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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)
# Folio 46, page id 1032977698:0068
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46
Analysis Infinitorum:
C AP. I:
Ouin e calusnon intrequentes Polent Occur-
rere, ubi corva proprietas inter ivlas X, auCy,
licet Turdis quibusdam quantiratibus fractioni:
busque implicitas) non consistit; ledper pluri
masindererminatas, aequationesque ex illis pro-
manantes, cognita est; quae tamen omnes, si
modo vulsari tangens inquiratur, ad unicam
aequarionem reducendae sunc; hac autem metho-
dorractarae leri opera ablque reductione inten
cum produnt.
Sit in exemplum Fic. XIIT. N0. 2. C onchoss
AD F, PolO X aenorma PO descripta, cujus
applicata  D AIC: y5 intercepta A Q: X; AF
   p  39 9u2
vocetur h; item  R = 5 + r -. X sux dicatur
: t.
Emergent pronatura Conchoidis explicanda
sequentes aquationes I, r - x  h. Il, 5 f Y
X  f. III. fr BZ, ect enim O F. B: DC. r:
QK. f: DK. Z. IV, yy + ff=2Z, Ob triangi
lum XO D rectangulum in
Ex hisce jam aequationibus, absque reductio.
neulteriori, quaeritur tangens exposia Con-
choidis.
Ouare, exceptis quanticatibus dererminatis
res, supponantur reliquae, quarum magnitu.
do provoria sui ad Conchoidem potitione varie
et, pexrespectiras intinicesimas crescere, OD
et