Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 7v
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The machine reads it as
- 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
Cite
Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0010?run=74