Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 137v
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: 0.80.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 138r); this page is its left half.
The machine reads it as
- SiQuarritur ( san bgus
- C+ f yy
- et earum ope porro ad ratioales.
- dy
- reducenda ad quadraturas conteas
- sit y 1osxim, xen + 1 Sxtm, rp + 1 TXEnKIP.
- as
- 12. 12
- G 21.1. B D, 1. 12 nb
- Eodem mods fiat x et vV pro 10, 1, 12 porendo 20, 21, 22
- 5) Z et 23
- 30731,32
- Debet esse a + B a L bgy = vV et 1C+ fyy 2Z
- fiet a + 10. 10 mubt 11. 11 mpb f 12. 12 npb = 20 20 mn + 20u mp 4 2222 up
- 10. 10m tu b + 1. it o + p b. + 12. n nepb ( L 20. 20 men + 21. 22 m + + 22. 22 n+p
- d
- 1. 10 bt ambF1. 2b= 20 20 +21. 2 +22. 2V 18. 11= 26 21 191 20. 22 112 lu
- Habemus ergo ex aequationes resolvendas similiter prodibuntaliae sex si velum
- efficere arq.. . pro deunt ergo aequationes resolvendae duodecim. literas vero
- arbitrarias habemus quidem etiou 12 din spectem, sed vevera pauciores unt quia
- ea
- itaque remiser
- redu ad pauciores reducuntur en enssimenter incraremur
- sim Y, V, Z valortu, pro 10 scripsissemus 10+ 10) et in laeteris simedtm incraremur
- praestire non licebit. atbitiarius, et quia
- edo copparatitiae, ita in sil
- a unam et
- t
- litiae
- abe
- eodem redit aquenue quadrato firmulami atbusutcg? quod ea fiet si faciamus.
- 15 15 ut
- ea 1B.)
- itaque potuis aquemus quadrato suoductum exe a + bgy in et fG9, vel quod
- atdt coga
- y= hn u s ip + _ 1B LXAM, eta + 1A Sxtm, XEP. + I LXF nxIP
- y9= 1010 m 1040 X
- 13. 13 mn
- inte
- 1312 m
- 1414 m
- 15aG
- et quadratum sit a latere lujus quadatoquadhatum assurget
- ad. X rationalem per X) et X per IXam, Xt Et et smiles
- Habemus ergo comparationes X, X, X, X, X; et X f quod sunt 5;
- et _ ter X. Ju., XI.., X s. quae sunt 9 in summa 14
- quadratum autem excitab v0 (= arbusrtcy) excilibimus a latere
- D = _ 20 SXIn, XIn +21 Lxim, xip +2t Xtn, Xep
- 31X
- sed ita prodeut
- diterae coparatitiae tantum 12, cum nempe 10, 1, 12, 20, 21, 22; 30, 31, 32 m, n, p.
- rus
- praestat ergo rem omnem reducere ad Muthplice
- sinfimi gradus
- aqualitates Et primum quidem quia duas jam habemus aequevalas
- qua formulas simplices ut veluli Xra et x1b, jam simul quadrate aequare
- possumu, reducemus Triplices ad lales smplices
- Ergo
- e
- sint X + X + a y+b, _+c equanda catis. Nam
- et ipsum athyu +cist aequare eto huc alibi reduxi. sint ergo
- quadinti vD, ZZ, VY, nempe y+ a = vv y +6 = ZZ et +C=
- sit y = 1aY ( id + AX +2O XX + 2 et eX Lrrm, Nin + 3IHE SXAm, Xrp + aD FX (Xtn, xIp
- sit D = 12 tX I Y SIVSLS + C0 AI + UM + 120Y_m n + 13oCXrm Nip + 140 SxtR, X+p
- vD = 1I. u2 F 2. 119. u+ X + uD MDXX +Z. Bu Uxm em + 2 1. prAux Sxemxtp +E. II. 2. NX Exin, rp
- 2.Ggego Uorzex
- 210 n. 2 luo
- 2. 120 2. Margox
- sut conparaies ter novem, id est 27. Arbitrariae vero in y, sunt 12, in ipsis V, Z, _, sunt ter quinque seu 15
- summa etiam 27. Quod tamen vereor ut sufficiat, quico versih quantitatibus inrationes
- ter quol novas lucrate sumus in yuo iolidem prodeunt novi termini
- Et ita videtur res laudem futura in rolestate. Ino falso
- mminuitur numerus literarum. sed si yfacias 14 +13X + 12X + uX + 10X F 2F ZX Y2OX Nxam pra
- et ita porro, lucrabimur in y arbitrarias S,e V, Z, V, in qualibet 4 sunt in summa 17
- novae arbitrariae. Sed aequaciones
- fiet gy 210. 10 X 1010 in X A 1B. 10 mn + ZIBNIX + EIBAM SKEAN, KAP +E. LBI2 X +Z1AIE N Lnm ip tE Mt enre p Eem Eta
- 11. 11.
- I.ne
- s
- qu revocando ad ratiores
- geneuliuest
- 12 p
- e
- Arb. Req
- 44 42
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 137v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0274?run=74