Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 9r
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: 0.84.
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. 10v); this page is its right half.
The machine reads it as
- X + iBx + bx _ -
- X + dX + ab -
- ay r0
- Satet op hasduas aequationes facile
- esse resolubiles, sed jam alias
- ex ipsis faciamus: componendo fiet:
- Ergo X + bB y
- Ergo V ⊓ X +d X + ab
- Ergo Xp, X + dX
- Ergo X Y) a - d
- multiplicemus quamlibet ex ipsis per arbitraliam, fiet.
- B X + 2 B bx + b B - y β 0
- VX + VdX +Vab - Vay.
- Conjungendo fiet aequatio talis.
- c
- = V + 2βb X - 7 a ys.
- + Vd
- )+Vab
- Esto jam aequatio data huic factitiae similis:
- Y + MX + n X + py + ql 10.
- conferendossheminos terminis respondentes quaeratur valor ipsarum.
- (3. Y. b. d. a. ante on
- Na e P. Ergo
- N m. Ergo
- P
- 3)
- p
- m
- Ergi
- am
- D+
- l-mp
- + dl-dm p C
- sive
- ent
- dm dl ut
- b Restat ultima aequatio
- sed quae exitum universalem nega
- quia b assurgit ad quadratum
- Obiter annoto cum no
- non nisi semel duae aequationes conjunguntur
- sufficere unam multiplii, et artitrariam qua altera multiplicatur
- superfluam esse, ut hoc loco patet, Rati est quia duae arbitraariae
- tractari possunt instar ductum numerorum ac proinde intelligi possunt
- se metiri, ponendo ergo Vp 55. p
- Patet totam aequationem
- dividi posse per β3. et solam ex arbitr arii usauz. Verte,
- b - ut
- 1- m
Cite
Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 9r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0017?run=73