Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 241v
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: 0.75.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 242r); this page is its left half.
The machine reads it as
- ed
- satus erit ret dem nlegro ordiri, epe e quasi de meo quarere
- ope collationum: Esto 2240 + 16001 cujus quaeritur radiu Cubica
- quaeratur primnum, an a radix ejus esse possit binomtum, cu rationale, cum ipsa urationali
- esto illud binomium. d + er - 12. cujus cubus: d3 +3de - 12 436d e + e 1- 1728
- namfestimest confeundum hoc factitium eum dato; haberi solutionem.
- va5
- Generaliter: ad + e tab, multiplicatum cubice dat: ad3 +Bad C ab + 3adeab + etab
- sive ad + 3ade Vab + 3adeab + Cz ab t ab. sive + a d + 3ae sab
- p
- + 3ad eb + ac b
- Nam radix ex ab est + ab. ) Hoc productum conferamus cum data quantitate binomia
- Hoc confera ex rationali etradice quadrata composita at +m an necesse est
- esse b incognitam pn. datae, itemque +3a de
- +a cH H ma ac denique ad’thadem
- aequari ael. Ex ag erit multiplicata per d, erit d dmaden itemque
- C.
- 3ge
- exaeq O d. a1 l- 39deM, Ergo a el - 3 dn e dma
- 3du
- d mao + aetid et ex aeque fit. de a ade
- 3are
- Ergo maed fde d +9 aden a el. Aa rectius facilisque sic ex aeu atione
- habebimus vatorem ipsius d, qui est d mat taen inserendo in aequatione C fiest:
- enque d ale snmae aetuy
- dma idae tnmat aen at a e
- o
- 19n
- ma + a en
- ma frma’en +aen
- quem valorem conferendo cum superiore ipsius d xatore, patet fieri
- cubum ma aen, multiplicatum per a aequalem quadrato ab
- a ate-In mau
- extrahi possit sive multo magis si ex quadrato extrahi potest cubica dinensones
- deprimentur). Vderu compendiit opus essante collationem, ne ad calculus Bam
- probixos assurgamus, et primum quadrabimus ubrumque e nominibus cubi factitu
- fiet. dd gad Sed rans video errorem calculi a me commissum ponfendo
- alicubi a pro d. Resuntis ergrs collationibus aequatia f D fiet: 3adetqena
- et aequati Ofier: a d + 3den p al, Mutticlicando D per d, fiet:
- a d mad + aend ve ad mad+ e nd, quem nalorem inserendo inaeq. 0
- 3at
- c= 3a
- fer: mad + end +3d eat haden al
- amad + end +gaden ppatl
- 1 t
- et du
- 3al
- nmae f en 9a en
- at dem dps, na 3 + deBquarum duarum aequ atdonum collatione
- 3ate
- invendi t et ipssa de. sed num ond commpendum accedereote:
- depermaquadnlim ade + 6 d cb + 9a26
- ad
- = gaed eb +6ad E2b de582
- in et
- cubica 3
- cujus radix(+) a (V 4B
- eba
- E quod aequabitura-madn
- see multigeratis omnibus perde
- riliater () ms d) (+)a 3t (+) raden et tus (+ ad (4) daen e (3)..
- ejas is
- d-
- ergo prd 4)a de substituendo e batorem (+) a i(o)) haden fiet:
- dad
- d
- a (7) aden d (3) i Ergo pest) daen, substituendo ejus
- valorem (4) a l (+) ad ex aequatione O. fier:
- () a d (+) ael p7 3d 5(3). . p. sive C4) at
- in X 1 B ab ain d _r a po Aliuneoi
- A
- tiletu cerim e pori e
- 1
- ma en ac
- t
- ha
- oetgien
- binonisi factiti,
- et expricando F per
- oe
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 241v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0482?run=74