Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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AN refractus. </
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<
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conſtant.</
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<
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hìc certè nil attinet commemorare) generatim & </
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<
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Problema ſolidum eſt, plureſque duabus ſolutiones admittit; </
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<
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xml:space
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facilè perſpicietur concipiendo punctum datum (puta X) in primo ca-
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ſu extra angulum AB F jacere (vel intra eundem, in ſecundo) quo po-
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ſito liquet è præcedentibus obtingere poſſe nonnunquam, ut duorum
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<
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xlink:label
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ad partes BF incidentium refractì concurrant ad X; </
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unius ad partes BE incidentis reſractum etiam per idem X tranſire
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quod cùm ſubinde, dico, contingere poſſit, indè certo conſequetur
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_Problema_ ſolidum eſſe.</
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<
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<
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">Pro cujus ſolutione, primùm adnoto vix ullum _Problema_ dari
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(præſertim è difficilioribus) quod non peculiarem lineam naturâ ſibi-
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met appropriatam habeat, cujus deſcriptione quàm expeditè conſtrua-
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tur; </
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<
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">& </
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<
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">quidem ità, ut ſimul indolem ſuam prodat ; </
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<
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inquam, & </
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neceſſarias; </
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lut ob oculos repreſentet. </
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men (alia quædam poſtmodùm exhibituri) imprimis lineam propone-
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mus hujuſce Problematis executioni peculiariter accommodatam, hoc
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modo promptè deſcribendam.</
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<
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</
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eidémque perpendicularis AB utrinque protendatur indefinitè. </
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per datum alterum punctum X protendatur XR ad AB parallela:
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</
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<
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<
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rallela. </
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<
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ipſam SU punctis H; </
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<
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bus, deſcribantur circuli ſecantes perpendicularem AB punctis K; </
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demum per X, K ductæ lineæ cum ipſis HA conveniant in N. </
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ejuſmodi quæ cunque puncta tranſibit propoſito noſtro deſerviens linea
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(AN N) quam ſuſcepimus deſcribendam; </
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<
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fringente FF interſectiones ipſiſſima ſunt incidentiæ puncta, quæ in-
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dagamus (hæ autem ad unas rectæ AB partes (veluti ad F ) aliquando
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duæ erunt; </
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<
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quandoque nulla, cùm EF ultra tangentem dictam jacet; </
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<
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ſaltem una erit; </
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