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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 114v, page id 00068199:0228
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videamus an liceat pervenire ad
10 + + + ed 13 dld  = 0 10 + 1y + 12dy + (3dy = d
26Z 20Y 2Z 20+ 2y 4+ 22 dy dissen 10 + 11y12dy + 13ddy =0 si effici possit, ut 13: 1b
sit constans, solvi potust problema quia ga blud 
dx 10
sit y = pV fiit 10 + ABV +. quia ) = b sec . 12) ax ( du 10 12
pono autem du esse consrantem
eo
ex +(13 de lx ady
12. b  12 x +
12 sSndae
(13dx ddu
126 NI: 12) c
e
sit y = pV fiet 6 = 10 + 1pV - 12p de + 13p ddx lia  13 pC = P. 12p + 213 dp, b sp. no p 4 9 tip L
pono autem du esse constantem.
dy = p dp V + pdo
ddy- rip dx + v p+ pto
I1p - 12d0 + B ddx  sit = - (10). e
erit enim eodem modo se habens (5) ad p, ut 10 ad y
= 12 dp. V + 132 dp dv
+, 3 ddp. V
quod si p sit constam, oportet esse 12: 13 constantem =- (supdx
e+ autem casu et ergo tunc et 11 assupenda constans vel posius consans drvisa
er ax
isfici autem to praeliminariter unt. uut 13: 1 set constars 
Nempeta
primum assumatur B, ut fiat - 12P + 2. (3dp = BA Bb sit quod effici pb.
dy = 10 + 1y fit y = Sude, _ oax voretur compludio y = c
Bsudx
et fit dy = de seu dy-de =0 et y -e =0 m et has multiplicando per
arbilianas et addendo fit. 10 + 1y - dus
1e + Cy 45dy
file
dy de mult per
dgiria
dy:dx = xx + yy, iaa fiet ex ux + f vydy - aadu =o compondio 100 + l gy + 112dy = 0 n 100 = XX ax 12 = 
Assumatur 200 + 211 Y F 212 dy + 221 gy = 0, fiet C, 112. 500 + 112 XHy (4 H2. 212dy  112. 2E, yy =0
100, 212 C
=112. 212 dyg 121. 2129y
bial 12. 200 -103. 212 =0 fiet 112. 211I +. 112. 221 y = o seu compendio 12. 21 + 2112 G =0 undo dF12. + duMy + ur2dys -0
ande sec. +12 d(12 211) F 11242127(= H2. 2IIa = 121 212Hy, quae aequatio comparetur facto ex praecedente si
400.2112
=112. 211249
multiplicata per 400 + 4111), fit 112. 211. 400 +  2112.400y
+2112 411yy. fit A = 12) Ex yy fit 41 = - 19
Ex Ex y sit _ Ex p fit 21 = 112 d (a2. 211) = 100. 2112.: 112.400, (t per i fit 214 = 112 d 2112 - 2112.900; 411
. + 112. 21p. 4H
E + sae auq  HEd (12. 211) Sed ita revera tres literae incognilae sunt reductae ad mas nisi 400 adhibeas
112.400
110 +duy + idu + 12 dag + 13439 =0
+ d12 Ay xd 13 ddys
F) aeque ala 10r 19413Ay + 3ldy - 0 assumatia Ex riy +Xly + 27 4y +24 dy = 0. et depesse priore fit