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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. VI.</
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<
s
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<
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xml:space
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">ABſolutis iis, quæ radiis accidunt ad planam ſuperficiem in-
<
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flexis (obſervatu quæ videbantur non indigna, cúmque: </
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<
s
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cipiis noſtris cohærentia; </
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<
s
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echoid-s2602
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xml:space
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">quæ denuò viam ſternebant, aut metho-
<
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dum aperiebant ſequentibus) ad curvas jam gradum promovemus;
<
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</
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<
s
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xml:space
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">circa quas equidem cogitâram communia quædam delibare; </
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<
s
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">verùm
<
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excuſſà re, tam exilem illam & </
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<
s
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xml:space
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">abſtractam deprehendo, ſatius ut
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exiſtimem actutùm ad particularia deſcendere. </
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<
s
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cipem, & </
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<
s
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xml:space
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">ad praxes Opticas longè paratiſſimam, Superficiem Sphæ-
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ricam aggrediar è veſtigio. </
s
>
<
s
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xml:space
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">pro qua tamen, ob cauſas pridem aſſigna-
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tas, circulos ſubrogabo per oculi Sphæræque centra, pérque ſingula
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radiantia puncta trajectos. </
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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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">quoad hos _Catoptrica_ primo, _D@op-_
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_trica_ poſtmodum exequemur. </
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<
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xml:space
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">Ad illa.</
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<
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</
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<
s
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xml:space
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">II. </
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<
s
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xml:space
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">Præſternemus autem _λημμdηον_ unum vel alterum; </
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<
s
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xml:space
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">hoc impri-
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mìs: </
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<
s
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">Incidenti@m circulo radiorum obliquior eſt, qui magis à centro
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<
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xml:space
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">Fig. 62.</
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diſtat; </
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<
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xml:space
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">vel qui minorem arcum (ſubſemicircularem) ſubtendit. </
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<
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licet obliquiùs incidit recta QRS, quàm recta MNP. </
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<
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xml:space
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">Nam à
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centro C ducantur CN, CP; </
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<
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">CR; </
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<
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xml:space
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">quoniam angulus
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RCS angulo NCP (hypotheſi nimirum inſiſtendo) minor eſt;
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</
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<
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xml:space
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">pater reliquos CRS, CSR reliquos CN, P, CPN (cùm junctim,
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tum ſingulum ſingulo) majores eſſe. </
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<
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xml:space
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">Cùm itaque Semidiametxi
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CR, CN, circumferentiæ perpendiculares ſint; </
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<
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">omninò liquet pro-
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poſitum.</
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<
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<
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">III. </
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<
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">Dato radio MN ad circulum incidenti congruum reflexum
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reſignare.</
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<
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</
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<
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">Fig. 63.</
note
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<
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<
s
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xml:space
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">Variis modis huc facilè peragitur; </
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<
s
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xml:space
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">quorum nunc unum adhibere,
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tunc alium ex uſu ſit. </
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<
s
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">nos unum aut alterum ex expeditoribus attinge-
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mus. </
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<
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">i. </
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<
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">Incidens MN protrahatur ut circulum denuò ſecet in P. </
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<
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</
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<
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">& </
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<
s
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">ſumatur arcus N Π = NP; </
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<
s
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">erit connexa Π NH ipſius MNP
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reflexus. </
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<
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">nam à centro C connexâ CN, manifeſtum eſt </
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