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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 167v, page id 00068195:0334
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 168r); this page is its left half.
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sx
raX a as
DaX au
sepria Liby - v - Ely - l +H 1 Sray + ay + g. eti
lur A B applicata circuli quaesitis A, appurcata unt sectionis Conicae
datae. g. excessus ipsius A, super B.
Notandam autem si B est applicata circuli, b+ h, aequari ejus radio.
quod ita demonstro: ponatur V +l Z et fiet B,, 2bZ - y0 s
poncndo B r X, habebimus ab7 - Za + h F XY vel 2b3-3 b ∞ X -h  b2
Et ponendo Ct + b +Z et I Y, fier v B x 1 be vel
vel 6 Z= 2tZ F b + h  X  Vel +b +Z5
Ergo b+ h B a.
jam resumta aequatione Be A + g, quadrataque habebimus BF) A + g + 2Ag
vel B A= g r 2A9, et ordinando expereandoque
-. 
2b V + 2bl
Fit
q S ra p)a a  Y
82 +9 man ca)
1
+9, eran 2a ca, liX et
2a
1 N 2A9 vel O5 Dy
+
en
- gu
Et quadrando
ory 2077 -38 7
D
+49aga 
 san esto data aquatio cubica 
in
ap ar  a, termines
omres habens completos:, abtollatur ad quadraticam, multiplicando
per incognitam, fietque 
qua ut patet terminus ultimus deest. eritus Q5 o. et omnia per Y multiplicata.
deoque per _ 4 tum terminum habebitur g p =aY valor purus ipsius g
b erit si  P + l + a per terminum secundum
Sed inde vemueiuu
d a Tocder, quia ut termino tertio valor pujus ipsius d substitiatu
habebitur valor ipsius g bis, quod esse non debet.
Y ul pro
substituamus 9, 4+ l caeteris omnibus retentis.
Sed nec res procedet si ponatur e vatere aliquid quua habet et D nihl b habebitur
exia bis valor absolutus ipsius
Eix frd 1 9r d bBi) =   (2y) b e) ragnt rah fas trahys +a sv
y aty. 2a y-
+rat.. 1a 4 0y4 10D4 204y 207y+
r2C.
318 C
sabugetmr idu lim D.
+62
(496
+49 -+9 G, + 4g
er ninitur er l, ope termnri seaudi
se temmunus aedimus desit er semndus si pro Termino secundo sub sti tuatur
8 ejus valer n. fit ap0- n - ag
aer 0+gt
4 ap O - n. 8 - 49 in loun L sit pusito cat c4 - 38. Ergo Laca C   n B g2- a9. X 5) ar O andaliola
si abtet baninus altimus valebit Y et 29l e SI. s apD n. B = X AG et nCa B  - a 16 - g
aeim
destincto ahobus. g habebitur aeglb + B9I 4Y 3b + 8+o
no
4b