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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 143r, page id 00068201:0285
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 142v); this page is its right half.
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# Lines: 57 recognised, mean confidence 0.80
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+ PV xaqV + aer
b y +ac y + ad
+ pyE + aqy taer V
+ b. + bp . .. ebaque..  + bary
+ac .. + ac p... tacag.. +ac ar y
+ad.. + aedp.. + a daq. +a dar
F - P. ut tollatur terminus secundus,
et ar - paq + ac P +adF. adeoque d p - a r = ac p + aq B, ut tollatur terimipatus
et porro ut tollatur terminus sextus, fiet: ac r p, + a raq + acpaq = aq paq
et fiet Cp
ac ar
=paq
aq Y - aqP H 4
ar = aqp
ergo d e - r. et bp - p.
unde patet olegans thecrema si aequatio
runder
ar aq ubica multiplicetur pi aliam ejus detepto pr daetu
dq
7
literarum signorum contrariorum,
altio dimensionum duplicatarum carens locis
imparibus.
superest ut sit a y + pY + aqY + a Y B
= P y + aq V - aer B.
16 + py 4aq y4 + ar y
p.. = p .. - paq ... - par Y
+ aq .... + paq... + aq.. = aquY Y
laq
. .
-ar -arp. araq. - ai
X -2arpV
+ aqu
X -ar
sive - + aqp + p 17 - 8 a7
et fauendo BH 3b. eta qu 3l2-aq etarB - agb
4, Y 1b2 - aque, 9b + 27b ⊓ - 8b +8a Zb - 8at
+
Si faciamus 2aq = p B 0. sut pr p, ag. fiei 9b  66 = 2 a2
4
a qu)-
res
sems se it quadeati quadratum a semisse secundi vebet aequari quarto, fii:
+ aq +  ei = rar Y (+ a qu
quod est absurdum
+2
P2..
Hinc si sit Nota si supra aequationem ac arpi a raque + ac paqu -aqpaq
divisissemus per c - g. habuissemus: rp 4F et fuisset de, 4 t.
=pY + ac Y + aqp A.
aiquatio ergo y +pY + aq) + a q  plana, altcanum folet: ut et altera
y
+ py + aqY +aqp B
+ ac. A aC 0
+ p y5 +a Y + aqu Y3
=P -pr. m. - paqu ... = app Y
tac m. + pac