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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 35r, page id 00068255:0069
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Ut additio dyprithmica generabis a me constituta est, ta
et subtractio etsi non similigener alitate, sed per gradus constitui
potest Nam ab ipso a non potest subtrahi b, quia dubium est
an a non sit 0. sed nec ab ex a bsa, aut ab cIbsa, aut apipliori
etiam dyarithmico, generaliter potest detrahi n, quia si omnes ista notae
possunt esse o. ile ept detruhi itaque per gradus est eundum,
ab 1 potest detrahi h, idem ab ipso  isa, item ab ipso isbsa, aut
ab ipso 1scIbsa, et ila porro. 
Et quidem si ex a1 subtruhas h, fit 1-h, seu 
k
si ex isa subtrahere opertent A, ese ponamus esse
Ita, quaeritur tam X quany si a sita o et h sit o fit X = 0 et y = 1
Si a sit 1 et h sit 0 fit X = 4 et y = 1
)IX
si a sit 0 et h sit 1 fit X = 1 et y =0
si a sit 1, et h sit 1 fit X = 0 et y = 1
Hinc generaliter valores notarum X et y omni generales omnibus istis casibus
convenientes sic inveniemus. sit X = M + na t ph + gat, ponamus
esse a = 0 et h =0 fit X = C = m. Ergo generaliter
evanescere oportet m, et fit X = na + ph + gah. ponamus porro a = 1
et h = 0 fit X = 1 = n. Ergo gens raliter  X = a + ph + gah. si s
a = 0 et h = 1 fiet X = q P = 1. Et generaliter X = a + h + ga h denique
sit a = 1 et h = 1 fiet X = (0 = 1+ 1 + q. Ergo q = - 2. Itaque
tandem generaliter X = a + h = 2 ah
similiter sit y = m + na + ph + gah ponamuse esse a = 0 = h fit y = 1 = m
Ergo generaliter y = 1 + na + ph + gah sin a = 1 et h = 0 fit y = 1+ n = 1. Ergo
 generaliter est 1+ ph + gah sit a = 0 et h = 1 sit y = 1+ p B = Ergo p = - 1
seu (y = 1 - h + gah sit denique a = h = 1 fiet y = 1 - 1 + 4 = 1 Ergo 4 = 1
et fiet  generaliter y = 1 - h + ah.
Itaque fiet
+∞ (Fa ubi notandum quod i jam in additione notavimus
F
1
ta
A
as
hah
esse liceqaque identicitatem sub columnis
larvatam, nam sublatis sdibus,  sedum
discriminibus, multiplicando per 2, quod est in
columna 2da  B patet assuisse 2 + a = h
atque inde factum esse 2- (2)h ( 2 ah, + a (+h (= rat), id est manere
B 2 + a = h
F
Veniamus jam ad
iIbsa manet autem X = a+h- 2ah
A
itaquein a secunda cotumma si eb ad b, addetur - h + at, quod per regulam additionis
est  ibh+ b quid debet addi ad I et per Hom abl et pro tertia columna
V
nabh tat
ta
(+gabh
ida tandem
a
+bsC
pus est regata addendo quia non
be mal 2ba + d nbh 1 bh + abt
na in siuadtam comprobatio
na
+) b ta a 4bh qabh + rb htrah
de
b1
s=lat
+abs tabh scalotu
-pbh + gabh
+Bbh
Sed hoc omuntur perplexitates, nam videtur
nihil debet esse in quarta columna quod possit esse
1. praestat ergo procedere in hoc gradu
ut in praecedente.
Ilc
rat
Ep
ab
trabeti