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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 69, page id 1032977698:0091
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CAP. I.
Analysis Infinitorum.
53. Sicjam rectanculum O D in OF semper
aquale quadrato definitorr; exit, 27 = rr; 8 2y
+ Z a +7 0+a0= rr, (CUIWAta: 5. 5 CE6, 0= = n L
atZ7
Lyy Cx 8. 5Y, UndCk 
y; quod (iBIM
Octendit IL a COnTrarIa ipFIUS S partC CtATVEN
dum uti ab unde nOEUMI.
54. Ouod AI detmr B F semper determinata
recta raequalis, crit 2 = y =r, adcoqueo= a
at ZZ
t
Z
kyy; unde k = y; _ hinc omnigenarum
Conchoidum, pront ABD vel recta, vel cuEra
quaelibet arumta Fucxit, tansentes pronuunt.
55. PIAE Z~ -yy = rr, Cxit 20 = ay, et
ay a+22
a= Z= Lyy, eC k g e tic in cxeteris potectati.
buS; (i FUCFIEZP -yP =r P eric K yP+ 1 = 5 21+ 1. O1O-
modo durem, ubi plurr data lint puncta, tansen-
res ducendae reviant, hinc leri opera deducitur.
56. Adtangentes currarum prorehimur, cum
curra ad alias cueras variis modis reterUNtU.
SInE PIE. XV. LTCS CUIVRLCDKE, OFFHL, MINOP
ita relata, ut ducta qua cunque recta CF N adt PO-
sitione datam parallela, currasque ut vides, secanti,
sIt Semper C E ad C N, ut p ad q; dataque BC aUF
AC Tubtangenre alterutrius, quaeritur alterius tan-
ZenS. ANUMEa CD; Curra LCD portione infinire
Sima: W, duCtaque DO ip(IC N Parallela, junsantur,
NR, FL, ipA CD seue aqualeS e aequidistanTCS,
AaNEQUC CN: Z, CF: 9, FL: A, R9:0, BC, it, AC.:k, CTAE
FD: y + a, DD: Z +0.
at