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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 88r, page id 00068207:0175
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=175
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Et fiet
iet
et sa
t fie
d
Sint
ergo binae aerquationes ad binas literas identificandae
20XX + 102 yy + 111yX + 110 aX + 101ay + 10a4 20
220 202
120 acXX
211
102 ff XX + 102 afgX F 102
11D afXX + 119aagX
EDH2
+ 11Oaa4X
101 aa fX +101
r10c
(9- 120aa + 102 ff + 111 af
pD= 2204a + 202ff + 21 af
210
201
Ex aequ. 2
200
0
(3
siat as = fX + ag
Bossunt abesse 111 101 100
220A_XX 4
211 201
nam inqualibet conica tolli possunt
102 ff XY titor fgX 12aage
EII afXX +2II aa9X
+210 aaaX
+20l aa FX +201 a044
Hooaana
21102f9+ 111ag + 110aa +101 a L (2) 1029g + 101ag + 100aa
in
.202f9 +211 a9+210aa+201 a5. 20299+20lag +200 aa
WWa +uoaa =vocetm am 2, 102f+111a = ap
- . per 0 = 0. A compendio
211 af + 2109a = . an 2. 202f+211a =9
 Et ob  = fiet (ant 49) = (aM+ p9) D sit q = apC
NI.) + pY
in 4. 8 pro g simplice in gg substituatur valor, fit 1 4: 8 = cd2 gam C - 102angD + 10, ag4C = 101 agp D Hooaaq
4. d
e
101 afg0D - 101 agpDD
201 479OC
vat
detur nobus valor ipsius g aequandus priori
= 201 aGpOD AaC Contrahetur Ci 202+102=3027 et ita incaetens
200 daq (C = 200 dapc
t fis (502 mg + 201 g + 100 Raq) OD = (22 mg + 20199+ 200l4) OC + O2ng +IoIgP+ 100ap)DD, Hinc novus
100 ad q  - 100 aa p DF
100 rap.)
=B. P 202 amg ( - 202 ang5 +201a99 ( - 301 agpD fo- 2odapD
ipt 102amg D - 102angDD+ oramu DC _ - 20q ango. und
Hni novus valor ipsius 9 aequandus priori fit (102m + 101 9 (aHC- an D) +500ag(.q+ BD) O = eormt 2oGHMO- qu D) tra q(OW) e
eon
lova
2oi
200 a
202l n
(102n+ 10cP) Ca C am) 4100 +q C ( pD, DD
videndum an Md = 1 et qB- pD dent   destinctiones
exaequ.L
100
ita separatur diffi
cultas. 1mo non
possunt
itunt sic
reduci
amba