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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 108v, page id 00067993:0216
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TL, AT ax BZ
aqp 1. nilin AFCA
ALF 1. 2
qu’a gaX 1 ax 4.
sivtb 
ni 49ae B
x 2aX + 9XB y hyc pat fa set p L. Brax fax
e tp 1ax +4 1
ax  + X F BB, et ax
nera da a + a x  a fax
 iseu AT 3 AB
sn enculo Ellipsi et Hyperbolu A4 es
. Eyo AE Ad. a ta2
3 +b, ut ctutus rectum est ad BC
rax +a  Z eq aex
Z cur arto
raz + 4 pq. et Xp 292
 a) + 2Z
ca +a r H2
193  a hopari et et
2 + 32 + +. Z + gu 2 etL sX.  senspatium A ATCA eris
AFCA 2 4, ; 2.
 2 o  etc.
si puntur nqu
 spatio diviso per q. et
esito aquero. bic. A7,2 + 2+ Ee
BB   4. 7 X. ejus quad q f 2gX + s. addatur ad BC p rax + a 
et sputium N tinnus DBep 4 + X, y A AF, 4 a x et puto gendialiter F L aequ. Al. AY
ax ytive 44 1 8B
7+no ilic pulpua   
=AL + AF Hy,
eroputa
9+ et Triangulum CL TB qATX
arfecaterea trimu Ergo homus Ct AB CYA  CL p H
seu DELA , s Y A T.A 
9 +x + 4
eA En 14 ax H    GAY CTAB AN AT, a
cui trapezium AB DA CTDH 4 AE, Cq
nam in
+ AL + A7
 1 + 47 + ga x + ax
et pro  q u prandoci ontactit fia r2, 4 un ( a  (f jat B 2d. et
AZ fci 7L,, 947
Tuimnus. C7A, A7 
A
DA componendum est hapeziui BAC7 modo qui Elliesi et Hyperbolae sit communis
ut sallem signis differant Imogam video non id agi ut hapez jam eodet componuti
imodo sed ut sector D ADCA cope Tilinei DAC.
Triangulo BAL in _ Ellipsi addem subtrahe in Hyperbola adde Triangulum DLY habelis hianus. DAY
EAL. DAT. DCF. DAC. LCF == LAC. L CTAC. _ CTA. EBC. ABC
 EATR EAL 4G1Y  ECT+ BAL -DA7 - CTL. Elips Derp + 68L + EA r 7C7
vel explicando Ear fet: EC+ ( 89 + BD F EIF, crL 1 EL Y + orL
EAC CND EBC + ABC,. DBC L ABC. d   LACp FY AC + CL Y Ergo p, TAC + cL Y
G proens Excerpamus has quantulates E17 EIt + EIF SCTC BLF CTI. Erex, Eoc_ + aBC
_ (2 LAC ⊓ YAC A CLF.
ergo Eat- Eruti 
nys qurar
) DC+ ELY -CEL clris  EaC rLY + exC
rir. 4+ 1. H
P: seu sector ADEAH EAL + ATCA = cYL =
IBALL nilim ATCA = C Y Z calips.
quytit, GaX . ex pro  ponendo valrem, fer . +, quar 4 ga X  9 at
4 +X 3 C 
ed t iguant 141 9
DALe BA, AL., ne A L  3
L 2Y. et EA L  + 4)
qux progredimur in Hyperbota seu per quia AD minor quam g.
pro ABH t an Hyp. seu gax quaecndum seri muina majoive quam q. sed pates esse necessano
miorem, quia q1) d et AD ri gar. ergo eAt mimi quam q Hinc jam uta
X1 Dix 192.
Zrinnu E AL = (m Elliis) YCFL
1+x 1
AZB 2 ALp 23 at majis quomi se  duo Ellgsi quamdio nuonm altao quad antem
grax +qex + gaxr 24 ax + 19at
encm esur, Afx fici
dmidium
t a Hyperbota + significat +. et + fignificat -. in Ellipsi contra
qu B nagrtar
tiet YLB a4X. et CTL, 9age
EAL + _ CFLB
A7 a 
hantar
andi st anten Eat Bsq et. in A p 4. cn. H N 4 er et 2
et quia
er EAte
t1
agtar
in Hyperbola: sector ABC Ap
Trinus DAL + Tilin. ATCA 4 Friumus. CTL. S
 fdca uis
2y f gan , quax frga X g ax 1 92
dat trapezum GATC, EAt H CYL hrgo Lseet ABCAB PX EBL + C7L ⊓
et erit 8aL + CxL + trihi p 42 + rulim.  ) a sector p) 32 + 2 +   e sectori. dividatur sector
ag
per q. Erit: Sector 2 + Z +
3, + Z etc. ponendo aq H 2.
Habemus ergo seationis cniglibes centrum habentis quadraturam generalem
ABNX Y EFN3
cue modum elegantem lati
rectum independenter baliis
di tangentes eu organice