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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 12
# Folio 2r, page id 00068030:0003
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visserentiae in seripsa mimeralibus consttuendae ad
instur regulae fluse in
iguris
et aequatio a - 3a + +a  N.
erit dN quaeratur d a in numeris et da. et da.. Hoc method.
sit da 
men non difficile. Silicet. a p a a + β. Ergo 2 sap a + g.
2
Ergo: 2a Y dae + β. Ergo da  2a - β.
e
eac 2a
a3 3a+
Saeta ( acatI, a +2 seu 5a + saB a+34 + 2a (ergo a - a integen
112, 3
Ergo 3 (a  Y) a + 3a + 2a. Ergo sae a +9a +7 a
3
ta 3a + 3a
2
2
Ergo a 1 65a - 94- 7 a
2
6 W
a3 3a - 9 da - 7 da. Ergo da3 p3a - 9a + 3 C (3 a -9a F 
2a-
2c
3
-7
2C
it ergo da p β. erit da 2a - β. et das 3a- 9al + β.
Hinc facite demonstratur primum si primae diffecentia ab a sint 1. tunc
serundus ab a fore 2. tertias ab a3 fore 6. guantas ab at. fore
ni fallor 24. (nempe. 1. 192. 112, 3. 12, 3, 4
6
2
24
1n (
Nam ad a p 2β -0 dd a35 696 a 6a -3β -9β +0
Ergo ddda (6β- 0-0 +0 Unde facile patet latio cur non nisi
Uud
isti numeri 1. 2. 6. 24. ec. prodeant facti scilicet naturalium in
senevicem caeteris evanescentibus. Sic quia semper aβ  0. ex hypothesi
Hinc proposita  formula: a F +Ba + ea F N. erit LN
3a -g al + B
raa b
ddN  6a = 12B dad NB 6
+ 2bB
Si intervallum B
Arithuraticae valde parvum non tentam duo ingentia commoda
+c
habibimus, unum quod omnis numerus intelligi potest cadere in hanc pro-
pissionem, alterum quod evavescent multa, ut dec fiet 3a. aofierba
imo si B tum parva est, ngligentur et differentae differentitirum
tugusti
1677