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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 90v, page id 00068200:0182
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Datis quadrato AD recta.
problema papui a Cartesio relatum:
nlinea BN podicere latus AC usquad E, ita ut 2F, duca ab E versus H, sit aequals
e
 ipsi NB
si
103
ri
H - HM - a. B
AB _A sa +HB
Ergo H 
a
HA HA + HB
positoque HL = X et HA. Z fiet
H
sed quia AB semper constans vocetur b.
id
fiet LM = a
SHA   V
E
M W ML He HE a
b2 11A= b0
 HB
sive y2Z + y 26 = a6
a
que
v
Ergo LM HA+ ab
V positaque a Z= rb
a
2+ 62
fiet y rb + 3b = ab7 seu yr + yb2 = a b. seu yr + yb = ab
An ex pus +Sb faciemus Y  u r, et Z rb, et y= ta,
n
fiet: rbta + tab = ab sive r+ + +b = ab, et r +b = ab
Ergo posito r+ b = X, fiet X = aet et 4 = E)
fiet: X = C
Aliter, LM =
HL
= a
t
ab
SMa b
HL + t A sup b
ot 
HL + LA + 2HLAL
HL
 B =BB= HA. Eigd LA=
op HL + CA  2HL. Z
At eA+AL
+62
Ergo AL Et LA tiC 4 2HL3. AL + HLFV.
=HL aLLA a +2ALHa
b: Lm H at hoc = b in cusu proble
 B.
batM = PB 2A malis praeserts Ergo B bEA- LM HA. Eg
Z M =  Y AA - bY = aV s HAL ZNABEB H( +  = Hs a
TA. 2
sE. HA- 2HA, b + HAZ
tte nito
a
AH A b- 2+ Ab b
LM
HA aiseu si HA= ~
similis
et
se
HA fiet:
ebX  X ach AX a2b
+ b4 = 0
a
Haec aequatio eadem est cum ea quam Cgrresius recta va invenerati suppo
supporendo DF incognitam =X. hab AE = a. EF= C. tum go fecerirm AC- b, et EF- 1a
habit ul
M  Lak
X+ = 2b X
2a X = 2a x + a = opvel meis signis adhibilis
26
2.
 7 2rC