Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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Quod (licèt breviùs) conficenetur negotium adſumendo ſicut eadem
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_Tbebis Atbenas, ac Atbenis Tbebas_ eſt via, ità radium de raro tranſe-
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untem in denſius, pérque denſius veſtigia ſua replicantem in rarum
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nil aliud quàm eandem ſemitam repetere; </
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>
<
s
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xml:space
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de raro tranſiens in denſius refringatur in α β κ δ; </
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<
s
xml:id
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xml:space
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">quòd etiam hic ra-
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dius α β κ δ è denſiori recidens in rarum viciſſimin ABDC refringe-
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tur; </
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<
s
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xml:space
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">quia tamen aſſumptum illud non nemini demonſtrationis & </
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>
<
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ſum indigere videatur; </
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<
s
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xml:space
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">Et univerſim, extremóque rigore ſumptum for-
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ſan haud adeò verum ſit; </
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<
s
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xml:space
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">majoris etiam evidentiæ cauſa; </
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<
s
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xml:space
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">preſertîmq;
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</
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<
s
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xml:space
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">demùm quoniam huic caſui nonnulla quodammodò peculiaria ſunt no-
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tatu non indigna; </
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<
s
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xml:space
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">quin addo quia præſtare videtur effectum unum-
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quemque propriis è cauſis deduci) ſeparatim oſtendemus. </
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<
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">Rurſum
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igitur radius ABDC, quâ priùs figurâ donatus rarioris medii ſuper-
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ficiem EF incurrat. </
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<
s
xml:id
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xml:space
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">Cùm igitur punctum B velociùs procedere jam va-
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leat quàm anteà (medio ſcilicet illapſum promptiùs cedenti) hoc eſt
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quàm punctum D, neceſſariò commutabitur rectus utriuſque, quem
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affectant, motus in ei proximum circularem, circa punctum aliquod
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in recta BD, puta circa Z; </
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<
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">itâ ut ZD, ZB talem inter ſe proportio-
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<
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">Fig. 9.</
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nem obſervent, qualem ſingularis exigit horum in reſiſtentia mediorum
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diverſitas; </
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<
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">utique ſicut in quæ præceſſerunt; </
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<
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xml:space
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">cùm verò punctum B
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ità circumductum deſcripſerit arcum B β, & </
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<
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</
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<
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inæqualitas; </
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Z; </
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<
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">ambóque puncta B, D per dictorum arcuum tangentes β α, δ κ (re-
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ctæ Z β perpendiculares) quod proximum eſt iter arripient. </
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autem, pariter ac in caſu præ cedente, rectæ ZD, ZB (vel Z δ, ZB)
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proportionem exhibent, quæ refractiones hujuſmodi dimetitur; </
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bent autem Z δ, ZB ſeipſas, ut recti ſinus angulorum ZB δ, Z δ E; </
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hoc eſt ut ſinus inclinationis rectæ AB ad ſinum inclinationis rectæ δ κ; </
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quod propoſitum fuit oſtendere. </
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major eſt angulo ZB δ, adeóque quod refractus divergit à per-
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pendiculari.</
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">Advertendum eſt porrò quoad priorem hypotheſin, ſeu caſum
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radii de medio rariori contendentis in denſius, eum femper, qualiſcunq;
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</
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modo commonſtratotrato. </
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">abſtractè debet in-
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telligi, necut accidentarium quicquam interveniat, qualia ſunt, opaci-
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tas perſpicuitati immiſta, figura diaphanum terminans, ejus craſſities
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inæqualis, aliud quid poſt poſitum diaphani reſiſtentiam promovens;</
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