid-s3278" xml:space="preserve">nec non ideò trianguli
              <lb/>
            ANC baſin AC; </s>
            <s xml:id="echoid-s3279" xml:space="preserve">puta in K; </s>
            <s xml:id="echoid-s3280" xml:space="preserve">quo poſito.</s>
            <s xml:id="echoid-s3281" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3282" xml:space="preserve">III. </s>
            <s xml:id="echoid-s3283" xml:space="preserve">Dico fore AC. </s>
            <s xml:id="echoid-s3284" xml:space="preserve">AN :</s>
            <s xml:id="echoid-s3285" xml:space="preserve">: KC. </s>
            <s xml:id="echoid-s3286" xml:space="preserve">KN. </s>
            <s xml:id="echoid-s3287" xml:space="preserve">Nam ducatur KH ad
              <lb/>
            CN parallela. </s>
            <s xml:id="echoid-s3288" xml:space="preserve">eſt igitnr ang. </s>
            <s xml:id="echoid-s3289" xml:space="preserve">KHN = CNP = CNK = NKH.
              <lb/>
            </s>
            <s xml:id="echoid-s3290" xml:space="preserve">hoc etiam è ſuperiùs generatim oftenſis conſectatur. </s>
            <s xml:id="echoid-s3291" xml:space="preserve">adeóque NH
              <lb/>
            = NK. </s>
            <s xml:id="echoid-s3292" xml:space="preserve">itâque cùm ſit AC. </s>
            <s xml:id="echoid-s3293" xml:space="preserve">AN :</s>
            <s xml:id="echoid-s3294" xml:space="preserve">: KC. </s>
            <s xml:id="echoid-s3295" xml:space="preserve">HN. </s>
            <s xml:id="echoid-s3296" xml:space="preserve">erit etiam AC. </s>
            <s xml:id="echoid-s3297" xml:space="preserve">
              <lb/>
            AN :</s>
            <s xml:id="echoid-s3298" xml:space="preserve">: KC. </s>
            <s xml:id="echoid-s3299" xml:space="preserve">KN.</s>
            <s xml:id="echoid-s3300" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3301" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s3302" xml:space="preserve">Corollarii loco notetur (ductâ CP) fore NH = NK;
              <lb/>
            </s>
            <s xml:id="echoid-s3303" xml:space="preserve">& </s>
            <s xml:id="echoid-s3304" xml:space="preserve">triangula HNK, NCP aſſimilari; </s>
            <s xml:id="echoid-s3305" xml:space="preserve">vel eſſe HK. </s>
            <s xml:id="echoid-s3306" xml:space="preserve">HN :</s>
            <s xml:id="echoid-s3307" xml:space="preserve">: NP. </s>
            <s xml:id="echoid-s3308" xml:space="preserve">
              <lb/>
            CN.</s>
            <s xml:id="echoid-s3309" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3310" xml:space="preserve">V. </s>
            <s xml:id="echoid-s3311" xml:space="preserve">Porrò, conftantibus iiſdem, dico fore AC. </s>
            <s xml:id="echoid-s3312" xml:space="preserve">KC :</s>
            <s xml:id="echoid-s3313" xml:space="preserve">: ACq
              <lb/>
            - ANq . </s>
            <s xml:id="echoid-s3314" xml:space="preserve">CNq. </s>
            <s xml:id="echoid-s3315" xml:space="preserve">Nam eſt NP. </s>
            <s xml:id="echoid-s3316" xml:space="preserve">CN + AN. </s>
            <s xml:id="echoid-s3317" xml:space="preserve">CN = HK.
              <lb/>
            </s>
            <s xml:id="echoid-s3318" xml:space="preserve">HN + AN. </s>
            <s xml:id="echoid-s3319" xml:space="preserve">CN = HK x AN. </s>
            <s xml:id="echoid-s3320" xml:space="preserve">HN x CN = AN. </s>
            <s xml:id="echoid-s3321" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum