Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
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xml:space
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">qualibus ſanè, hæc generalia conſequentibus, admodum pro-
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clive foret turgidum Volumen compingere (_amico tamen morem ge-_
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_rens operâ_ dignum cenſenti) ſubtexam ad _Circuli Tangentes Secantéſq_; </
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ſpectantia nonnulla, pleraque de ſuprà poſitis emergentia.</
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xml:space
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">Eſto _cirtuli Quadrans_ ACB, quam tangant rectæ AH, BG; </
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in productis HA, AC ſumantur AK, CE ſingulæ pares _radio_ CA;
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<
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">_aſymptotis_ AC, CZ per K deſcripta ſit _Hyperbola_ KZZ; </
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_totis_ BC, BG per E _byperbola_ LEO. </
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<
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">Sumatur etiam in arcu AB
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">Fig. 167.</
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_punctum arbitrarium_ M, per quod ducantur recta CMS (tangenti
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AH occurrens in S) recta MT circulum tangens; </
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BC parallela, recta MPL ad AC parallela. </
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<
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qualis _arcui_ AB, & </
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">rectæ α γ, ξ μ π ψ rectæ α β
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perpendiculares; </
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= MP.</
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<
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<
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">adeoque _ſumma ſecantium ad_
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_arcum_ AM pertinentium, & </
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_ſpatio byperbolico_ AF ZK.</
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<
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x CS = CAq. </
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<
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<
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ctam αμ applicatarum) æquatur _ſpatio byperbolico_ AFZK.</
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