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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 13v, page id 00068199:0026
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110 = 11I y  B dy _ 121X + 1224 = 0 Et rursus 3007 211 y + 212 dy +2297 + 222 d7
videndur an hac ae Vicendum an haec  binae aequationes componi possint externis
2
simplicibus duarum incognitarum 30 60+ B1y C 12d, et 20 + 417 + 2 d
Et primum una facile effici potest, nempe
4105 + 1 fy + 12 fdy + 219 2 F 22gd)
20
e
fiet _ Rs-
2 V + 10om + ni my + 112m dus 4 12Em Z + 12 vnd Z 
2con 2uny 219n 221n2 1222n dz
 a  = uf- m  M n = 1F - 1113 : 21 = 24f - 12m, : 221 fit
M 11. 225 - 1 _ _ 11I. 27m = 4E= + 21. 211 - 121. 2i1M, adeoque m = 1p. 221(- 21 21 
et pari jure n = 2. 121(- 21. 111gid itaque differunt solo Nameratore siguis 11. 221- 121. 211
121. 211 = 1H1. 221 altemtrias mutatis
sed ambo ad huc semet haberi possunt, ubique et ex ultima l faciendo 2, et fiet
m = 12 2275 = 22. 212dit n = 12. 225- 22. 112d
Ergo
9
11. 22]- 21. 2118 = 12. 2225-22. 2129 et rursu -11. 128+ 21. 1118 - = 12. 127(722. 1129
122. 212 = 112. 222
112, 222 - 122. 212
112. 222 - 122. 212
1II. 221 = 121, 211 112. 222=122, 212
et mostuta 100. H. 24 = 10 fict. compendio pro datiis 11. 221 - 121. 2n = 21YI 112. 222 - 122 22 = 2212
III. 221 - 121.211
eo n 2t 2III quian est =, diferem  1121 spatesset +. 
et fiet 11. 221. 2212 f - 21. 2112212,9 = 12. 222. 2111 f - 22. 212. 21119 seu f-
21. 211, 221 = 22212. 2111
11. 221. 2212 - 12. 222, 2111
rursusque 11. 121. 2211 f = 21. 111. 22129 = 12.122. 2111f = 22. 112. 21119 seu 5 - 21. 111. 2212 - 22. 112. 2111
11. 121. 2211 - (2. 122.2111
unde (. M  21I 1of + E 2111209 = 2  21 115 - 100. 21( 29 - 200. 121. 15 + 200. 11. 219
superest 10f +20g = 100m + 200 n
seu seu 2uIoS ( - 2100. 1f  + 2111. 209 (, 1100. 219 seu F=
 2111I. 20 + 1100. 21
2100. 1-- 211110
lia methodus meloraliascheda nm compnendo, sed desollendo dus, et de
diffre
pox et  ita habebuntur duovalores horum ope inveniantur valores ip ipsam
literam absolularum Y, et Z. sed hivalores reddantur iderlici quod set su qualuor
luio revera, tribus aequo destininitiis, quia utriusque valor habet eundem denomnalorm
ec via brevissima.