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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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c44
Analisis Infinitorum.
CAP. II.
unde posicay 2d curram datam quamlibet, Cx
cerisque, excepraunica, ex arbitrio determinatis,
ultima definitione lui patetaciet currae naturam,
cujus spatium cum reliquarum omnium arcis
nunc simul addits, nunc pro varia lignorum no-
cura a se muruo sibductis; aequabie darum (p2
rium leu oinnia p e. verum; quxe hic ob tancari
applicatarum copiam arbirrio relictanr se pan
dunt; speculationes praeteribo.
20: Hoc addo: si assumta spatia quadearu.
ram admirtane, etiam quod ex iisper addicig
nem aur substractionem componitur, crit qua
drabile: porsuntque hic currilinca qualibet
quae menturam pati aliinde novimus, adtri
beri; horum durem aequationes (i ad parobo.
loidum hyperboliformiumque loca consistant.
crunt e otrines iptiusy porestates evgnitae: quod
leviter ad praecedentia accendenti ignorum esse
HCGHIE.
Coroll. Polsent hxe omnes porestatum, ac
spaciorum menlurabilium hinc oriunda diversi-
tates in ordinem reclisi, a simplicioribus ad ma-
Sis Compolita prosrediendo, ac rheoremata qua-
dameftormari, quod prorectioribus facile, in
minus exercitatorum camen commodum h0C
Generalius paulo spccimen subnecto.
ecuF.
i  
I