Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 66r
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: 0.69.
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. 67v); this page is its right half.
The machine reads it as
- schediasmadeR adiilus Cubdis Octitr. 674
- e
- a
- ine
- Z11 q ++ Z1 p0
- fict: Z (12)-. 2
- Sunta ergo aequatione: Z + 2 pZ - aZ - 2 aY f0. Ponaimus scilicet ut numeros literis velus in eparenthesi
- g12.
- per2.
- adscriptos, ut intelli garuu, aequivalere, et P 1 2, et a 1. et arp, a, quisiesset (2) B (d) aqZ (2) ar
- Poronis
- nicties
- X, 3129 Z + 49
- a
- Et divisis omnibus per a fier:
- 84
- Aequatio puram hhabens potestatem
- summam:
- XZ f
- po
- 3
- sq. rep pa por dpeunt
- a3
- a
- R A 8qu
- 2pZ H
- - an Z 7.
- - 2ar
- 24
- X3
- e
- Sed antequam pergam, rectius, arbitor caleuli facilioris reddent causa, aliud
- is f eligi exemplum tractabilius. Nimirum:
- +1 27, 2 Z13⊓0 fiet . Z + +Z ∞ 2, Z+37
- 1)
- Ulnde um facemus. 23 46fZ + n ag Z + 6aeh p0.
- ponendo fr6. A9B1. B 6, perinde ac si scriptum esset.
- 43Z + (6) fgN + (1) agZ + (6) arh 70, literas ergo modo un istas, f. Et emodo tnitati,
- 18, ad aequationis totius comprobandam veritatem, modo, literis numeris adscriptis ad examinandam
- 2ibo
- 2
- 144 veritatem quantitaris cujus libet aequationem componentis modocuilibet alteri quantitati,
- 36 applicandis ad alia quoque exempla faciendae causa, aequivalere intelligemus. t
- 216 ponamus Z X a- 6f. ascribendo literam, l. numeris essentialibus, qui scilicet a
- 88 potestatum ipsamm natura et exponentibus oriuntur: erit X p, 3l 29Z t 1 9 dnet g as
- 76
- 2
- 2
- 65
- 2
- 11a97
- N.
- +6aeh p
- . a X (- 3a f X) idat x 216fd
- Aequationis ergu (6)
- huju otae possumus
- 54
- 2quo
- + 3a f s.
- d
- 314 18
- 791
- EL2 + 42
- -
- + 4 0
- vel dividendo omnia per minre -6 + 4 p.2
- =ublis _ + 2Hs3 po tir X X +
- 3l
- ..- + 1243.. -664(9
- 29
- = +6ah,
- X 3645 X s+ 26f
- 244 ola
- +11 Aga.. a - 18 asg
- J0
- 3la
- 3a
- Huic aequationi jam similem per omnia et aequalem aliam ex ipsis radicibus excitemus, nimirum, ob aeq. 5. fint:
- esse securi.
- 06
- (+6~R
- X +um X - 2n Xarmtan o. Unde: X + 1HX - qma Xa Em+ In 10, undete
- unde den rursus X (+ Em X) - AMAX +8nin
- 188. Aeq (2)
- el
- -2n.
- in.. -ane .. omn p0. sive Aeq (7.)
- 2m..) +omn..
- = 8 m
- de ni Cs
- X A gn
- 0 Conferendo Jam aequationem 7 mam et btam
- +21 an
- -s2
- 4
- ramn qui-qn
- fient aequationes collatitiae duae, et quidem ex cillations terminorum penultimiui, fier: (8) H T3sp L 1ag
- fiet dmn m
- 20
- en -smd
- min -ema
- acu il neso. sEasg rbaesius ara. t quibus valaibus collatis
- earex nague, et facet multus
- a nixs 1mne s gmen- Bmn voculimus a B et lF etc. vocabim
- et 36F + Hag, vocabimus = il a C et amnam aui demque appellabimus 4 a et fier:
- d2
- (11) 2 L aDO ac proinde 44 4l d6 quam valorem aequationi 8 inserendo, fiet.
- (5al a 18
- 2
- a A
- Y 2
- 44 +564la8
- aO
- uo ero ealeo n dea r. e. utu piue
- f + (13
- 20istae H- 4la 8
- Ja
- 49
- +qu
- intervenientis fier quae nec
- us p
- 3la 4p2 (d
- 3 Fmoerqde9 SeyB
- ila f, dp
- icrq d
- an L rans
- er
- 1 B
- +6 H p 13
- 11 46
- d
- (26s
- 0.
- + 4412
- a
- 11.
- 66atd
- 6ah
- Rr6 0
- iqu
- (214+ qu
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 66r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0131?run=74