Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 8r
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.82.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 7v); this page is its right half.
The machine reads it as
- 0.21
- no
- ubit bus
- idi possepti
- at
- pimmos ex 7 et 1 fiet: 110. 22 + W2IX + 12gI X (13 12 X a
- vere CI C
- 13. 207 713. 21 X 13. 22 X)
- Ut distincre scribamus ultimam aequationem fiei.
- si sunb duae aequationes una: 10 + 11 X + 1 X aq. X. altera 20+2IX + 22 X aequ. N.
- et constet eas habere communem radicem, Ergo factum ex ductu duarum in se
- si osint duae aequationes 20+ 21X + 22 X et 39+21 x + 32 X quarum una quaeque
- invicem habebit duas radices aequales.
- hhabeat communem radicem cum data, nec tamen seandem, eben debet factum
- ex ipsis in se invicem dividi posse per datam, seu
- videnda aequatio sper 10+ HX + H2X
- a
- 11. 1320. 202 2 110. 1021. 22. 22, 22 -10 1. 205 22. 2 n + 10113, 202 n 10 1320. 2021. d 22t 0.1 2020V
- 20
- = 10. 10. 20. 1. 22. 22. 22
- + 12. 13, 20. 20. 20. 21. 22 = 12. 12. 200.20. 22. 2 + 10. 12. 20.20. 2222. 22, L 10. 11. 20. 21. 22. 22. 22 - 14 11. 20. 20. 2225. 8
- +1B, 3. 20.20.20. 22. 22, = 10 13, 20.20.21. 22. 22 + 10. 12. 20. 20. 2222. 22 - 19. 10. 20. 22. 22. 22. 22
- 13. 22X 12. 22X + 1. 22
- (13. 22 X) + 13, eI X + 13. 20
- 1312X) = 13. 21X - 13. 20 X
- 2
- PDZLX + GX L1
- + 21 X +20
- 13.21X - 19 20
- (22X + LIX=
- +13ux
- 2.2
- BX
- 122
- 2- 13. 21
- 22
- 15)
- Naq
- + 12. 22 X
- inventar
- + 11. 22. 22 X
- 13. 20. 22.
- 27
- A2. 20. 22
- -12.21. 22.+13, 20.21
- +13. 21. 21
- - 13, 21
- Notandum non oostant
- ipsas aequationes alia
- N
- parar
- aeujo
- Karsus ex 1121 15. + 12. 292 +12. 2122X+ 12. 22. 22X (9)
- 13, 20. 21 =13, 21. 21X -13. 21. 22X 4ey.
- 0.22. 22 -11. 22. 2X n22
- +1320 22X + 13. 222
- 20. 30 +20. 31X + 20,. 32 X
- + 21. 30X + 2. 3 ∞ +21, 324
- +22. 3 X + 22. 31X3 + 22. 32X
- et fenendo baequis fiet lag 22
- Sipultima et prima conjungamus, faciendo 10l + 20 aaeyo et 13( + 22b aeg. 0 omissit etM. et habesitur qualio 1).
- nam laequ 224: 3. et laeg. = 20a: 10 ergo A aequ. 10.22. 13. 20. Undefiet: faciendo jam laeq. 20 fiet: a aeq. 10.
- et b aeq. 13. 20: 22 unde fiet: + 11. 20. 22 +12, 12. 20. 22 X
- denique si faciamus: naque
- -10, 21. 22
- =13. 20.20
- 10, 22, 22
- - 13. 20.21-
- eq
- aequ. N Quod coincidit aequatio ni (7) supra positae
- 20 fiet: V. 2027 ex. ut agteroipde si facramus
- aq 10l:∞ et B3l+ 12. 22 +22b - 13. 21 ∞g. A
- trabse
- fiet baeq. = 12. 22 - 18l, : 22 aeq. 10. 21l - 11. 20l - 10. 20. 26: 20. 20
- et fiet: ay. 13201 L12 20. 22 f 10.22 22, : 10. 21= 11 22 = 13. 20] et b aeg. 13. 1220. 21+12. 13. 202210.122. 22
- et ut + 1922 = 10. 21 l: 20 +20b aeg. V.
- -10. 12. 21. 2274 11. 1212X. 22 412. 13. 20320 + 10. 17. 21. 21811. 13,21.22 + 13. 13,. 20.21, : + 10. 21. 211122. 22. F13.2022,
- quos valores substiluendo in aequatione mediq 12l + um + 22a +21B + 20 C, aeq. N habebitur
- aequatio absolata in qua aberit X. Haec ergo ut apte ordinemus,
- fiet. ssi compendrosissime Raciamus artificium adhibeud in erit cujus ope ex
- tetai
- Plaribus literis et aequationibus unam denique elicimus novis simam in qua omnes
- literae desunt. Et hac mellado, te nd assargent vul tiri cabum quae alias gubunt
- in faciamue laey. 22
- b
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068241:0015?run=74