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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 28v, page id 00068217:0058
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2)
256+32f +29 + h aequ. 0
.329- 32)
224 - 309 +h aequ. 0
seu h aequ 30g - 224
Ergo  f aequ. 6. et h aequ 74
1+ 17f + 2579 + i6 h aequ. 0
- 16 + 2409 + 16 h, aequ. 0
+ 16, 304 - 16, 224
+480g - 3584
7209 - 3600. aequ. 0
seu s g aequ. 5
Ergo per 4. fit f aequ. - b
per 5 fit h aequ- 74
Haec Hi valores an sine errore calculi inventi sint comprobemus:
f+9+1 aequ. 0
26 +5 + 1 aequ. 0
256 + 32f + 29 + h aequ. 0 8 +1 +17f + 257g + 16 h aequ. 0
256 - 326 + 10 - 74. aequ. 0
=192 (256 - 192
1266 -
1266 -26
1 - 17, 6 +257, 5 ∞ 16, 24 aequ. 0.
=ia2 +1285 -1184
(+1285 -11847
1286 = 1208
Atque ita inventis f.g. h. videbatuo posse pergi ad quaerendas e. 8. sed objint se
difficultas  quae nis ita pergere non sirit, scilicet inventus literarum f. g. h. valor
deber et quadrare aliis exemplis quibuscunque, et ex aliis assuntis exemplis idem
debrussetit inveniri valores ipsanm f g. h. sed hic reperio ex aliis exemplis alium
reperiri valorem verbo gratia ips ipsius, f. Nempe ex aequ
X - 1 fit aequatio 6561 + 1377f + 257gF h. aequ. 0. et ex X +1 aqu. 0. fit 14 17( 429. 169
aequando has duas aequationes fit +1327 f aequ = 6561 aqu. 0 seu faigu. - 6560 
seu f aego . d2 cum tamen supra invenerimus faequ. - 6
Itaque forte exallari necesse est aequationem ad X12
1360
X X
Arius ipso experimentum capiemus an liceat invenire f et
per compantionem:
2 aequ. (1) 3aequ. 2 aequ. (1)
4 ce. 3 aequo (1) 5aqu. 4.  ea)
5 aequ. 4.. 6 aequ. 5. aequ. 4
7 aequ. 6 a qu. 4.
A
X +aX +, a X +3 a X aXZ arur a
 
+
0 aequ. a2 x. gabX X +  X
0 agu - a p x 19 abz t ababX + X
X +a +2a a +9a nsa rba tra
0 uqu - ab x arsa b   tro  X x BabX  + X
0 aequ - a  +2sa b6 x  soab X X +3s abiX X = 10nb X
+246
Ratio progressionis
ab ab ab rat proaonis:
8. 1, 5. 6 1960 0
ab4 a64
0 (2 9
i
9 14 20
1, 7 6 14 30 20d
aedq
H-a
=ax - ∞r - 3a2X - ha 2Xt - 4a x - sd Lax. 24
+81 17 (e u1 13. 77 f aequ - 8t 81 caq
x +
+24_
2
f+9 + 1 aequ. 0.
Saequ - g - 1
=179-17
16005
A2o
Ergo rf aect = 82
4
32
64 X6
128
256 X
512 X)
1024 X
2048 X
2
729
2187
656
1969
59049
1714
409b x 53144
1s7
18)
5.
- 1394
+ 7 37
45
1o