Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
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xml:space
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<
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xml:space
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<
s
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<
s
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<
s
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xml:space
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">erit OZ cub
<
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= OC x OZq - OC x ZT x ZS. </
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<
s
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echoid-s7219
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xml:space
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">tranſponendóque OC x ZT x ZS = OC
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x OZq - OZ cub. </
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<
s
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xml:space
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">atqui propter OZ. </
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<
s
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xml:space
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<
s
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xml:space
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<
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<
s
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xml:space
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">eſt
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OZ x CN = ZS x OC. </
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<
s
xml:id
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xml:space
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">quare OZ x CN x ZT = OC x OZq
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- OZ cub; </
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<
s
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xml:space
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">adeóque (elidendo OZ) erit CN x ZT = OC
<
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x OZ - OZq. </
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<
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xml:space
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">vel CN. </
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<
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xml:space
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<
s
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xml:space
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">: OZ. </
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<
s
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xml:space
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<
s
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xml:space
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">hoc eſt CB. </
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<
s
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<
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OT. </
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<
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<
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<
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">componendo BZ. </
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<
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<
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<
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<
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<
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<
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xml:space
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">itaque
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primò liquet punctum Z imaginem eſſe puncti A, ex refractione
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factam ad circulum BN. </
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<
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R. </
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<
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xml:space
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">palàm eſt NO refractum eſſe radii ad CY, hoc eſt ad FO
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paralleli. </
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<
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</
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<
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<
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<
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<
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xml:space
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">Haud abſimili ratione quoad
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alios caſus (ut ſi circuli refringentis cavum objecto exponatur, & </
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<
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</
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<
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<
s
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xml:space
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">ego ſpecimen tantùm _inſtitui Problematis,_ juxta
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quod viſibilis objecti ſpecies per refractionem circularem ſecundum
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præſtitutas quantitatem atque diſtantiam utcunque poſſit immutari.</
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">UT hæc paullò ſtrigoſior Lectio nonnihil incraſſetur, faciam hîc
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(quanquam alienore loco) quod alibi (ſi mihi tunc in mentem
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veniſſet) factum oportebat; </
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<
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">raciociniis noſtris adverſantem, à viro
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doctiſſimo (alioquin opinor rarò dormitante) commiſſum paralo-
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giſmum, nè cui fraudi ſit, detegam ac amoliar; </
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<
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noſtram confirmabo. </
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<
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<
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rientiæ (ut videbimus) conſonum hoc præſterno: </
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<
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xml:space
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">E refractione quavis
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(nec non è reflectione ad circulum) duobus oculis apprehenſum ob-
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jectum (puta lwcidum punctum A) reverà duplum apparet, ſeu duas (ad
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minus) obtinet imagines.</
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</
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<
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">Nam à puncto A exeuntes inſlectenti M N incidant duo quicunque
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<
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note
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radii AM, AN; </
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<
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</
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<
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<
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A imago nulla ad occurſum X exiſtat, è ſupra poſitis, ac probatis con-
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ſectatur (omnes enim imagines ad illa conſiſtere docuimus inflexorum
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puncta, ad quæ nulli illos alii inflexi interſecant) itaque duæ ſunt
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imagines puncti A, una in inflexo EM (qualis α) ad oculum O per-
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tinens; </
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<
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<
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xml:space
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">Hinc liquet etiam magnitudinis cujuſvis hoc modo ſpectatæ duplicem
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imaginem haberi.</
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