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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 164r, page id 00068198:0327
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120. 300 - 10. 400
per comrpendium +21.30 - 11. quo vocitur . Ergo ex aeg. 1. fint 402 = 21. 302 Lap - ga, , la p - , 302 - ag
quo vabore subsituto in aq. 3, fiet (20. 52 - 10    302
Seu 302 =
(21 - ∞1. 21) 302
2i Tap d 1 :, 20 - 10. 21
as ap= re
et 402 = 2 af  B21. 19 ag
(1) 11a f - 10 a9
vel ert erit 302 =
11. 20 - 10.21, Vap
1402 5) 21 af- 20 ag
U. 20 = 10.21, fap
21 at (- 1021 ag - 2 20a9 (+ 16. 21 29
H1. 11 ia p)
20 = 10. 21
quod satis harmonicum est
Expedivimus ergo penitus aequationes 1 et 3
(3) 20. g - 21. F 310.
Ex aep. 2. fiet 20. 31g - 1. 40g = 21. 310f - 11. n0 f, aque ad eo 410 =
109 - 11f
Hos valous abstihomus in valoribus 3B) = 140L. ibi 2oc3 o 10. 41 ((20. 2og - 2. as
iti 20. 310  - 10. 410 = (i0. 203) e  f 1120 ( 10. 20g 10 ls - 1  (10 i - 1. 20) 5
109 - uf
et 21 302 - 11. 4ot = (21. 1 ag 2tvag - 1. 2tas) tu honque
u
Ergo. tandem siat
1.20 10. 21, Fap
1 20 1021
.s16. C qu ( 10g -us) a ap n) +60  quadr (10. 21- n10) ffa
30+ (4) uf - 109
10.217 es
510. quadr (109. 115)  (2tap - m)
+601. quabr (102- y 20) ff a (5) aol
510. 69B. quadr (10.21 - 11. 20)
ubi f significat 20.300 - 10 400, et 9 significat 21. 300 - 11. 400.
Ita Et ha quiaque aequationes nihil aliud habent quod explicatione egeat
iveninus, ergo 302, 402, 410, 301, 401
et manent arbitrariae 310, 300, 400, 510, 601, 10, 11, 20, 2), secundum ommoditatem Explicande.
dei Exhis ergo habetur Vujq quaeritur jam sydx est autam ix = 5io Zdv- vd Z.
et de = - d B . (DV - 4.08) + 5a5 - 10d8 = d D (DP - 405) + (3d 3 - 20 d9) (M - 4C ∞)
DD- 40Q faciamus atq sint dae = d B = -D NaZ: _20 et ( = - d3 Vaz + adt: 20 sat
26 (B) - 409)
20+ (∞D- 404
vel do = . Atia Z F a tati dh, . 4 a eh. Et dx - si. Z 2a tdD + az latu ih + 6  ot  - a  bt 
D, 10. 601 a  - p. 510aD + 1. 510a tatu = (2. 10. 601aZ - 11 510aD) (3. 20601a7. 21. 30 aD) f 11. 11a (2 2o ber az. 21 110 21) (a 
= 21. 510 a (2. 10. bol az - 1. 51Da))
2. 2061 a7= 21. ( aD +21510atat  11. 510. 21. sionaatue
Du (220,60147- 21. 51041) = 21. 21.  uaaatus
I. hiac eih
a a 86∞s1a.  aQ. 2310a + a0 1. 3ua) Natr
r unoa + 475) A488 - 21 2. 310 3e aG
22448 +72521510 gitati
a ri  +u. sio Balo  ( 24 1. 10 + 46) 21. sio al +(5 (2 1s1o + Z6) - 21 sto (at 4 unv az ) fa  17
a _Zh, F6 - 21. 21. 510. Mvaq
Uubi sufficit Amissa parte rationali considerari iriationalem est autem ad = sid t dB +EDdz) catur it 8 = 510 (aqdG- raz 1 2)
 = 2. 10.601 0 az- 11. 5104D 8 = 2. 20. 601 aZ- 21. 510a)
Dest 2di padus et  est tertius
desimanus B 20B = -+ tiz 20a0 = -  + altue - dd aouti tadh = 40 av = 2d05 + ad h, ah. jam a C. 60) da - 2 40 va2
et fint 40. 68 x = 40 ao - 4 0v 2, vndi sit + 2d Aa s) + a chz sat +. 2 atit 2 aqu satr a2 - 40 801 da
seu 406et 1-
25 +63 sah et Y = 8 + 11. Sib sat. 40 Ddr. y- 4 +us1o at + (1. 5i02 +  s) tat
S= + 21.510 sati
22, B + 2t. scolat
(2Y +asiob ) = 2. 510 (11. 5187 Sgat  (B (1. s1o 2 47 253) - n. h0 (25  + 11. 510 8 al ) ) tat
h22. 84 - 212510 at
7((l. 310B - 2sco 2) S - 11. 21siS 27) atue H (uS -214) 503 + (5 4 - 11. 21. 510 ab) 5) sat
h2Z, 82 - 21 510 ati
 = rotah, fint 4( eo t77 ax 31 + 3o lat, 41 + 4olatu 5.50 saqe
51. 51 = 50 50at
A 405du = 30 + 3 latu
Iq 10 
R 18+  V + C0
3, 4 30 e1 +40, S1 25C = 31. 41. 3IL 31. . 504 31. 40. 51 + 31. 40 50 (n 31. 41. 51,  - 31. 91.50
a simoboreu
 4b. 10. da 436. fl. 31
S1B1 -. ∞ 30a   1a 50
n
ureoI Huvas
40 51. 5.
3 Q ugo  us
- 1141. 510 8al d2
, 6=2t quat G