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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 25
# Folio 1v, page id 00068070:0002
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Si ergo sit du =   vdx s mxran et fiat nxtan = 2
1(2 2a v22 em n 2
amaa  et
aL
bxtac ac c
fiet ex
+ 1: 2am 1: 2a Im
oram aim Zubtaim Zb - a sm
sit jam du= dx matan, bxrac = d ex bx tac Ax S mx t an =ay fit bX + ac = V = abes . dbn , ac
L5) (abez t abn cubq  a E m
seu V
c em. bn  aebn aem poyt in,  p : , 1. d ratm
Ergo dx Imaran, bxtac =
2m 2 b7Z aam VC A Z.braim Baboam Zebratm Zsb asm
Ubi rursus nova resolutio instituenda est.
.Et quidem ex 6 et 15 in catu aequ
sit _ eesita ag. 2. sit: A  de Atox vac, mxran = Eaa, en bn, ae bnndem q q uy seu dos bprac, naran = 4G2
Quad et sie colligemus: Resolvamus ergo .
orroli c + h l-
fot (3) ocontil
id
cimntin coth
 et s- k 
(3 lb2 aam
hoc modo
LElloco-hh) caur
. 2 3) cocontia scototiti, catr (3). -.  an (et ers. B, oth
ta ico  ed +h
Arfilo scoonth. coth
cothC
1 (3)- 122h
poptu qu a enbri Lelicam
   cotm ast  sadtii hi
cument, utt cort ausit hgu p 1 12) 1.2h
E. h. Coth (2s coco-tih (.) corh, coco-hh
Dcocontihi contr (e) cocontih Ergo L 9 = 1: 2t  1
 et cent
Bel comath, edah () conti er aliti P seoronth
comprrbatio: = 2coco + 2hh +  +CoC rEdh + hh + co  + 2coh + hh = + 4hh
2: 4tik + 1: atit 
ecentin (Tothycdconhh  Pconh, edctih
scoth, a. h Etera, cotrntibi
(2)Coth ocotit  corho cot B) coth
L . Ergo
=1:dk- 1.  p ath 1: 2h
1corh () corh
Eoh consi eo conhit BCcoth  et coldoht soah coth
H 1.B(3 1: 4th, 1.2h
H Hib) 2 1. t X
ath ck
oi scorh, cocon hit p. t 1. 2b
picatui ito
1. abh et li8h
Liscoth Ltcoh 
nto  voit ibti
tui
co-h ro
(t conh 13) conh
Ergo per a49. 10, 15, 16
=1. 8l3 Ergotandem ex 10 per  15, 16, 17 fiet
r: 16t -. d. 1hik 2. 32k
Dcoch 13tcogh
Pcorh coh Coth cont
corh3 conh.  Lt . h 13s coad
1.81 
D) oth ubi quod examinis loco est
1bhd 1. 81
cont. Ch
h et h se habent eodem
(20)  ponatur Jico Eeg. 19, Zso toroco, et a sin foce h.
Atque ita redimus ad colculum superiorem.
superest jam ut summemus Cso coco deo cocodeo, cocoduo cocoduo coco deo corodio
 Co+h
cont scoth jescont 13 corh 13tco-
 sit conh = Z fin eocodeo  (2 - 2lh + hl. 1q =) Zt ehiter tit d2 Ego Scodo deo  L corti - ih cot  +. b S
seu scocoded =
E- 2t E + hitom Ego f ouo =  rt - 2hstes - th, e faoto = v.h. 4. 1.  .  
=h (23)
4. sito-oth +hor a h sto
oth coth ideo coti
-hh
coth 2cot cont 3
conh cohr 2 t
2 cos + 2h coach + hh sunt
-3: 1bh3 oth - M N- t
1og. at
hi o revet
Em oenti 4 Ca b tit
+ c- h + ah San B 
+ Sut -
Qa quad abera deniet a quad atura Hyp.  si a sit quantitas ealis, vel
Snxran, fin festodio
quad. Circuli, si h sit quantitas imaginaria
jam co ponamus Zsb et pro h, ponamus am, et pro Z. a pondamu
oio ara
fint in  
cotti b
= (dx Sbxtac, nX ran
alculuu
conui cocott Co F reoh X = rcob3 .h
quod comprobemus: (co k 3co h t 3bi  9d s co h co + h  phcoco H 2td 4h o ++ humi  8h
112t Ergo
Similiter ergo
Ergo S corodio
a
ocontin Q co+h
.3  , c B) + oCh) = 
2=sti e H  coim