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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 19
# Folio 30r, page id 00068016:0059
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Denique ponatur rasio ado
ratio rectarum  ad D eadem quae (3)
significet 
 Z+ V7 +9
P βZ+7y +9 aet D sit dZ+ By+t
positque numeris secundum quos multiplices
sunt Z et y rec Z et y rectangula latera nempe
esse
circa verticem, in antecedente β et V.
 consequente d et  assumtaque recta
data in antecedente g. in consequente t.
(4)
+ cq
et habebitur y aequ. s - b+
b0 -c
vel compendio y aequ. nZ + p. Quoniam
yaeq
Quoniam jam ex natura trianguliet ZV aequ. A quads Duciqu.u t
sive fier  Z- y aequ. v- X. et
quia v - X aequ. v+ X in r - X vel per aequ. 1.
quia v v+x in a. fiet v x aqu avi ex ideo
(8)
adeoque v x adeoque (per 7) et Z- y  qu. aV+ ax
et pro X y. v. ponendo vulores ex aequ.
X. y.  ponendo alores ex aequ. 1. 5. 2. tunc
loco aequationis 6 habebimus:
E aequ. +2np Z - ea
reu
+n
es
u n  Z aa +B
dir. EA
Enpreadriacar
problema itaque planum est, ac
a Bd
rrnndna et constructio em facile habetur ope circuli et rectae
solvi possit infinitis prodis infra explicater quando id possibila est, ipta es
Ostendam nunc quomodo quatuor
priora problemata in hoc unico contineantur
problemata ipsa ita habent.
jam jam si fiat β aequ. 1. et  aequ. et 4
et V et q et t aequ. 0. et d aequ. 1.
et d aequ. -1. habebimus
Z ad Z- y ut b ad C.
quod est problema primum Sin fiat
3 aequ. 1 et Y aequ. 1. et quie et
et d et g,  g, d, B aequ. 0. frer erit
Z1y ad t ut b ad c qu est sollema
secundam. Eodem
2+ y ad t ut b ad c
quod est secundum. Eodem modo si fiat..
β aequ. 1. et V aequ. 1. et gaequ=s
et S, D, aequ. 0. fit erit
niod
+y - 5 ad F ut b ad C
quod est tertium. Denique si sit β aequ. 1. et J aequ. - 1
et S aequ. 1. et  9, D, F aequ. 0. erit
temp quartum
em quartum  ex
rraa st rr toiZ
9. D: : b. C. OCp Db
C)pZ. Xp 8- y
cZ1 b7- by.
1
+bzce
+CB
be
+ ca
-b+
400
et pro v ponendo
uo iis
ad
Z1
et
v+ dv- a
25
5,20, 35,5
a + s  a + 2a9 +9
sirt 8Ba. a 8
2745
nomod
omodo ene
n
2
numeris 35
rabo
144
5
400
623
mussus tewein grahoiaben weeden
6 5. 4..3: 12
. 3. 
quod revera coincidit primo
u supra monui