Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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ceſcit ex eo, quod earum omnium ad ſe proportiones in eodem ubique
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modo fundantur in una ratione I ad R. </
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<
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<
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gendis parco. </
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<
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<
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ceps æqualiter excedentia; </
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<
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ſit A. </
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<
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<
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<
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<
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O in ratione continua _Aritbmetica._ </
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<
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<
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diviſim A-B. </
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<
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<
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rationis converſionem B. </
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A-B. </
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<
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A-B = B-C; </
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<
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Sinus recti F α, F β, F γ æqualiter creſcant (ut nempe ſit αβ = βγ)
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dico fore Gα-Hβ&</
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IS ad FQ parallelæ patet ipſas GR, XS æquari hoc eſt fore
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Gα-Xβ = Xβ-Iγ; </
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<
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-Iγ: </
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F ζ ξ; </
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ſecans punctis G, γ; </
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<
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túrque ſubtenſæ ZG, ζ T (hæc ipſam L γ ſecans in S) Patétque jam
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rectas ZG, ζ T parallelas eſſe; </
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parallelogrammum; </
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- LG. </
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<
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æqualiter (hoc eſt ut ductis N v, Rρ, Xξ ad axem AC perpendicu-
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laribus ſit Xξ-Rρ = Rρ-Nv) & </
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conveniant punctis K, L, O; </
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ſpatium OL majus ſpatio LK, quod à rectiorum occurſibus conti-
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netur.</
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<
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punctis G, H, I; </
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culares F α, F β, F γ; </
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<
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ſunt; </
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