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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 79r, page id 00068198:0157
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o= non + (ans - st pus, d) a and momum 1∞(b. 1) Fa (4. pd tori dlama
honeraa nse mota, iaa fmmaue unestie orrer mogae bo tad taa i cuntajraa
explicando,
videamus an data aliqua formula ut legu +uay traa. Seddi possit divisibilis per datam
formulam simplicem velut 20y + 21a. Fiat y = 30 v + 31a. unde cogy + 1aq + 12aa
dabit 10. 30.300n + 2. 10. 30. 31 a V = 10. 31. 31 aa dividena
+ 11. 00. 30 av + 11. 00. 31 aa Eoytua seu per 20. 30v + 20. 31 a
+ 00. 21 a
= 1200.00 aa
jam 4000 + +1 av + 42aa dividendo per v + 51a, prodit 40v + 41a
4u
40v0
+40vv + 41av + 22aa 7 40v + +1a
v + sta
400v - 40. 5la
=41 aV - 41. Slaa
+ 40. G18 440. 51. 51aa
00
00.00
et in casu praesente est 51 = 20. 31 + 00. 21
+
20,30
opo
-4051a
40. 51a
et ut residuum evanescat
et 40 = 10. 38. 30 et 41 = 2. 10. 30. 31 + 11. 00.30
(- 20.30, 00. 21. 2. 18. 303]) = 20,(30,00. 21. 11.10,30)
20. 20. 30. 30. 10.31. 3] ff 20. 20.50. 39, 11. 00.31) + 2020 (31. 30, 12, 00, 00
00.00
10. 31. 31 = 1,. 00. 31 + 12. 00. 00
1t fet (f 10. 30. 30. 20. 20. 3131 (2. 10. 30. 30. 8. 20. 21. 3]+ 10 (20. 30,00. 00. 21. 21 00. 00
20. 30. 2. 10. 30. 20. 31.3]  20.30. 20. 1100.30. 31
et
C
fit 40. 51. 51 = 00. 41. 51 + 00. 00. 42 -0
00.00
et 42
ubi aequatume explicata, evanescunt 30 et 31 idia explicationis desideratae
Et sane non debui res procedere, alioqui omnes quadraturae possent
s. 10yy + 1a9 + 12aa, reduceretur
reddi ordinariae vel quasi exgr. d dx = v
noy +21 a
ad quadraturam paratulae, quod utique non licet generali via
tentetur alia ratio divisibilitatis obtinendae minus obnoxia huic objectioni
10yy + 11 ay + 12aa reduceretur ad. v +.. a
sit y= 30x +31a, ita si procederet divitio, 20y + 21 a
da Ax+qta
quod suficent nostris destinatis. logus +1ay+ 12aa, fircet
daret
+ 10. 3D. 30vP +g. 10. 30. 31 aV + 10. 31. 31aa
11. 40.30 vr + 7190. 31 av
+ 11. 130. Hav + 11. 31. 41aa
12. 40. 40 vV +, 12.40. H1 av + 12. 41.41 aa
qu. 40 vr + 2. 40. 41 av + 41. 41 aa
divid.
per
2ogaua daret
1. v +. 1a
+20. 30v +20. 31 a,:, 40v +41a
31. 40V +31.41 a
. 20. 50F20. 31a
+qu. 21 v + 21. 41 a
A V + 41 a
et dividendo 600V +6) aV +62aa per v +Sta fiet 60. 3l. 5l-0b. b1. 51 +00.0062 =
p. ubi 51 =, 20. 31 + 21. 41,: 20. 30 +40. 21. nde et 60 = 1030. 30 + 11,40. 30 + 12. . 
(428, 3(. 10. 30. 30Y2 6. l. 51 
(20. 31 11. 40. 30=
I12. 40. 007
11. 40. 843
(120.4
-2. 28. 31, 31. 1 3030) (-202031. 4. 11. 30. 20- 20. 21. 41. 4. 11.30,40
10. 29. 31. 3]. 98. 00. 11 =8029. 21. H. (1. 30∞DC= 21.21. 91. 41. 1.20. 907
2 70. 21. 3131. 1 30ZA 2. 2∞,. 20, 31. H. 12. 39 100(-2. 20. 2. 41.41, 7. 80. 0F
= 70. 20. 31. 31. 00 51. 30 (-220. 2).31. 41. 99. 00, 08 - 2. 21. 21. 474. 12. 00. 0
F20, 20. 31. 3110. 30.30 +2020. 31. 91. 11. 30 305+ 20. 20. 41. 4. 12. 30. 3
T2. 20. 2]. 31.31. 10, 0030F (Eho. 21. 3Y. H. 11. 00. 30 (42. 20. 31. 41. 41. 11. 20.00
+21. 21. 31. 31. 16. 00. 00 + 21. 21. 31.41. 11. 00.00 (F 21. 21. 41. 4112. 00.00
undi destructis destruendio fiet
00.00. 12, 20. 20. 31. 37 - 2.00,20.20. 30. 31. 4 + 12. 20. 20.30.30. 41. 4
00.00. 11. 20, 21. 3Y.31 + 300. 11.20. 21. 30, 3. 4 -11. 20. 21. 3030. 41. (1
400, 00. 10. 21. 21 31. 31 + 2.10. 2011.36.30. 31.H= pB R. 2 21. 41. H1)
+00.00. f1 1. 21. 31.41
1
0. 21. 2. 30,30. 41. 41
6
=0
unde datur Hti el, tantum ce c avendum L ne fict Il. 4 = 3d. 00
I1. 30.41
et explicata aequatio se dabit aeci. C
y= 300 + 31 a
400 ta
2
20. 31 2.90.40
20. 20.30.31
.20. 21.3)
20.21. 30.91
40. 2. 21. 41
S
61 = 2. 10. 30. 31 +11.90. 31 + 2. 12.0. 41
62 = 10. 31. 31 + 11. 31. 41 F12.4l.