Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 4v
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: 0.89.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 6r); this page is its left half.
The machine reads it as
- Si vero initio radix affirmativa major minor
- negativa Manebit minor cum affirmativa per
- subtractionem augeatur minuatur negativa augeatur
- itaque si fuisset bb + lab aequ maa. e broy 3at C
- fieret.
- CC + (2) 2aC aequ. + maa
- +- l ac 22aa
- = lraa
- et tantum M p2, l+2
- oncludo ejus si sit quemadmodum si sit bbaequ. lab anaa
- b.b aequ. et b aequ. 2a +c. fieret
- CC + (2) a c aequ+ maa
- = l ac - 22 aa
- Unde (2) 2 p l.
- jam scribamus be
- fiet.
- + lraa
- et m aequ m + l2 p. 2E
- Jam scribamus b aequ 2a + a + d. et substituendo
- +bbaque 22 aa + (2) 2aa + (2) 2 a d + a a + (2) ad + dd
- lab aequ l2aa + laa + l ad
- maa aequ. maa
- Ergo si aequatio suit bb aequ lab + maa.
- omnia (cordinando siet:
- dd + (7ad + 22aa aequ. c
- + (2) 2ad + (2)2 a a
- l ad + aa
- eritque (9 + (2) 2 p l.
- e
- = l2aa
- = la a
- (2) = m aa
- seu 2
- (2)
- et 22 + (2)2 + 1 p l2 + _ + m
- supra autem
- 4)
- 2
- Nota si pa.
- erit lx
- lidetet esse tinatius.
- et m+ l2p22
- Ex his determinationibus numerus inveniri pae posse debet ae qualis
- ipsi 2.
- determinatio ucluditur in quarta.
- defermumus
- si pro 22 ex aequ. 5 subistituatur
- la mi determ. 3.
- fiet um (top ti (t 2)a a p (t E)C L+ (m)
- se
- et fiat 2t
- n+ l2
- 2 l. per et 4 et 5
- seu (4 in + (2) l2 p +2 ergo (9m +() pro quod patet.
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068235:0008?run=74