Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 225v
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. 226r); this page is its left half.
The machine reads it as
- Detecto jam enore sumatur n). 1. fiat 12 y Resumatur Calculus, cujus cujus
- nondum spem abjicio: y - 12 _)- 12 ro Multiplicando per y + m per: 9-YY
- Zn co+ b
- X X 9 = 12 y - 12 y
- +m) X - 1n. - 1m
- tam y - 1y - 12 y - nn po
- + 12m3
- F4, 144m) o termino
- 10 +3bCd + 3b co + b3
- +12. + 12, b. 12 bV
- =12m. - 12mal.
- Eti bdm (2) a. (1, 4 tuem ex
- sive m hm (8 = D 18. quo
- aquatio impossibilis
- l 48 36m p un +48
- hot 3mp. m Fa. ardioor
- nV. X inf. = 12m 69
- Quae reducetur cd cubrcam hanc:
- r3om. -tota 4 sic
- n Bn rum +128
- 1qa 2n
- 2,nam 1. n
- 6n +48 m- g2m -64
- + 12 m = 16)
- tas m - 12
- huc Id-Em + 48 m -8am 4y. =5 n
- - 4 com + 962 - 168cd m - _ 96ad
- 4m tam gu. - 192 u +36m +.92m
- 5) - ani tam - 16 1 -6 n + 48m -7 2m - 64
- quod poribile est, adeoque videtur tolci posse terminus ullims + secundum
- b, 29b + ( 7 Ed (9b)
- 63 - 48C
- 6v. Ergo m run . 16 ( r - 6 n + 18 n - 7 2m -64
- u. aba wel. rrsd n
- m- b m +b m er.
- t2. +24.
- ab eadem quadmtoratice
- ad non immntabitur relatio
- sit quadrabus ab sm + p. nempe fin + 2 fe m + p.
- et ejus cubus.
- tu nipomalus vllimiaut dividi tur
- f m + 3 fP m + 3fP m + 2
- 4 m 4 1 m = 16 : sed quoniam ila divisio non ita facile procedit, et patim
- si n + essem +p
- er 0
- nunes arbitrariae determinantur rallo
- do sit radis +Qsam, eius quadratum est:
- am-
- pae 60
- Explicanda ita est m, ut aadix quadratica ab eius
- abo extrari possit:
- -b4 m 3, 16 16m
- +3, 6,2 m
- -3414am
- +1724 m
- 43, 262 am
- ut extrahaluo Radis, ordinemus : am 3, 1612M (2, 9144m - 172q m +3,614m + 3pS = 3, 25b Br 240gs
- Debet ergo
- C+m (m (m (B64
- +3, bm
- esse majoi quam 4 8m 436 m +150m + 23 diffecentia
- scilicet, ideo, ut sciamus signum dandum parti majori, eorum
- quae signo + vel + affecta sunt.
- Ad duas ergo conditiones rem reduximus scilicet,
- tum, st si 4Sm A M S4 mupsi quata = 8n + 36m + som f32 minar quam (Fbm (495 m (4) rem (46g
- tum ut radix extracta sit justo major. spoi ut novissima subtrahenda inter extrahendum sint majora addendi
- udo od .3. - b4 c: ani + nm - 16 , (4 13, Ba um 17 t. - , nrr ani
- yu, 6m ani
- pad. a 6m = 48 n + y2m 764, Ym - 2, 6, 1 48m + 48, 18m + 4 2, AB, M Nm 472, 72m
- +256 Bpem H6
- quae quantitas videtur reddi posse affirmativa
- X 2 12. 6 m (6, 2
- divisibilisenim est per M, et numerm qui tunc fit solus potest
- majoi itelligi omnibus potestatibus ipsius m
- M = 64 127., 64 n
- CM
- + 45184) 72, 72)
- 11 +36
- et ser Jesqsut i
- e (-12C2) 1ibC 464
- +1e- 122, +. + n, 6
- F. 416 9.
- +12i. 4
- +3256, 4 N.
- +3,16, 16,... - 3, 16,2,42.
- 3, 10) m
- Exinrn
- nnh em
- +Daegam ponerdo ZpC (t2)+
- +36m. +36mb
- -4m - 16. Ejus cubus
- 19G10.
- ex hac quantitate
- 1 12 12 + 12 42, +B 1t 416
- montatis siguis
- 12 12 + 1616
- 8m3 - 3, 12 m
- =6, 12m + 19, 16, 6 8
- +61x8m -13, 166, 253 m 228, 2
- 3, 12 256M (- 16, 1616
- 3 7 . 2= 10
- 12ps ... 12. 2bM
- fos. xocsa in
- 226
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 225v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0450?run=74