Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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ductæ XN reflexus (puta NP) ipſi BC parallelus erit. </
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<
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xml:space
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nexis XC, XL; </
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<
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xml:space
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">quoniam CN = HL, & </
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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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<
s
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xml:space
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">anguli
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XCL, XLC pares ſunt; </
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<
s
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xml:space
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">erit XH = XN. </
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<
s
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xml:space
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">quapropter erit NP
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ad XH, vel BC parallelus: </
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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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xml:space
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<
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</
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<
s
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xml:space
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<
s
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xml:space
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">Ex hac conſtructione, cum præmiſſi lemmatis ſolutione colla-
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tâ diluceſcet hujuſmodi non ultra quatuor reflexos per idem quodcun-
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que punctum, ceu X, tranſire; </
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<
s
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xml:space
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">quorum duo ad unas axis partes inci-
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dentibus, reliqui ad alteras conveniunt. </
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<
s
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xml:space
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major ſit, quam ut ci par HL rectâ GF, Semicirculóque GEF
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intercipi poſſit; </
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<
s
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xml:space
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">quòd ad axis partes, ad quas ipſum X ponitur, om-
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nino nullus per hoc punctum reflexus meabit; </
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<
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xml:space
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tanta ſit, ut ci par una tantùm ejuſmodi recta poſſit intercipi, quòd
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unicus per ipſum X reflexus iter ſuſcipiet. </
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<
s
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xml:space
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">tales, inquam, expoſiti
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problematis determinationes hanc conſtructionem haud obſcurè ſe-
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quuntur; </
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<
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xml:space
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perſpexeris, quàm ego pluribus verbis explicâro.</
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<
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">X. </
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<
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xml:space
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">Exhinc itaque denuò rectam (ſeurectas) ſatìs definivimus, in
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qua (vel ìn quibus) puncti radiantis lmago, reſpectu visûs utcunque
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poſitione datum centrum habentis, conſiſtit. </
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<
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xml:space
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locum inveſtigandum accingemur; </
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<
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tem.</
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<
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<
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xml:space
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">Huc adnotetur imprimìs, quòd ſi duorum ad eaſdem axis par-
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tes incidentium parallelorum (NP, RS) reflexi ſint N Π, R σ;
<
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</
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<
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<
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xml:space
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">Concurrant enim dicti
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reflexi in X; </
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xml:space
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<
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">Connectatur recta R Π. </
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<
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">quoniam, è præmonitis,
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angulus NX R duplus eſt anguli arcui NR ad centrum inſiſtentis;
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ang. </
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XR Π anguli N Π R triplus. </
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NR : </
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<
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incidentiæ concursûſque punctis interceptam) majorem quadrante to-
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tius reflexi R σ. </
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<
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arc. </
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<
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ſcilicet eſt X Π &</
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<
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">igitur eſt X σ minor triplâ RX; </
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nendóque minor erit R σ quadruplâ RX: </
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