Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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ipſam AFB) ſit perpetuo TG major quàm SG; </
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<
s
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væ AFB partem intra ipſam AEB cadere.</
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<
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</
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<
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<
s
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xml:space
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">Si fieri poteſt, cadat pars NFM; </
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<
s
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xml:space
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">ità ſcilicet ut curva AFB cur-
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vam AEB interſecet punctis M, N; </
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<
s
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xml:space
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indeterminatè ordinata EFG; </
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<
s
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xml:space
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">ſint verò lineæ LXK, RYQ tales,
<
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utductis rectis EO, FP ad ipſas ES, FT perpendicularibus, protra-
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ctâque rectâ EG, ut hæc dictas lineas LK, QR ſecet punctis X, Y;
<
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</
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<
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">ſit GX = GO, & </
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<
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<
s
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xml:space
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">Jam ex oſtenſis patet eſſe _ſpatium_
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IHKL = {HMq - INq/2} = ſpat. </
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<
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<
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<
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<
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æquari. </
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<
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<
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">&</
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<
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GF. </
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<
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hoc ubique ſimiliter contingat) ſpatium IHKL majus ſpatio IHQR; </
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quod repugnat oſtenſo. </
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<
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">itaque liquet Propoſitum.</
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<
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xml:space
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">Hinc tota AFB extra totam AEB jacet, nec illa hane uſquam inter-
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ſecat.</
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<
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<
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<
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<
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note
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ta baſis ADE; </
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<
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H, qer quod ducta ſit recta RS ad BE parallela Porrò per puncta
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R, S tranſeat altera curva (vel linea quævis) MR ASN, habens iti-
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dem axin AD, ac ita priorem curvam BAE ſecans, ut ejuſce pars
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ſuperior RKAP Sintra curvam BAE cadat, inferiores verò reliquæ
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partes RM, SN extra eandem; </
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<
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gravitatis infra punctum H, verſus baſin MN.</
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<
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um BRKAPSE deprimet verſus baſin BE, puta ut jam ſit hujus
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reſidui _Centrum gravitatis_ ad X; </
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adhuc totum MRKAPSN magis deprimet; </
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<
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infra X conſiſtet, velut ad Y. </
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<
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<
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_Diametro_ CA occurrentes punctis T, S; </
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ſint rectæ BD, EP; </
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&</
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<
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CD:</
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eſſe SA. </
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<
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</
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<
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<
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<
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AP.</
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