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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 137v, page id 00068201:0274
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 136r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=274
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# Lines: 99 recognised, mean confidence 0.72
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

sit sit
ba
 Sa
+
suac
sit . 1 + 4gce c1 +
Nam Ejus quad est: - c + 2 cd = d2 
Ergo cs - 1 + d eI cfd, s- vel d +c H s- 1
Haec ergo quantitas videtur  est vere iniaginaria.
(3 c + d f- 1.
+ Bc - d  =1 est quantitas realis
Notandum si cs∞1. +d multiplices per lN- 1. fier: c + d.
Ne (
Engo N
+tr  4 + (3 -r + r - q
+2 s+q r 91-1
qa N.
nne N= +39 N - 2 (9 r as
vido signu
quae conferenda cum illa paginae phaecedentus
simili facta ex M N- l ⊓ hM + al
M B N habetur: NX + h N - s - l
Ponendo scilicet l. esse quantitatem este affirmativam. et comparando:
IF t et 44-  et E N 216- 4 r  et fici: Ve +t-4
quod svedit verum est.
NEX h N + fL, s- 1.
2713
sit jam
erit N B b2s -. = ti N.
27 13
=115 1
- ld X + c0
1. abi
+aet
+co
413
17b 
s- 1
ubi comparando + l6  SI habelitur
27(3
indubie quantitas b.
Eoce quomodo quadratica aequatio ducta multiplicata
per simplicem det Cubicam? Quadraticam nunc resolvamus.
X = ceX + 25 H E 9
ab f2ah
2
e
taete
4co2
a
+alio
= al0
4coe
= at
+ r.
donamus jam cor ab s1  en R ah psI
bo.
fiet pars ex qua ex trahenda radix quadratien.
361
an
P a 12
+(b2
+ab
aeb2
12 12
92
a2
+t2I H 11
=ahi .d
34c 17
4b
quadrutum nam
ab-hlB in
13
se ducta dant:
3t12 = L ah. adeoque
exhahi poterit radia utrobique et fiet:
ae
ad
 + a r
X + e  s.1 gh Y - 1
+ ab +
hl 13
X. quadrando utrotique fiet
+ato. at. x +Blo +  e (
arti rraett (2at8
sDha +  hacor
+ 4+
124h35
ta
Hunc culculum exacti
P- ab 
+ ha.
+rah)
+haco
anco
=a3t
adtis
vel X Y