Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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C 2 ſecans in I, _byperbolam_ in K) & </
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ACIYA _ſectoris byperbolici_ ECK duplum.</
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- CFq. </
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CAq. </
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ECK duplum eſſe perſpicuum eſt è præcedente.</
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_Concbois_ AVV, cui occurrat YFM producta in V; </
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</
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<
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<
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_polum_ E, _communémque regulam_ RS deſcriptæ, ab E verò ducatur
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utcunque recta EYZ (lineas interſecans, ut vides) ſit etiam _byperbole_
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_œquilatera_, EKK, cujus _centrum_ C, _ſemiaxis_ CE; </
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ad AE parallelâ, connectatur CK, erit _ſpatium quadrilineum_
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AEOYZPA (rectis AE, YZ, & </
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henſum) æquale _quadruplo ſectori Hyperbolico_ ECK.</
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lè colligetur _ſpatium_ APZIC æquari _duplo ſectori hyperbolico_ ECK
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unà cum _ſectore circulari_ CEX. </
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_ſectori_ ECK, _dempto ſectore_ CEX.</
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2 CI. </
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ergò patet.</
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que EZT, ſi ponatur N = 2 triang. </
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ſpat EZT + EOYE = 2 N.</
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nem.</
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AH; </
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