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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 24v, page id 00068197:0048
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Aequando duos valores ipsius 30, et ordinando secundum 4O et 41, fiet
Compendio 720. 41. 41 + 211. 41. 40 + 202. 40 40,- 0 fet 2C
101. 40. DC
210. 41. 00
) = 4 qu (. . . . . .) - 302. 320. 4040
200. 00. 00
O1. 220. 40
200. 820 - 00. 00
et (ur 320. 41 = Y 311. 311. 40.40 + 210. 319. 00. 80, + 4. 31F. 310. 40. 1 - 4. 302. 310. 40. 40 - et. 301 920 4o
=g.302. 32040. 40) . 311.40
00 1: 2
220 = 144, (11300 + 123. 20) 8 3H1= =. 2. 123. 144. 21 (113. 00- f123. 20) 310 = = 123. 144. 21 (113, 10+1 2 3. 20)
1+311: 40
220. 4 = 
202 = 123. 123144, 21. 21 301 = 123. 123. 114. 21. 21
ergo ubi ad explicationem aequationis  venerimus
300. 60 == 123. 123, 21. 21 (111. 00 = 112. 20) - 123. 144. 21. 21 (17 00 +123. 20)
apparebet dividi omnia posse per 113.004 123.20,
et siet 3. 144. (113. 00 + 123. 20) 41 = A4. 1232 144. 214 123214424200 +4. 123. 144. 21. 40. 00.
(ACCSt. qu. +. 144 (123. 2121 (123. 141.00 +123. 113. 20= 144. 11300 = 144. 123. 20)001) 1.3. 111. 4. 10
CC3. 40 que 12. 14. 4 00 - 4. 15. 141. 14. 21. 40. 00
Pn 2. 144 (13. 10. + 123. 20) 4 =   x o v)-
Et habetur 22 =
copendi enuntiata
123. 114t (2.∞ +00) + V (4 1s etc
ubi evenescit 40 in irrationali si fiat (44- 114 =0
et evanescet 20 in irration ali si fiat 14 -12 = 0
Eodem Modo ex aq. 3. compendio enuotiata, pro; 123, 144, etc. porendo 223, 249.
2. 144. (113.00+123. 20)
223,. 244 (2. 40 +00) + V(4
. 223 etc .. .. . .)
2. 244 (213.00 + 223. 20)
ubi rursus ut evanescat 40 in irrationalifiet 244-314 20
vel ut evanescat 20 in irrationali siet 244 -212 =0
prout scilicet postremo volumus quarere 40, vel 20
nex valorum ipsius  comparationem, ne opus
sit irrationalibus sublatis id quod quaeritur, v. g. 40 (vel 26)
rursus altolli ad quadratum.
vocutum v
praestitisset fortasse ad calculi uniformitatem non ipsas Z 18, C) explicare per D, sed omnes
, O, Q, D explicare per V, ubi fiet 3 = 10V+ uh, etsi in praesenti Casu, fieri posset 10 = 1 et 11= 0
ita calculus erit paulo prolixior quam opus sit, sed major erit regularitas. Si suppleantur
mea quiae
desunt 00, 0d 80,
3d 4 11208 + 12390 = 0
114D4 1346
_) DB = 111 . eBP + 2. M. 10. 1 LV + 101. 11. 11 lih
0 = D) +
122. 2n. 203V + Z. 122. 30. 21 hH + 122.21. D1 1
+ 133. 31
133,30.30. + 2. 133-3031
141. 40. 40 ) 2.99. 70, 41
113. 10-20 7 152. 1021
113 Jars q 11.20
3 D. X0t ,(er 10 
= ∞ v+ h
. 20v + un
(2.344. 4142 + 319. 42. 44)G + (2. 344. 4. 43 + 314. 43. 44)0
31I. 44. 44 + 344. 41. 41 + 314. 41. 41
cu DB + am P Fhar
sit e + Y( e fh
sed hoc juste pro lixioras
res detenurhatur expagm.
+  9900) + 2 f99 =
2a. g2. N. 98 +344. γ1300 + (2314. 4. +525. 11. 4) 04 seu ex a4. 7 t 8 fiet t ( b. h (b - a) (H +hib. 1), g9 (g9. + h (b.c)) = h (b - c) (99 + b - c) h) f. f (5f ilb. - a) h)
Si1. 44. 44+ et
(∞8 + nD + hit tiat LLN + Chm) FThan.
m = f4 +90 hhn = p4+
velsi 1. + 16 llpr _ - alrsf. alpgg = (Hggt allrr = 45 glv. seu Alpr + Fgr = Gr Fgyp xlrr
Hinc haum A = lus
Vedd extrahibile, sead
intentionem notum, unsi fiat f Ale L(2, H- al p, 199- alq) = 2f9- 4lX cut alo, gu - plr-  (g  fiet 311. 44 
V =-mh H (= Brum - CH) sed
jam si sit Gy + CD
sequenti
= 30v+311
= 40M
G2
06+ r08
quod non potest
fet qn taic summntur novissimo tensum
non ut ante
+. 1. . 41..
1121 11. 21
148 - 14471, 00 = 17 04
4. 102. 112. 10. 20. 21. 2
4. 120. (2
seu tiet. 2L 2((2v. 1 2, 120. 104
Deu Yl2. 120. 702)
4. 102. 102. 20.
du 122 1b. 2
torter
R(4) 112. 112. 10. 11. 2021
A. 120. 102. H. 11, 20.20
4. 20n2. 10 11. l1. 20
(4. 120. 112 10. 10. 1121
4. 12. 102 11. 20. 20. 21
4. 102 112, 10. 20. 4,213
qu (N. 27 811. 20) = 112. 12- 11. 11. 20. 20 + 10. 10. 21. 21  -2. 112. 112. 10. 11. 20. 2
 vel 10. 21 - 1(. 20 = 0 Sed si hoc verum Z et V
si te pur asus set
plicatio stpit
in ratione constante, contra hypostesin
4. 150117
(A uIoZ. 11
4. 120. 120. 11. II. 10. 10
4 . 102. 102. 21. 21. 20. 28
I. 12. 112C. I1. H. 20. 2
11 112. 112. FB FD. 2. 2
2. 112. 112. 10.1. 20. 21
8. 120. 102. 10. 11. 202]
4. 120. 112. 10. I1. H. 20
8. Iv. 11. 21