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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 7v, page id 00068207:0010
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Atqu ita, si b sit = 8. habentur tres solutiones in inteptis
+a
pZ = 1. evadit erum y = 7. X = 6
Zda p Z-7
top 77.
L=5.
tera sit b = 12. Z= 5. erit b - Z = 12 ,5-
b= 2bZ+ 22. 1 =
5. X = 3
I = 9
48
X =
Z2 1-
= 4 =x d divistbule f0 = 12
Item b = 12. Z = 7. erit b-Z = 12 -7 -5 = 9. Z21 = 49 = 1 = 48 dividitur
b= 2bZ +2
2
Ieru tres solutiones in integris posito b = 12
24
12
Z = 1  - - - evadit y = I1. X = 10
2da  Z = 5
otiap
1
L
T. X = 5
y = 5. Z = Z
Corollario Fm sequtur Fo si Z sit unitas, cum quo vis dato numeto b 3. 4. 5. 6. 7. et. etc.
habete folutionem integris, est enum perpetuo b = dato. y - b- 1. X = b - 2.
Coroll. 2. Cum nullo dato numero b. haberi possunt plures solutiones in
integris, quam tres, ut supta insinuatu est.
Coroll. 3. Si Otu Z= I repetiri non possit, quod dividi queat sine fractione perb.
tunc H9b. admittit tanti unam solutionem pZ =
Coroll. 4. Duo valores Z (praeter unitatem) aqua simul additi
exhibent n. datuo b. ut b = 8. erit Z = 3 et = 5.
b = 12
Unde habito uno valore Z (praeter unitatem) cujus Z= 1. dividi queat sine.
fractione perb; statim habetur alter valoi Z P detractionem.
15
Ab = 12