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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">III. </
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xml:space
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">_Superſiciem planam media dirimentem (aquam ſiplacet ac aërem)_
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xml:space
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">Fig. 182.</
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repræſentet recta PQ, & </
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<
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">aquæ inſit recta FP ad PQ perpen-
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dicularis. </
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<
s
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echoid-s7381
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xml:space
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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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">erit X P imago abſoluta rectæ
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FP; </
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<
s
xml:id
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xml:space
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">continet illa ſcilicet omnes locos punctorum, quæ in FP, oculo
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apparentes in ipſa FP ſito. </
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<
s
xml:id
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xml:space
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">verùm ſi ponatur oculus uſpiam extra FP,
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velut ad O, ei tota FP citra XP apparebit. </
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<
s
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">tranſeat videlicet ali-
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cujus radii FM refractus per O, & </
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<
s
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">protrahatur OM, ut occurrat ipſi
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FP in K. </
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<
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xml:space
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">eſt ergò (ſecundum præmonſtrata) punctum Kinter X, & </
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<
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P. </
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<
s
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">itidem (è prius oſtenſis) puncti F imago quæ in refracto OMK,
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ad oculum O relata, inter K, & </
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<
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">M cadit, veluti puta ad φ. </
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<
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cujuſvis alterius in ipſa FP accepti puncti, ceu R, imago (cogita ρ)
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citra rectam XP, verſus oculum, jacet. </
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<
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xml:space
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">totius itaque rectæ FP imago
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talis eſt, qualem curva linea φρ P refert. </
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<
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xml:space
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">quòd ſi P F infinitè protra-
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hatur, ejus totius imago P ρρ verſus aſymptoton OBA, ad PF paralle-
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lam, accedens excurrit.</
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<
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<
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">_Delineatur autem curva P ρ φ hoc modo._ </
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que recta OMK ſecans rectam PQ in M; </
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">& </
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<
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xml:space
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">(poſito fore S = √ Rq
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- Iq) ſit PH = {Sq x PM cub/Iq x FPq}; </
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<
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">atque per H ducatur H φ ad PR
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parallela, ipſi OK occurrens in φ; </
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<
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">erit φ in dicta linea; </
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<
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OMK ipſius M F refractus concipiatur, erit punctum φ ipſius F ima-
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go. </
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<
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">eodem modo reliqua lineæ P ρ ρ puncta deſignantur.</
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<
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">Quinetiam adſumptâ rectâ FG ad PQ parallelâ, ductâque
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GQ ad FP (vel ABO): </
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parallelâ, erit quidem recta X α Y rectæ FAG imago abſoluta;
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</
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<
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">verùm ejus imago ad oculum O relata citra rectam XY tota jacet, eám-
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que curva φαγ repræſentat, admodum jamjam præſcriptum puncta-
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tim delineabilis. </
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<
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">itaque compoſitæ lineæ PFGQ, circa axem OBA
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rotatæ, imago fornicem referet arcuatam. </
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vaſculi cylindrici aquâ repleti ſuperficiem inſpectando.</
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<
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<
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">Quòd ſirecta viſibilis FG ad PQ inclinata ſit, cum ea conve-
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niens in V; </
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ſoluta; </
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<
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ab indèreſpiciatur recta P F in aëre poſita, fiátque rurſus PF. </
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