Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 37v
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: 0.74.
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The machine reads it as
- Quaeritur ex AIxx -bbB, XX - CC) sit X=
- biles
- compendio,
- c a sl:
- es rationales in tegrlas s
- siet XX - bb, XX4CC = aa sN = bb 33, aa SSV - CC 13, = a tbbcc = aabb se s 27.
- Cujus per multiplicationem producti Denominator est quadratus. Itaque efficiendum est, ut etiam Nume
- +453va Ntv + 4a5W AV
- + 4bbcc tr A+V + 4bbcc V3 )+v
- aabtec st, per compe bb +CC per compendium vocetur 99
- co
- =aadq = -fevB aagot veico a sqo vtr
- =aa glico ve-fgatvie
- et esic rantatus
- Yt- 2afg9 tvc0 LV
- 24498co10
- Et stabit totum Numerator se ex ebb producti ex xx- bb, Xx- ce, ita stavit) Abaa- qq ap
- +. a acctq
- aaqu l
- Posiemnglo
- tas
- ractito
- Haec formula ut ostendatur extrahibilis quadratice, identificetur
- quadrato a Latere aa YvZ t
- +QPZ
- +aE +7
- 2
- gale nempeduno
- Y+ vs
- hacto 2q
- Et fiat e = c + Ergo aequando partem irrationales
- fiet
- +2 ua LV a
- -243d V - g
- Qetedeo
- + 4aa -Co2
- l+ q
- Et aequando partes rationales, fiet:
- traa Htoo+ na od a a
- +99:
- -93.
- -4g9tv WoH
- c
- 4
- (2 49Z
- aacges vZ
- ul tZ
- Hic nullum occurrit amplius compendium, nec video divisibilitas
- glicuius literae per aliam, seu ad eam reductio effici potest satva generilitate
- Tantum ergo superest ut omnes literae quantitates variabiles t v ,
- ed (acrend t iole ut v 2oh+ uh
- explicentur per unam, verb. gr. per
- =3ot aoh 1- ol A1L es = 50h + 3, t. quibus addi potest litera l.
- Hhabemus ergo arbitrarias minimum octo vel novem, opus est autem etiam
- aequationibus octo identificatoriis, quia aequatio assurgens ad gradum
- quartum requirit aequationes quinque et assurgens ad gradum secundum earum
- rebiqui requirit tres. Itaque spes est rem hac ratione confici posse
- sit V- toci + nh. ( = 1ovd +nh v= 20C +2th = 30co + 3th - 200 + 41 h.
- Z= 5oci +sch et + sit 1g 2aa = nim, et ( M = 80
- F et exaequ. l. fiet a alqque + mmtr + minco elcdco
- 40 = (20. 20 +00. e0) 2a -(00 qfbo. 3 sun ( , al 40. et inimtozermm u
- AL∞ +
- rator quadratice extrahibilis fiat. Explicetur ergo, i rascorto 33. aspsto
- +aa seY = + f Et bD + aco +67ft vcda
- + bbcc 3 = + buccttve +bba V + 6 bbec tv u
- d
- CaabL HVB a a +C3m
- =aaes eoco
- hac
- -00. 00303o rna
- 2. 21. 31aa - u umm. , al 40. 51 um 1021 CBVo3I ero
- ititr
- sta
- 11. 20
- oB S
- L2631
- (3(3) - 31. f
- 99 + 2aa = qu (b+C) et qu ogequa =nn
- 11. 50
- mmII. 21
- hh, al A1 S1
- gu - 2aa = qu (b -c) = tum
- W- co = () (00-2d)1o 2ia
- et , et sit + = 10W +na v = 20W + a 2 = 0 = 30 10 + 3ia
- 8= 5oW + sia Z = 60W +61a, et fiet raa WW= al50. 60Wo + al 50.51 aW + al 51. 61a4
- vel ommto
- sit cdFZ cd + ip =
- 2aa I 451)
- + raa qu cot ) - al z vel mnbv- nnco ib + raa qu ( + Y) = al
- = al9.
- Et ex aequ. 1 fint -mnt Vnnco + 2a a sidlo
- se
- mm 10. 2
- nn -70. 31
- +315
- mm. 11. 21
- Mm. 10. 20
- nn -31. 3.
- si sumat
- nn. 3oh 3
- Ex Ulo quaeratur 10, ex aa quaerantur 21: Ei ralores
- substituantur in aro et ex a qarm aliqua ex so, st, bebi.
- sed fortasse commodius aliquid reperiri potest, quam ut omnia referantur ad Cor ve
- posset e sumi quid +qa. fortasse tame optimum erit pro basi retreri 1d + 1
- =2af9974
- Sit 89-2aa jen bbtcc- b
- uaam
- W = co + 1
- W= c + quolp ao + 60c0
- Uro =coo + 2a
- 4eo 1 out
- ergo ex aqu. Y
- d
- slto
- FSauptrur) Exaeqirda
- aa tvrc p = lioro 2
- ed
- Extractio sasti
- trrtuo ipsius
- cd
- 99 = bb. + cc
- aa = +bc
- ub raacs
- +aato
- ggtraann
- at30
- raag3 coipse
- 21=
- .31 nn = 51. b1aC7 1
- 3odizun-Serbt al. 120
- 21 =.
- 1omm
- pro aeq. 5i possett to, co
- hatieas
- etoz explicariper
- aegeatones forum
- coi
- pr s ossux+ihsae
- W indepenitas ab cdvele
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 37v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0074?run=74