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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 71v, page id 00068197:0142
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=142
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ax sit quadratum a hor+ at et aag,: ov+rrv+at
V-b, B(W+ WVtat) = hov+ at v + aaget sov +WV+ at) Vab, hurtasvtaag- Crvervtat) sab = 0. 8
pro O
po 6
pro 5
pro 8
X C, ( (notrrrat) = trp L afvtaaqu + Covtrvgat) Hac, huo tafvt aage- (rverrtat) hac = D. 9
b ve abv+ n a 
av + aftriabus + aaue +atsa exprimatur brevius per
itea triab
h+ fab = l at + r tab =an
h- Yab = 2 af = Y vac = aM
ju
h+ Hac = N at + rtac = K
h- Hac =p af-r tac = 
no Lim n
tab ponantur D
por
 ag+trab = an
ag = +iab = aV
2
ag + t tac = 
ag - t ac = 5
sV7 = O:, h+ tab
h+ Vac
compendio sit s = v +  et I = v +a ,
h. tab
b
h+ Yab
37 = Qin h- vac
jam coincidentientur Ne. d; et 
h- +ab
57
h+ Vab
Ciuq
3. + ast WB + aaV v
v tamv + aan _= hi
esunt  + ama (nm - 4ln) 
ep
Radices ipsius va
hatabet v, tam + at (mm -4 la)- 
Radices ipsin B+ aq  a 1 (94- 4p5) = 3
ha vac  v + 29 + a NC 99 - ap5) - 7
V V + axvo + aar 
+ac vV + acu apx + aco daV  + a8 vo + as axv + ax aan
Ex V fit corpF = 8VEa Ex v fit 2IY + CoM pN ). 2p  + 8K, lA Ex ac 2lu+ ) cop A= p k1B 1
Ex 1 eit 8L YPH Cd: ~ IA, quod substifiludo in 2 fit ElYa t coM, (pe av(A) = 2R ac e ( + V BHTK cd, (1X unde sit
Cd (5) Lla CYN- A ∞ A:  HC B VK - a ) et  vaborem e ex 4 substituendo in ae9. 3. fit
x 2A+Nco, DN  = iX vea + ippETCd. 1 Unde habebimu novum ipsius cd valorem
cd =) 2X (nM = KI): N (vE- d~ 3. quos duos valores,
6 aequando fiet: u (VH- tL)) I = YK- w, nN . kl, A
seu LV∞KK + ~AA A ZLVINA   AVKMN - AV K
p Ex aminis causa valorem 5 substituamus in valore 4,  habebitur et sine co
an nk
hinti   C49 - 4p1) hh -ab
hint 8. 1d, conferiud (valori aeq. 4.
et notet iterum protire aeq. 7. si bene est calculatum. S= Y PH 2 (1N - 4 1): HA (YK - 50 n)
Erit ex 6 et 8
Y: C0 = 2(VpFDCVH -NV A) e (VH - 151) _ : 2 27 (nM -K) ATX (VK- t nA = (r pr: (27 1N
et seu 2(((Dr qu(VN = VX) : 2 (Y X (n N = KI, VK - 00 (1) = 1. 1. seu ifiet
Irrar= Laas  - 2lVHNA = A mErK Cunva-IKlVK + KlN, ut ante.
sid prostat aad examen exent per 1, tollere co ex 2 , at 3. et ila his habere 8 eoque subtilo aequationem sine
e et a