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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 333r, page id 00068196:0661
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Nibul sic promo dum magni, tantum nolatae quaedam, vadra furae racnerbires nd faciliores
sit  v = Sabrejus et Z= ac - Eju et sit v + Z = X
s
 XX= vV +ZZ + 2VZ sed vot Zu ab tac et
20Z = Y-cc yt + Cegy + cabe. Ergo ex  sr sit 4VVZ= abtae x
= cb yu
ergo ex 6 et 7 firt - 4cc 1t +4c e yy (+ aabe) =e
-4cb
totaciliore exemplo sit e = b fint s ut = - 3  bb + 4cb X - aax
seu qy -a 3a bb + 3a bX -  X
et CC
4cc
4cc
= 2 Sgy ax + L Xyy = F Rdo syxay
yXdys = ys abt E jydus Asa e- e quy dys
 ergo datur et syydx = = Y. 3aabb + 3abXX - X
quod si X debunsset esse affirmativa debunsset c esse imaginaria. Et
ila quadratura quaesita sallem per imaginarios obtinebitur.
seneralius v= Sab racus tc yus
hat
 Z = a l+ amu . aegu
Sit v+Z= X et XX (= ov + ZZ + 2VZ
h
(5)
et ve+ ZZ= 
et 20Z = Labtacy tacyy, alt amus-aeyus
ab Xey = XX = noq.. ab  al = aq C+ m = Y
al funus
= eryys ara grgiacgus
 aq + ry = xX = 20Z fit - ae 1    a
bess tabus + abl - raquE-m e
posset etiam fieri tam NX = B +Z et fi
quod si c20 et m -0 adeoque r= fial -ae Y -= abery + bl = X 4 - raq XX + aagu
e
Rediuchoemus
q = lab + l + 2bl fit 
v = Sab a E 5) q= Lac - 4 93 a= v + Z ef bB +  + 2vq u
 +Z2 (5)ab + a e= af  Ergo ex 4 per 6 fit 4vrZq X- 2afxx + aa H
en
tamper 1 et.
taeeyus
b- (per compend) =
fit  eegquse fici  t + gaac yy +. D a = ax+ rafxX  
a -abe 203 = abb nec sabett a be + d bb + a e - L a be
seu cyy + daa = ad  -X + + 2abXX - 2 a bb
-3 aec
=Zaa eb
seu Cyy+ saa = a L. X + 2a f XX - 3 aats b = 51 9; 2 et C- f-9,: 2
b = 5+9, 2
N B
V = Sab + = gy 2 ae- =yy X = v+ Z X = vr e+ 22 + 202
abb L (a vr 22 =)
Fraabe
tanee
NeC gy c 1 seu faciendo b+ e = f et b - e =g. ( Ex Stit
(4 aabe) bcyy
4cc y + 4 C aggy = - X + 2af XX  gg aa adeoque a yy
seu 4 yt + 4C aggy + aagg = - x + 2af XX seu 4c gy +g = X Vras -XX
itaque nihil actum est seit quia a2y = a X ras - xx - ad
Hinc discicuus saltem summari posse yax, uti summari potest X dy.
sit g = 0 prod seu b = e, prodit 2y = a X Y2a5 - xx. sed hoc aliunde
facile  sed hoc aliunde facilia, nam faccendo ZZ = ax, fiet
Dy = 2 as  (3Z4Z seu ydx = ZZ Y af-  S: 47
+c yy dx +ga dx = X + 2af. - xx ax si g = 0 fit
X = Sab + Egy + sab- =gy. Ergo XX - a 12t0
Ergo XX = 2ab +2 faabb - ec yt. quaeritur sxxdus, sed haec pendet ex spyx
sed Xy dx = X  = X 12af-XF. Ergo haec pendent ex se invicem
quaritur ergo (x S2X fraG . Xxdx seu 2X ydx  XY  X traf. x = coco
G1 si X - 7 quaeritur (22a5. 2+ dz. itaque cum B7 esq 3 9a dipendeant ex _furo Circuli
ux
curvasonica Anquod memorabile