Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 47r
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: 0.70.
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The machine reads it as
- +
- C + bm X3 f
- + Cn
- + du
- + eco
- 9 A
- h v2
- 2Co
- 3 Mn
- 4 mv
- p + 26) + E- p +, sep
- +n dD teld
- d
- 5+ 3E
- d- p 3 +
- E l 3-p -. 9
- +
- 7- p +
- a
- Guo Gnschlbire
- t
- ti
- X ( I +n + v.
- A
- 1 +
- 24
- I4. MN i
- 4mv in
- +nv
- fpne 29
- liem
- piy se
- Agin
- + 4 ma v.
- +n 2mn
- 2mB
- +amv n
- mn
- n
- +quid n
- Trisectio t Radicum,
- XY me rmn
- d
- bmn
- 6m V
- 612D
- ex
- 2n
- n
- C8
- 20
- X m 3mam +6m nD
- ast
- 63 3mv m
- 13mnon +Emnv
- 3muv ma
- 3mn v in
- znom
- 12mn V
- = 4mnV V
- 3nv
- v4
- Ad mux quio
- sive
- cupplendo nx
- (Em e 2mn
- v 2 mo
- n
- 2_X
- sive 2M X
- 2n
- 2
- Amnv m
- n
- 2mn
- -21
- 94
- vn
- -2n 2
- +
- s
- dumma
- X F X 4mn X = mnV X
- poba, 81 e
- nv:
- 108
- ) 45 X
- X n
- priorem
- = 24
- 2
- = 8 muv X + m
- Y X
- 2y
- set fiet:
- em
- 2n X =amuB. X - 4mn
- er
- +12mnv X 16 nin
- 2m
- +m
- 4
- 2m X + gmuv X + 2mn m
- 3
- su
- den 2u 1G- n n
- nor ∞4
- 9o
- PA +m +quen. Ego 2neuu H q +s. rect
- ix
- ergo
- c
- Possumus jan hanc aequationem quadrato, quadraticam
- rX +si
- affectam datae cuidam comparare, dividendio
- aequationem ex comparatione duorum X valorum
- factam statim abinitio in tres alias, aequando
- scilidet terminos terminis. Nam Sed et nonnihil immuta
- possumus ante comparationem, praedividendo primum
- in partes duas. nempe: qX + rX +S TnndS
- F 4S X- dmunX + mnto, dividatur in duas partes
- 26
- nempe C4 SX 1 4X sive 4 X HD; et posteriorem . DmmB X + nht r +s
- Ergo si si q At si s sigesumma rectangulorum sub singulis binis radicis partibus, ducatur in se fiet
- 16
- fiet (8) D + Emm mv EnvrB, sive CmX. (D + EmnoX B 4. Multipluetur
- 45I
- haec aequatio per quantitatem quamlibet, ut Z et latus ejus unum uni, alterum alteri
- (10
- aequationis 6 lateri ad scribatur) fiet: - 8 mnvX + In tn + V YX +
- (13)
- +62.
- 2 D
- ib
- ponnique 2 2. fiet - 2muB. X + n A Y X + s. quam rursus dividemd in duas
- (14)
- (16)
- fiet e mnv r Z. 9 m n 2 + BE S + c per supa dicta nn + mv + no rI Q
- (9)
- jam Me nv Fe = nn D. nv + 9. Ergo junctis 17 et 18. exit HB N 1 2 - mn + q. Inserantur
- 2m
- iiventi ipsarum Mx RB, me vabores, in eq. 16 fiet: mn + F - _n + q, Y p 9 quae est identica
- valores aequando fiet: +=
- 2m
- eM
- 27
- B, quos duos 19. et 20. ipsius mD
- in adeoque tern - am n + gmn - erm
- 24
- jam ex 16 erit 4 - mn, c0m an. et ex irerit amen-qua 2t Fimta. Ergo duos ipsius
- in tn valores aequando, fiet: quama ( amn -gum. quae aequatia explicando ipsam v eos - Y per 14, fiet
- +v 11
- EY (27)
- im
- nusus identica aequatio. Uta nur ergo tertio, maci ; inserendo in 16, fiet. -- + - r (ad) a
- Em A
- et sublatis fractionibus, et explicata muo redibit aequatio 16. Magna erg quaestio est, quomodo intercta
- aequatione 15 ultra iri possit. d Ab aequatione 22. abest v. itabuimus vE
- Emn
- milus ext 19 erit vF 2 = n + 4, et aequando 26 et 28. fier: 2nY - 4m n + 9mn Erm ut aute
- 4 mn
- aequando 2826. et 27. prodibit idem denius aequando 27 et 28 fies 2MY + 2nY, - 4Mn = 4 m n + qu + quon
- H 9m - amn. aequatio de a quante. Ian etiam v1) i + 4. sed mamifestum est priora semper
- reditura: videamus an non asni esse postit, quod r summum residuarum incognitarum ope ili hujus invenimus
- nempe: m+ n F 4m nt Latun sam n s jum N + In +n- 2mn + amus2
- _s
- et tetat, nt ex p stat r
- rem. Ergo.
- 4
- =8N N
- Supplementa
- -8mv
- -8nY
- en
- =AmnV H
- v
- -4muv m
- in
- =g mnv X
- 2M H
- reV
- =2 WX
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 47r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0093?run=74