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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
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Analisis Infinitorum.
CAP. VII.
requationes, quae inderminaras f ee 2 ad y aur intercep-
tam communem x limitane; quae s in promeu fuerine,
etiam Cubrangentes respectirae n e l ad caidem y auE X
reterri postune, adeoque extremum per superiores calus
omnino erir dererminabile. Flerans Celeberrimi Leibnitit
exemplum, quem modo recensuimus casum, elucidabici
quod Vir erudicissimus per quancirarum disserentialium
proprietates resolvie; nosantem ex subcansentisvalore in
sinito, praecedentium in morem, deducemus; cum C ap.
Y. 5. 35. methodum huic negorio inserriencem Cacis, ni
Fallor, expedicam suppeditet.
5. 7. Sit (FIG. LXXXI. N. L.) AF CBDCE
Sicies dirimens aerem _c vitrum: BC radius
lucis in CD reAexUS, aut in C F retractus;
S aer lueis morui resistat uE r, vitrum ut S,
quaeritur punctum C, in quod incidens radius cx
puncto B ac punctum D perreflectionem, 
per retractionem, illustrans omnium Facillime,
seu ri omnium minimâ munia lxec lua peragere
Potest:
Sic cum in finem in casurefectionis D F: b,
DC: f; in catu vero retractionis F F: b, e
CF: f; AB dicatur: d, AC: X, AF: C, unde
CF: C = x; quarum b, d, c, determinatae,
f, 2, X indeterminata exictunt, item B A e
D F ipA AF normales.
Ononiam jam ex mechanicis constat, vires
requilitas inter se esse in lonsitudinum ementa-
rum ex resistentix mediorum ratione compositâ,
seu, ut rZ ad sf; vis veriu (que Tuma expo-
nCtLI