Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 119v
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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One image of two folio pages side by side, registered by the library under both labels (also fol. 120r); this page is its left half.
The machine reads it as
- hac ergo methodos nihil poterit extraho, rectius faciemus resum enius aequationem:
- v2 (4
- 49
- F h4 (V seu Xetia
- le
- (7 se l m + m 2 t debet
- debet
- ergo Xl (+ m) esse quadratus, seu psm)+ gma an,
- sive im 1 sel - n. Erit ergo Xt C m +mn sive, et sive
- Th se l - he L
- fier: molu - hel
- Nto - 2sl n + nt, Xelm - n pone N, np
- e.t (- np) (+ 2) (+ no) (1)) a-n
- pro g substituatur 4, fet conferanturue- h
- qu1
- tur st
- 2
- + 1h lY + r, unde sit aequatio: erit n p hl +r, et fiet
- aequatio hlx + rel e p - 2blF - r sive
- 29
- per
- h13P + rpl2
- Equ
- eritque h e eq -, ra - rpq
- l’p talrq
- p q + hl 2q
- Sumtis ergo p. g. r. pro artitrio habetur h, per h. q. Y habetur n. per
- nx et P habetur N seu Elef - f el, Cum enim f sit arbitaria,
- 25.
- tantum pouendum fB es, fiet -ile -e jive - e25 = e5
- et 2 es
- 1 + 25
- np 17
- Quod statum efficitur, ponenda tantum p, supra positum pro marbitrio
- esse huy valoris. Cres cs
- mador
- masro
- 1 + 25, hl er.
- F R4C pal- 2rpl qu - r 3. B.
- V p + 4 lr qu
- tret aequatio -res-s
- 142 5
- C
- 12
- P
- caetera c. 5. g. Y.
- puncudoque reet er pp ex
- X- 2ette n qu ettr B + ut
- L3
- Et v. t. 9. 5. B.
- idrevius forte res absotvi poterat resumta priore aequatione, ponendoque
- primum inventa: D ae 14 8 et ponendo N h W,
- Rectius aequationem sumemus. et +2627 4t
- si XYZ, tunc ponetur e2 t. Z+
- NI
- et
- L,2 X - 75
- est IX = Cn pX. Ergo X = C 2C X. ad dendque utrobtue C, fit X , ZCX + C
- poncnde. W et 2X + C, p quadrato Y, sive X e ∞ 1 7
- fet X ( et y H X- w
- ec
- ve
- y 1 X - y
- C1
- et ponendo W y yvB fet
- an Reotus Male, nom yec 2
- sive 3VI
- redinlegrandum.
- q
- X2, 7 2CX + C ponamus CB) V, fiet X 17l+ eit
- Jamque ponemus XV e
- ea
- . 2716 + d, fietque: 2Yl + 2Y le + d 10.
- sive, G + cd2CB +g
- alxip
- = Tp. ponnde r 7 et, et qu,eY
- (X
- 1 ex + 4l etqu
- habetur ergo ex pure et rationaliter
- signo (
- c ab, peti ed) co eu 2c F 2Cd) unt id quodem ut hpal ri us spr e
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 119v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0240?run=74