Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
s
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xml:space
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">Has inſtantias, facilitatis gratiâ, ità propoſuimus, quaſi punctum
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A, unà cum duobus oculis O, P in plano exiſteret ad ſuperficiem in-
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flectentem recto. </
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<
s
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echoid-s7316
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xml:space
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">id quod utrùm in experiendo præcisè contingat
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nécne, parùm refert; </
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<
s
xml:id
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echoid-s7317
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xml:space
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">duas utcunque ſpecies apparere liquet. </
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<
s
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echoid-s7318
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xml:space
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">quin
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facilè concipitur etiam eo poſito rem non aliter ſe habituram.</
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<
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</
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<
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<
s
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echoid-s7320
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xml:space
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">His prælibatis, illud diſcutiamus, quod innuimus, ψευ{δ ο}{γ ρ}άφημæ
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<
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xml:space
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">_In Dioper._</
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quo nempe P. </
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<
s
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echoid-s7321
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xml:space
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">_Herigonius_ propoſitionem hanc ſuam comprobatum it:
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</
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<
s
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xml:space
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">“ Si oculus, & </
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<
s
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echoid-s7323
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xml:space
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">aſpectabile ſint in diverſis mediis ſè mutuo contingen-
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tibus, imago apparebit in concurſu catheti, & </
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<
s
xml:id
="
echoid-s7324
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xml:space
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">radii ab oculo per
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punctum refractionis directè producti.</
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<
s
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</
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<
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<
s
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xml:space
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">Sit utique punctum Fin medio denſiori HLMN collocatum, quod
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<
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xml:space
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">Fig. 181.</
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ad oculos A, B radios FEA, FDB emittat refractos ad E, & </
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<
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">D;
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</
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<
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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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">rectæ AE, BD conveniant in C; </
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<
s
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echoid-s7330
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xml:space
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">ſit autem ſuperficiei refringenti
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perpendicularis recta FG; </
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<
s
xml:id
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echoid-s7331
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xml:space
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">erit (inquit) puncti F imago in recta
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FG. </
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<
s
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echoid-s7332
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xml:space
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">id quod ità demonſtrat: </
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<
s
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echoid-s7333
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xml:space
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">Quoniam dicta imago tam in refracto
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AE, quàm in refracto BD exiftit, ergò in horum interſectione C
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exiſtet. </
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<
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">verùm interſectio C ìn recta FG exiſtet; </
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<
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">quoniam hæc
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communis eſt ſectio planorum AEF, BDF ſuperficiei refringenti
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rectorum. </
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<
s
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xml:space
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">ergò liquet propoſitum.</
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<
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</
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<
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<
s
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">In hanc demonſtrationem adverto; </
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<
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">1. </
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<
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">Supponit ea refractos AE,
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BD concurrere; </
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<
s
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xml:space
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">quod tamen falſum eſt, præterquam in uno vel al-
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tero caſu; </
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<
s
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xml:space
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">quum nempe planum ABF in eodem exiſtit cum ipſa
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recta FG plano; </
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<
s
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xml:space
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">vel, cùm puncta A, B ſunt in ſuperficie coni recti,
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cujus axis eſt recta FG. </
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<
s
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xml:space
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">quod ſi prior caſus ponatur, è ſuprà demon-
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ſtratis maniſeſtum eſt refractos AE, BD non in recta FG, ſed intra
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angulum FGH convenire; </
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<
s
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xml:space
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">quod è principiis noſtris elicitum illum
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ſaltem conſtringere debet, qui principia iſta admittit ac amplectitur.
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</
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<
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">2. </
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<
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xml:space
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">Hinc, illa demonſtratio ipſam ſe perimit: </
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<
s
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">Nam, quoniam (in po-
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ſito caſu) puncti F imago tam in recta AE, quàm in recta BD exiſtit,
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adeóque in harum concurſu; </
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<
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">concurſus autem iſte non eſt in recta
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FG; </
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<
s
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">ergò liquet dictam imaginem extra rectam FG verſari. </
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<
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ponit iſte diſcurſus (ut & </
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<
s
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xml:space
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">ſuppar ille jamjam prolatus) puncti F uni-
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cam oculo u@ique imaginem apparere; </
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<
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">quod πρῶγον ψεῦδ{ος} erat,
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à nobis paullo ſupra refutatum. </
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<
s
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">Enimverò diverſi oculi ſunt reipsâ
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diverſi ſpectatores. </
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<
s
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">hæc, opinor, ratiocinium illud ſatìs enervant.</
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