Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 284r
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: 0.75.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 283v); this page is its right half.
The machine reads it as
- nota autem quod penultius tenulius aequationis reciprocae func erit
- 3. Xa
- 1 lt + a l Gu
- -3c ha
- hi cgaet,
- ∞3C + ht
- sive
- , + pa + p
- -95 + 3h, Ca sine 1a l+ 1 etetart
- 1t
- C3 = h)C + ae l (2)
- 9cHc
- Ch-HC+ atl
- quodifi jam ponamustam c quam im esse quantilates affirmativas
- sive h. p. 3C, tunc si possemus efficere, hunc terminum ultimum majorem
- quadrab i penultimo
- si eveniret ut radix daret ipsam m quo casu
- e rellimu
- et najorem fieri tripto quadrato triente quadrati a tertis
- quod ut compendiatius faciamus ct (h aequa quadnb
- et fiet hys +3C+G
- ergo = 3C A
- 9e- 9h2 +ga
- gnt a
- pradic ert. + +69
- F13
- imo dinuric debet 2, 13, S. c +B
- faciendum ergo prim
- acclue
- X( n -3c
- C - h=C + aet
- h. sit najor quam 3C. et ut differentia
- sit lo major quam i 3.
- praeteream opus est ut quantitas
- nominator C3 = hC + al sit quantitas affirmativa, quod nullo
- fit negotio, ponendo l. esse affirmativam, c. esse negativam
- sine ulla nova ipsius c artitrariae determinatione
- Resumatur calculus in numeris. y3 X - 1 Y + 1 r0. pone yp Z + C. fiet
- 12
- +3c27
- + c3
- -12 -1c 71.
- + 12.
- + m
- 24 13c 3 13c7 203
- anc
- me fimc. an
- +m 1. 4nc.. +3c
- et ponendo Z e
- C94
- =12 m. -1cm
- +um
- ut iam tollatur terminus penultimus aequationisqe
- fiet: Aquatio Recipira:
- fiat: m,, c3 - 12c + 12
- et fiet:
- 2
- 4 +3C
- vel
- +encM.
- 12
- 22
- +5c28- nc + 12.
- =9c+ 12
- -3C +12
- -38 + 12
- 10
- =3C+ 12
- X +e ne +n B
- +cneu. ZeC, O nct2
- nc3.12C+12.
- +(2, c - nC + 12,
- 23C4 12
- y3 23C
- 3e2+n
- +I
- -3C2+12
- X (- 1) 3C21 (+ 30, -3c412 Cd
- +3C, C=- nC+12
- 3c+12
- quae per compendium cum certesio ita enuntiata
- a
- C pCd + qed eY B dabit Tubicam tans
- F2PV + p v - q70 cujus aequationis
- Terminus focandus, constat quod provenientis aequationus
- cubicae si rursus tollatur
- tar cerminus tertius comporiatur ex
- tertio hujus demto triente quadrati a secundo hujus, id est crit terminus tertius aequationi
- provendentis: P+ 4r-2
- ne itaque ut tertius terminus provenientis sit affirmation
- opus est non tantum Ar esse quantitatem attirmativam sed et majorem quam pr.
- sive 213, Vr p P. sive 2 13, f-3c +1
- C3- 12C + 12
- 1t4 sive . 213, 1-3C2 + 1
- ponatur pis faciemus autem compendii eam
- c
- eteeti
- o
- p.
- = (2) 3C - 1, +3c, 8. 82 et 12
- BcI, _ (() c3 - 12C + 12
- 13- 12C+12
- quod fieri redo innostra potestate est,
- S+(4 e quadrato, faciendo : er. 4 fd + (4) et erit Cn +
- =d2
- imo simpliciter si ponamus CF ut habebimus interrum
- posito erit mon Est A h. fct 1 im Z H33, 8 er 203 f. 3e v e st d3 sis
- a 3.f, 6p ais s
- u
- 7 A 91 2, ) 2t -+ mutule
- 1
- 3
- +. h
- C - h.c + al, 17
- aquationg recipisae
- num esse affirmativum
- com
- intr
- +3C
- Polen
- atari subrrae cartesii ex
- X + C - 12C 7 12
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 284r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0567?run=74