Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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M :</
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<
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<
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<
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">connectatúrque recta FY; </
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<
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">hæc curvam FBF continget.</
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<
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<
s
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xml:space
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">Nam per E ducatur recta CE ad AB (vel VD) parallela; </
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<
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piatúrque @@@ E tranſiens curva HEH talis, ut ductâ quâpiam QL
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ad DE parallelâ (curvas EBE, HEH in L, & </
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<
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">H; </
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<
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xml:space
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">rectáſque CE,
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VP in I ac Q ſecante ) ſit ſemper QH inter QI, QL eodem ordine
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media, quo PF inter PG, PE; </
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<
s
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">è præcedente jam conſtat rectam
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connexam EY curvam HEH contingere; </
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<
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">verùm curvæ HEH analoga eſt curva FBF; </
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<
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"> ergò recta FY curvam FBF
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">_a_ 7. Lect. 7.</
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continget.</
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<
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<
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<
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">Adnotetur, poſito lineam EBE rectam eſſe, quòd linea FBF
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parabolarum ſeu paraboliſormium aliqua ſit. </
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<
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xml:space
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">quare quod de his paſ-
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ſim obſervatum habetur _(_ex calculo deduc@um, & </
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<
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">inductione quâdam
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comprobatum, neſcio tamen an uſpiam Geometricè oſtenſum ) ex im-
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mensùm uberiore fonte manat, ad iunumeras aliorum generum curvas
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ſe diffundente.</
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<
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<
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">ſi TD ſit recta, síntque duæ quæ-
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dam curvæ EEE, FFF ità ad ſe relatæ, ut ductis rectis PEF ad
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poſitione datam BD parallelis, ſint ordinatæ PE ſemper ut quadrata
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ex ordinatis PF; </
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">rectæ verò ES, FT ( ex ejuſdem communis ordi-
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natæ terminatis ductæ) curvas haſce contingant; </
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<
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</
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<
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">Quòd ſi ordinatæ PE ſe habeant ut ipſarum PF cubi, erit TP = 3 SP; </
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ſi PE ſint ut quadrato quadrata ipſarum PF, erit TP = 4 SP; </
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<
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ſic eodem ad infinitum continuo tenore.</
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<
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item lineæ EBE, FBF per B tranſeuntes, ac ità relatæ, ut ductâ
<
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per D rectâ quâpiam DG, ſit ſemper DF eodem ordine media Arith-
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meticè inter DG, DE; </
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<
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ſpeciatim apertiùs atque plenius exequi: </
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perpendicularis, quam ſecet BO in S; </
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</
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in X, & </
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puncta X, Y ducantur XZ ad BS, & </
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rentes in C; </
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_bola_ LB L; </
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