Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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R. </
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<
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<
s
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">erit quidem XP imago rectæ FP abſoluta; </
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<
s
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xml:space
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">at ejuſdem imago
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relata (puta P ρ φ ρ) ultra PFR jacet, ab illa ſenſim reclinans; </
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<
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júſque puncta quælibet ità ſignantur. </
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<
s
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xml:space
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">Ab O ducatur recta OK ut-
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cunque rectam PQ ſecans in M, & </
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<
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xml:space
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">ſit KM ipſius FM refractus,
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tum (poſito rurſus S = √ Iq - Rq) fiat PH = {Sq x PMq/lq x PFq} PM,
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& </
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<
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xml:space
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">per H ad PF parallela ducatur H φ, ipſam OMK interſecans
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ad φ; </
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<
s
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">erit punctum φ in dicta linea, punctum ſcilicet F repræſentans.
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</
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<
s
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">eodémque modo puncta quotlibet alia deprehendes.</
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<
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<
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">VIII. </
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">Similiter rectæ FG ad ipſam PQ parallelæ, vel inclinatæ
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imago relata φ α γ (in partes arcuata contrarias illis, ad quas prioris.
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</
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<
s
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">casûs imago videbatur incurvata) determinabitur. </
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<
s
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xml:space
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">rem appoſita figura
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ſatìs exprimit.</
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<
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">Hæc autem omnia de ſuprà comprobatis dilucidè conſectantur.</
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<
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">Ac ità quidem circa ſimplices planas ſuperficies refringentes
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ſeſe res habet. </
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exponatur recta FG; </
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perpendiculares, & </
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<
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<
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xml:space
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">per X, α ducatur recta X α Y, erit
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X α Y lineæ FAG imago abſoluta. </
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<
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">Ergò ejus imago ad oculum O
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relata (in hoc caſu) citra ipſam X α Y verſus ſuperficiem μν nonnihil
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incurvata diſponetur, qualem exhibet linea φαγ. </
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<
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videtur liquere, quòd recta X α Y ſit imago reſpectu oculiin ipſa
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OB à B infinitè ſemoti. </
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modum. </
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ad ſuperſiciem refringentem μν relata (hoc eſt ad oculos in refractis
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f μ M, q ν N, a DB, reliquíſque, nec non in medio μν MN verſus
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O protenſo, ſitos) juxta proximè commonſtrata delineabilis. </
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hujus ipſius _fag_ velut in medio MN μν verſus A protenſo poſitæ, ex
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refractione ad ſuperficiem MN emergens, & </
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conſtruatur imago φαγ (itidem ad modum nuperrimè præſcriptum)
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hæc rectam FAG per corpus MN μν ſpectatam repræſentabit. </
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perientia teſtis advocetur, ego pluribus in re perplexiore, quàm uti-
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liore ſuperſedeo.</
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in iis palàm eſt imagines abſolutas ac relatas omnino ſibi coincidere;
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