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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 198r, page id 00067993:0397
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Rato
Ratio Circuli ad quadhatum diametm est quae 1. ad med. inter 1et 3
in serie 1, 2., 18,  105, cujus serici termini siunt confinua multipli catione
98
horum: 1, 2,  it. et. Ermentod itaque Ter mini ita stant
b = 3 vel
Ergo b - 2X l
1. 35)
2. 4
1.3.5.7 CC
2. 4.6
ver l
qucone y fiet
. 3. 5. 7.9 - et a git crorb. vapa
2. 4. 6. 8
ese E = 13.3 vel 5. 7 vel 2.9
4.
b yret
3= (4- b-
Exili et Ex prine fit 2b- 2bb = 2Xa =  sit x = 21b  -la,:, ab - 2a
quem valorem ipsius x substituendo in valore ipsius C habetur reslatio inter e si
2X-
Si marimus esse x =
jam primo saltu
a)
AXHAX-
4X, 4X. 2
pro X Munetur X - 1, et fiel _ 2t a et a = in
4
L. 3.5.7.9
2.96 8
a
1. 3. 5. 7,9. 11. 13
2. 4. 6.8, 10. 12
(C) axs, Ax_ Ae 4X+ S, AXt3, 4X + 1, 1X -.
6) anta, HX+ 4X+4, AXH2, 4X, +x 2
1. 3, 5.7. 9,. 11. 13. 15. 17
_2. 4.6.8, 10. 12.19. 16
ses
b
2x-1, oIC
b- lipe
L
l = R 2 e
=
c-l
2lb - 2lc
Ergo aequatio bua ila-
procedamus jam per saltum primum
135
2. 4
2. 4. 6. 8
2
13.5, 7.9
13. 5. 7. 9. 11. 13
2. 4.6. 8. 10. 12
ytt = b. Ergo ya tila = ybsCa t olb
bua
ep y = t ela - 8
lb = yc + 2lC
1= 3lbadle C
etc =
y+ 3l-
y+2 b
Erge 
 57 9.11. 12 117
2. 4. 8. 8. 10. 12. 14. 16
erc
Ia
(1)
2.4
7. 9
6. 8
.8
11. 12
1012
11. 13
10. 12
16)
15. 17
14. 16
pergendo porroad faltum secundum fit
(a)
l. 3. 5. 7. 9
2.4. 6.8
(b = B yt 1, yu1, 9. 5, 905
2.4. 6. 8. 10 12. 4. 6 2.4. 8. 8.10,23 47. 16. 8. 201 2. 47
(b1
_(CD
1C7
15. 17 = C yr1ly- 1l 1b
14. 16
3 y- 2 (a
er = 914, y+3 = Cc
13 ergug 1   n
(6)
3+9, y+7, y+ 5, y-3
y+4, yt 2 10)
9+8, ytb, q yr
Et quia sember E de vel CC) vel  et. dirivatur ex b vel 1b), vel 6)) etc. ad numeros addendo 2, 4, 8 er
y, y-2, 9. 4, 9- b
Hinc suffecenit imdagati b, 1b), cb7 etc. Et in his ipsis rursus nemeratores fiunt ex nominaloribus
cuilibet nme addendo 1. hinc quaenendae esset lem hica pro gressionis, 5sufficit nos contentos
esse nominatoribus, et res redit ad legem hujus pregressionis y y, 9. 2 y, 9a2, 9- 46sy, yu2, 9. 4 y-0
a)
Ca)
. 4. 1.71
coefficienti respundenti
et ita porro semper duplicando numerum terminorum
sit series l, n, n, p. fit i = gat 2 = y. 4, 9-6 P = 9 - _, y a10, 9. 12, 9- 14 et ita porro
sed sic non osequinur finem, quid si adhibeamus Logarithinos logl = saq log. m - f sdu + sdq etc. sed nec
hoc prodent. Sic potius B = fento ex in formatur ex l, cuibbes n meoum addendo et  ex m, et P ex n, etc
Enilibet terminorum, in l, vel m, vel n, etc detrahendo 2, velq vel 8, eta. Relatro scil generalis quaerenda esset
inper 3- 2 et y,  - 4, 9- 6 et y, y. 2) Inter y-8, y. 10, y- 12, 9- 19,  et 9, G-2, y- 4, y-6,) Et ila porro
Est leo cenerolis sed non apjaret quomodo aqultionen revocari ad aequadem possit