Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 290v
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: 0.76.
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The machine reads it as
- X⊓ d + c.
- X 3d e X + d sit X (+ pX) 3d e X
- orscr
- entque. d d 4 a r d3 + r 18Y - 0
- s sive d11. B += + Sr c07
- fetque (2) = +, 7- c Y
- rursus ex altera aequatione dtep
- est satis ubitiariarum Si faciamus:
- Fp0.
- v
- adeoque d- v d + v grudo sp
- d - a n rd rp dE + p c)
- 27
- sP
- ap I = co sive de, ~ + sv st
- +SV Cd est autem +Y. VrI sed ad istam comparationem non
- Erp
- 4p
- ne p bc
- ergo mB
- m+ H, b +C H mb
- X + pX2 , 4X + rX + 5X.
- sit: X 4+ 3CX + C + b y N. et X 4X + d + cY ,0. Erit Vr = X - 3rX - d - X = 3CX-1
- et fe sive Ax +3lY X , db Y e, tve X 5+ 2bV X +dh. po. aequatio comparanda datae
- cc
- 3eco
- -C .. -3e0 - ce
- dccc
- b-e
- b-C
- Jin ex prima aequatione eit X + 3co X +C p0. erit Xp sB -c. by + sereby t 7 Co + s bj rolgerdis lo
- + b7
- Et quaerendo eodem modo x adhuc semel ope alterius aequationis, singulos terminos singulis aequando
- fiet: c+ by 1 d + BV. imo hoc jam tam verum est unde sequitur et CoV
- entque: y e c- d. et in aequatione data fiet: X + 30 + db - ce. comparanda cum X ~q+ r. 1 0.
- c- b
- XH fl + sc r9b 8
- xH
- rum 2f9 b X
- 279c
- 2fgbcc
- 2f9bcb
- fier v,1-4 et sed haec imania, nam potuit fieri Z cabys.
- X, S +st b
- lis ebi
- 259b 259bcb
- 2f 9cbc
- 259b
- b -c
- 2f9 e
- 259b.C
- 2529bc b 2f9b2
- X fl rsc 496 + gC. X f b + 2f bc + +fC, +9b + 296
- 396c22b2
- + 2fgb3 X
- +259b
- + 2f9beC
- +bec.
- fgbc b.
- 2fqveb
- 2f92 C5
- + 259b 2b 2f9 Bcc
- +259bcb7 2f968c
- + 2f967 +259c, + 2f9bc, c + 2 fgbe b
- X
- X
- X
- -
- -
- +19..
- X 3 = 89X - r
- X7 - qX + r 3
- +
- or..
- X = 3pX er
- X
- 4 3P X an
- X (pX -op X (= 3pr X) +
- +3p. X7
- +3pr
- X + X + qX + rX + SX + +
- 3 + 5py + fy 1ob3y + 5 b2y b
- +B. 14 pb +apb
- +q +39b
- + qp rpbt
- 39V +9b3
- qu -
- + q X + Y
- 4 + qu X 2 - r 0
- +r4(V 10 sit de c, seu ex c
- Dividatur haec aequatio in duas
- ide nempe X + 3d eX FY p7 0
- et v + P ide
- + a + b +, C +c
- a - 6 n e =c erit aB C. et e- c
- a +s e c. idem:
- t
- ab nc A + b 4 ub 4 nC
- meth
- it p 2 anerit: P 2p qa p 9 - 2pr
- eit
- ive p - 4pi9 C (29 6pr
- p F6pr pIpg, sive p +brpi Apqu
- seu 125b
- = 125,3
- + 3,5bp 3,5BP + 25
- N6 - 29X + ergo si aequaero tructabilys erit, 9P P
- sive X = qX A +r
- X⊓ X + b.
- sit jam P +etBo. erit bp -p
- Sit et 10 b +6xb 139b +Y sive
- ( +6p 2P +r 1.
- (25
- 25
- es sire 4~p3 - 24p +Y B07 sive. p - 4P +2
- Sine per praeparationem videamu an fieri possit
- 3 - 1528 + R, antequam accedatur ad destructionem
- terminorum,
- 1et b2 + 3, 25 p b2 +3, 5p b + p, - 15 10b2 5b 1obr p +25 5 10b3 F v.
- +3, 25 p b M. patet b
- =1, 25p. destraiet prae.
- +. 158 0p..
- 1767)
- formaves esse
- mutiles
- 4pb .. 27b.
- 6pb
- 39 b
- Ponamus y1 Z. seu Z b
- erit a 2 Z2
- +c
- Zare V EscZ - 30Z+ 0 Z
- 430b3 + 12pb + 39b, + 6pb + 12 p b + 3 p4 - 10b - 6pb - 39b + Y. qui si alessent p. et Y fieret 30 b p - 6 ) sin bp s.q
- + 100b1 + 3OPB3 F20b29, + 1b5B +8p b q +q, b25 b +ap5 B p +6, 25. 6 +4, 5bp + pY 5 b ap b + 39b
- s trae onae aequationes solvi postent, posser idimpleri conditio posserrs aequationis surdesolidarum rabicum 22 b +
- e
- + rb +rb2
- +1
- 50
- +
- 2
- N 2. 29 2
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 290v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0580?run=74