Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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habeatur determinatus; </
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<
s
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xml:space
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">ſuccedit ut breviter etiam ipſiſſimum in ſin-
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gulo tali refracto punctum oſtendamus, ad quod illa conſiſtit. </
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<
s
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echoid-s5239
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xml:space
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jus rei gratiam hoc quaſi _Lemma_ præſternemus.</
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</
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<
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<
s
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xml:space
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">VI. </
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<
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xml:space
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">In circulo AN B, cujus centrum C, ſint Semidiametro CA
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perpendiculares NE, RF; </
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<
s
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xml:space
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lares NG, XH; </
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<
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xml:space
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">ſint autem CE, EF ipſis CG, GH proportiona-
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<
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xml:space
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les; </
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<
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">& </
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<
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">arcus NR, NX indefinitè parvi; </
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<
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xml:space
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">ſeu quaſi minimi dictâ
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conditione præditi; </
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<
s
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xml:space
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">dicimus arcum NR ad arcum NX rationem ha-
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bere conflatam è rationibus ipſarum CE ad CG, & </
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<
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xml:space
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<
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arc. </
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<
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xml:space
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<
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xml:space
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<
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<
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xml:space
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tangens circulum, ipſiſque FR, HX occurrens punctis T, V. </
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<
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itaque (propter Summam ex Hypotheſi parvitatem dictorum arcuum)
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arc NR. </
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<
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xml:space
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<
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xml:space
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xml:space
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<
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xml:space
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<
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<
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xml:space
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CN. </
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xml:space
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<
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xml:space
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<
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">GH. </
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<
s
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">quapropter erit arc NR. </
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<
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</
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<
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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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<
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= ) CE. </
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<
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<
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<
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CG + NG. </
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<
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CG x EN.)</
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<
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<
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punctis N, P, refractus N π (refringentem nempe denuò ſecans
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in π) huic autem indeſinitè vicinus (& </
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<
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radius QR S, cujus itidem refractus R σ (refringenti nempe rurſus
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occurrens in σ), priorem N π decuſſans in Z; </
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<
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ſubtenſæ NP, N π punctis G, E: </
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poni è rationibus NG ad NE, & </
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<
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<
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</
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<
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124.</
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<
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">Nam ducantur rectæ CE (hæc ipſam RS quoque ſecans in F) & </
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C G; </
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<
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<
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@@@@@r CH = CI; </
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<
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xml:space
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pendicularis ad CH; </
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<
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<
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<
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xml:space
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<
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arc XY = arc R σ adeóque arc NR ±: </
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<
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<
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xml:space
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que prætereà CG. </
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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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<
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<
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permutatim CG. </
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<
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<
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<
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<
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arc. </
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<
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<
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<
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<
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ponitur) arcuum NR, SP, π σ exiquitatem, erit arc NR. </
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<
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<
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ſubtenſa NR. </
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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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nendo, vel dividendo, tum & </
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<
s
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">conſequentes ſubduplando) arc NR.
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</
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<
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<
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">π σ/2}:</
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<
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xml:space
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<
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<
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