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

Table of contents

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[61.] _Probl_. IV.
Page: 317 (124)
[62.] _Probl_. V.
Page: 317 (124)
[63.] _Probl_. VI.
Page: 318 (125)
[64.] _Probl_. VII
Page: 318 (125)
[65.] _Probl_. VIII.
Page: 319 (126)
[66.] _Probl_. IX.
Page: 319 (126)
[67.] _Probl_. X.
Page: 320 (127)
[68.] _Corol. Theor_. I.
Page: 321 (128)
[69.] _Theor_. II.
Page: 321 (128)
[70.] _Theor_. III.
Page: 321 (128)
[71.] _Theor_. IV.
Page: 321 (128)
[72.] _Theor_. V.
Page: 322 (129)
[73.] _Theor_. VI.
Page: 323 (130)
[74.] _Theor_. VII.
Page: 323 (130)
[75.] Lect. XIII.
Page: 324 (131)
[76.] Æquationum Series prima.
Page: 324 (131)
[77.] _Notetur autem_,
Page: 325 (132)
[78.] Series ſecunda.
Page: 325 (132)
[79.] Not.
Page: 326 (133)
[80.] Series tertia.
Page: 326 (133)
[81.] Not.
Page: 327 (134)
[82.] Not.
Page: 328 (135)
[83.] Series quarta.
Page: 329 (136)
[84.] Not.
Page: 329 (136)
[85.] Series quinta.
Page: 330 (137)
[86.] Series ſexta.
Page: 331 (138)
[87.] Not.
Page: 331 (138)
[88.] Series ſeptima.
Page: 332 (139)
[89.] Not.
Page: 332 (139)
[90.] Series octava.
Page: 333 (140)
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            ſpatium NR pertinentes intra ZV eidem occurrere; </s>
            <s xml:id="echoid-s2539" xml:space="preserve">quinetiam nulli-
              <lb/>
            us citra punctum M, vel ultra R incidentis refractum (ſeu nullum
              <lb/>
            citra X, vel ultra V cum ipſo KN concurrentem) oculum ingredi
              <lb/>
            poſſe. </s>
            <s xml:id="echoid-s2540" xml:space="preserve">quare ſaltem imago conſiſtet intra terminos VX; </s>
            <s xml:id="echoid-s2541" xml:space="preserve">ſiquidem
              <lb/>
            aliunde qui videntur emanare _Radii_ nihil quicquam ad viſionem con-
              <lb/>
            ferent, aut ad eam ullatenus pertinebunt. </s>
            <s xml:id="echoid-s2542" xml:space="preserve">cæterum quoniam ab VX
              <lb/>
            procedentium (apparenter, inquam, procedentium) reciſſimi, vel
              <lb/>
            axi propriores velut ab ipſo Z procedere videntur (ſeu à loco qui
              <lb/>
            circa ipſum) ipsíque proinde validiùs afficiunt oculum, & </s>
            <s xml:id="echoid-s2543" xml:space="preserve">ab eo
              <lb/>
            fa
              <unsure/>
            ciliùs adunari, recolligíque poſſunt; </s>
            <s xml:id="echoid-s2544" xml:space="preserve">cùm & </s>
            <s xml:id="echoid-s2545" xml:space="preserve">ii præ cæteris confer-
              <lb/>
            tim irruant (illi ſaltem qui ad partes NR, ) quia denique propter
              <lb/>
            anguſtiam pupillæ ſpatium VX haud ita magnum exiſtit; </s>
            <s xml:id="echoid-s2546" xml:space="preserve">cùm, in-
              <lb/>
            guam, hæcità ſe habeant, omnino rationi conſentaneum eſt, dictam
              <lb/>
            imaginem circa punctum Z verſari; </s>
            <s xml:id="echoid-s2547" xml:space="preserve">nec alias arbitror excogitari poſſe
              <lb/>
            veriſimiles cauſas, quæ ſitum ejus determinent. </s>
            <s xml:id="echoid-s2548" xml:space="preserve">_Alhazenw_ quidem,
              <lb/>
            & </s>
            <s xml:id="echoid-s2549" xml:space="preserve">poſt eum pleraque cohors _Opticorum_ ipſam ad punctum K, ubi
              <lb/>
            principalis refractus perpendicularem AB decuſſat, conſtituit; </s>
            <s xml:id="echoid-s2550" xml:space="preserve">ve-
              <lb/>
              <note position="right" xlink:label="note-0063-01" xlink:href="note-0063-01a" xml:space="preserve">Fig. 62.</note>
            rùm haud ullam rei natura cauſam ſuggerit, cur inibi ſtatuatur. </s>
            <s xml:id="echoid-s2551" xml:space="preserve">unicus
              <lb/>
            enim (niſi ſaltem pupilla perpendicularem ipſam AB comprehendat,
              <lb/>
            oculuſque valdè ſit ei propinquus) per illud punctum means radius,
              <lb/>
            afficiendo viſui minimè ſuffecturus, ingredietur oculum; </s>
            <s xml:id="echoid-s2552" xml:space="preserve">eadémque
              <lb/>
            punctorum intra KX ipſi K adjacentium eſt ratio; </s>
            <s xml:id="echoid-s2553" xml:space="preserve">nullus ſiquidem
              <lb/>
            ea permeans refractus oculum attingit; </s>
            <s xml:id="echoid-s2554" xml:space="preserve">nil itaque ſubeſt cauſæ cur
              <lb/>
            punctum A circa K appareat. </s>
            <s xml:id="echoid-s2555" xml:space="preserve">quin adhuc à vero magis aberrat, *qui
              <lb/>
              <note position="right" xlink:label="note-0063-02" xlink:href="note-0063-02a" xml:space="preserve">_D. Hθbbiw._</note>
            faciens NH æ qualem ipſi NA puncto H affigit imaginem (huc, opi-
              <lb/>
            nior, impulſus quia taliter in reflectione ſe rem habere perſpexit;
              <lb/>
            </s>
            <s xml:id="echoid-s2556" xml:space="preserve">cui ſimilis cauſa nì fallor _Euclidem, Alhazenum, Stevinum_ (quan-
              <lb/>
            quam ipſos in diverſum euntes) horúmque ſequaces, in _Catoptricis_,
              <lb/>
            in errorem egit; </s>
            <s xml:id="echoid-s2557" xml:space="preserve">prout uſu non rarò venit _analogias haud bene_
              <lb/>
            _fundatas,_ indiſtinctéque perceptas mortalibus imponere; </s>
            <s xml:id="echoid-s2558" xml:space="preserve">ſed utcunque
              <lb/>
            quod dixi magìs iſta ſententia abhorret à ratione. </s>
            <s xml:id="echoid-s2559" xml:space="preserve">) nullus enim in
              <lb/>
            primo caſu refractorum concurſus fit infra angulum ABF; </s>
            <s xml:id="echoid-s2560" xml:space="preserve">nullus extra
              <lb/>
            illum in ſecundo; </s>
            <s xml:id="echoid-s2561" xml:space="preserve">proindèque fortiùs hanc quæ objecimus, quàm
              <lb/>
            priorem _Alhazeni_ percellunt ſententiam. </s>
            <s xml:id="echoid-s2562" xml:space="preserve">addo quòd ſimul utraque,
              <lb/>
            ſed præſertim hæc, multiplici refragatur experientiæ, multiplicíque
              <lb/>
            ratiocinio; </s>
            <s xml:id="echoid-s2563" xml:space="preserve">pariter enim ſe res habere debuit in _Catoptricis_, ut & </s>
            <s xml:id="echoid-s2564" xml:space="preserve">
              <lb/>
            in _Dioptricis circularibus_; </s>
            <s xml:id="echoid-s2565" xml:space="preserve">id quòd maniſeſtè, longéque ſecus tam
              <lb/>
            ab experientiâ, quàm à ratione compertum eſt. </s>
            <s xml:id="echoid-s2566" xml:space="preserve">quin hanc abunde
              <lb/>
            ſubvertit ac peſſum dat quod ſupra propoſuimus experimentum, nemi-
              <lb/>
            ni non obvium; </s>
            <s xml:id="echoid-s2567" xml:space="preserve">quod nempepunctum A, oculo in ipſo perpendicu.</s>
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