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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 321v, page id 00068196:0638
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si comparationem seque praecedentis pagines sgemuus in dvas, iabebum egaequationes et
comparatatias a undecim
12 I mm +6. 112. us Inmm 47 : In qq -lad ps+ 11E af (m + a3g = e l = 10 m rua
+123r afnm l
4. 112. nl mm - 2ap4 + 2. 12. 123 af m 7 -0
4 112. 123)n mm
sueaxes
113: M L imt2oa M +1t aamm
1237 30 M  + 125] 2. 30 31 an + 13. 31 aa mm
G. 11. 125. 10. 30m + 6. 1. 113. 10. 31 am +6. 1 15, 11. XIaa tm
11. 30aM
=10. 30 20 M 91. b. 10. 20. 21 are 20. 3021 aa mm
qm
+10. 31. 20 am = 10.31. 2V0. 2 aanm
=11.30 20 ap3 =1130 2 20. 4 aamm - 11. 3021am
11. 31. 20 aamm - 11. 2 1. 2. 20. 22m = 1. 31. 21 a
= 2.40. 41 a M= 2.
H
 12nsan A tm vaamim
4. 1. 117 quan 3 4 4 1dl125. Gr aamm
-2.20. ∞ a nd - 2. 2041 namm  2. 2022 am
= n 2i 4o aamm 2 _. H Bm - 21. +2a
40 aamm 21 am  42 aY
++ ea 1210 afrum
+ 112. 10 afrmm + 115. Ham
+ 125. 30atmn + 123. 31 aM
+ 2. V2. 123 afm + ag
= 4. 12.123 10am + 4. 12. 123 M aamm.
+ 4. 112. 123. 30 am + 4. 112. 1 3. 31aamni
= 2. 20.40 a m - 2 20. Maamm - 2. 20. 42 am
= 2. 21., 40aa mm - 2. 21. 41 a m = 21. 42a
+ 2. 112. 123afM
n∞ 30m t31a
9= 20mrLa
ap=40mm+ qlam + qraa
ln - 20 homm. L. 10. 31 am L I1. 31aa
H1. 30am
49 = 20. mm + 2. 20 2 an + 21 va
Ex posteriore 42 =0 40 = 2. 13. 123.10 + 2. 112. 1333.30, :20 41 = 112. 129f: 21a
et 2. 112.123. 11. 20. 21 a+ 2. 112. 125231. 20. 21 -20. 20. 112. 12, f - 21. 2. 112. 12310a -21.2. 112. 123230a = 0
seu 2. 112. 11. 20. 21a =2. 112:10. 25a = 20.20f =0 quae aequatio superest praestanda
Ex priore C1. 3= 9: 2ea seu 31 = 9: 110 21 a (fit 10(9: 1. 2(a) 27 + 11, 30. 224 2. (9: 21 a) 20. 21 (B 115. 11 + 12359: 11 2a
unde extermino penultimo
seu 10. 219 + 11. 30. 2  a + 2t 20. 2, 11. 20. 219 =, 15. 112 2C a + (239 se 30 = 1+ 2t a + 123 9. 10 219. 2. 1120,
2. 125: 31. 20 21a = 2. 123. 30. 21 a
erit
11. 214 a
30. utd n 1o isi aal as aast e.i deriag e pluti vontar BI IuE. 1. 20 2ag
+
 129 ) 1g 2 4 (12 325 1o a de 4. 123 . 125. 11. 20 21 gg + 125. 10lig +4. 125. 10 4. M 20 2t 1 4. 125. 1. 6 1 99
4ut)
L
d= 4. 12 123)
112t 16. 2 ilaa + (4123 2 ). 2 aa +
A. 15 123
)125gg - (427 a. 3
eams
2a. 123
(+. 13 20 )4. tes 11. 20. 2199.
112420 14. 120 2199
e=1122 10. 20,., 129 430+ 6. ME nSta ro 1 - 2H. 125
30 aequando inter se fit explicando 40, fiet 1. 16. 20 + 125. 30.20+ 6. 12. 125. 10. 30. 2- 1090.28 =0 fa 30=
6. 122. rimo: 30 - 4 t.  40= 21 2 125, 10+
2. 125
cliram aequando prioni fiet
11. 21 4. 4. 1125 135.10-11. 214 112. 10202 = (11. 21 a  +1239-10.259 -2. 11. 20. 219) (123+ 20- 4. 12. 115)30 + (1. Ha + ete) (6,. 112. 123. 10, 25. 8 12 13510- 1. 25)
90 2 4. 112, 123. 10 112. 10. 207:, +1231 28. 30- 4. 12. 1258 30 + 6. 112. 123. 10. 20- 81127. 125. 18- 10. 20
ex
quem
quos duos vilores ipsi
et fiet 30 = 1. 2s. et C + (11= 2t a + etC) (8. 112. 125). 10 + 10. 20+ - 6. 12. 125. 10. 28),:, (1257. 20 - 4. 15. 123) (Et 
quem aequando cum primo, fiet  te t (4 1. 2 a (11. 25 etc) L Maa (11 2( a Fetc) (8. 11 2. 123. 10 + Ctc) = (123. 20. T ME. n) ( (la teli)
sen distinctiu Ha (a. H 2HC1ta 1 N 4. 112. 123. 15, 11. 2 a - 11. 10. 15,20. 21+ 11. 21a (1L 2ia + 259- 10. 25g - 2. 11 20. 219) (8. 112. 125 , 1041028
123 10.107
(123. 20 - 4. 112. 1235) (2) (1A. 2( a + et) seu (t112: 10 20 - 4. 112. 123,18) 1. 2 Ea H(123420- 9. 12 n3)2) (5t na + 123 9- v. 2i9. 2. 11 2C. sq
iplim explicemus 40, 40, 41, 31., unde omnia ter
det 11. 20. 2Baa; ita tamen ut in 40 omittatur 2o in 41, va, in f31, 1. 2 a et fiet HE WtiMo. ept a L L. LC 2 30a
t tertius. in secundo (ut hauc prius nggrediamur) 
2 1E . o . 10 n a F2. 1 Si o. E1 3oagy +B. 13. if 10 20 1a_G + 6 112 15 p1 20 2  = 2. b 1 20. v 3 = 10. 20 2 ugg - (. 28 21.30 9 1 B. 1d alf
L 6. 112, 125,10.20 -8. 1121. 133.10- 10,
supersunt tarmini secund
puy. 3
123Cn mm