Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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LFK ſeſe contingunt. </
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<
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xml:space
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"> quare curvæ DIF, KFK ſe quoque
<
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VIII.</
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tingent. </
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<
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<
s
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xml:space
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cus AE rationem obtinuerint, itidem deſignari poteſt recta curvam
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DIF tangens, ex hac, & </
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<
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<
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gens iſta huic FS parallela.</
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<
s
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progenitarum aliarum curvarum _Tangentes_ determinantur.</
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<
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punctum D) recta DH poſitione data; </
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ut in hac aſſumpto quocunque puncto G, & </
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<
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">per hoc ac D projectâ
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rectâ DGE (quæ curvam AEH ſecet in E) ductâque GF ad DH
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parallelâ habeant AE, AF aſſignatam rationem X ad Y; </
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<
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tem recta ET curvam AEH; </
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<
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">recta deſignetur oportet, quæ curvam
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AGB ad G tangat.</
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<
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<
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lis, ut projectâ quâcunque rectâ DOL (quæ curvam OGO ſecet
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puncto O, rectam ET in L) ductâque OQ ad GF parallelâ, ſit
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VL. </
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<
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_perboln;_ </
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<
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continget.</
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<
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">Nam concipiatur altera curva NGN talis, ut cùm hanc ſecet recta
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arbitraria DL in N, curvam AEH in K, rectam TE in L; </
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ſtum eſt curvam NGN utramque curvam AGB, & </
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re. </
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GF parallela; </
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AP, & </
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DP; </
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ſemper cadet; </
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get; </
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get.</
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Quare cùm recta GS curvam OGO tangat; </
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quoque continget: </
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<
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AGB _Quadratrix communis_. </
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um ſimili ratione genitarum tangentibus) hoc pacto deſignatur,</
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