Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 93r
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: 0.72.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 94v); this page is its right half.
The machine reads it as
- Proponitur (XXtab, Xx tac) x = aydx summanda fomila quadratuera rationali. sit
- Xi de 1O+ SD, 1B fiet xx: aa = ∞ + D+ 2D: eff O500
- et dx = 18d0. 16 -. 014. L g_ + 1YdD: sD - (Dd q. : 28. vocetur O+ D- t
- I fict d = fg- 2aG:C
- b+c-pC
- Eh+A4D +4 On = ff0 + 9) CD
- a+
- e ad +..
- aest et a
- et fiit faath. Fqaa OD + afgih spatih + bc Haq + abC aatit- abe atgete =0
- ees
- ee
- dov et
- 4bc - ee = - qu (b-c) fit -d et fiit: dd aaht + dd asyt + A aa CD asse- agq D + effe
- fietis
- a
- et
- et Cl
- seu 00
- quatu0- quad
- e
- (=0 jam D-t
- t ddee af Aaa (D B + 4ane e0O = bc ft =0
- doaa
- u
- dd + ee =, 2bG + 2CC, sit (2bb+ 2CC) aff Z
- piet Gt+
- aiqu
- ddaa
- oeaa
- aa dd
- H, ubi l’est constans
- au
- t + uf- 8 leeffo tise00
- Bletf +16500-16edd50-4bc ddfc4 ad) lebet posterius aequationis
- 4d4
- O
- 107C- dd)
- lf4
- +
- lf4 - 4bcddf
- 16 (ee- dd) aa
- fiet
- latus aequari quadrato
- dormo tum
- aall abcdd sed ita eganescit f et res reducitur ad datas
- contrihus pothesin
- 16(ec- dd) aa
- videamus an rem melius possimus consequi, si non facamus H = g9, et
- resumamus -dd aati + d0 afgt + 4aa BD- ase -aggd + Ag (bC: ee) et pro D ponendo
- 4 qu (e .dd)
- ft dd patit d acut qua F () in Aaa dD in (B apat tg fgg(bCo) =0
- +fd
- seu -d aa d = dd aa D= 2dd aa 0D + dd afg = dd a5g
- et
- = GaOC) +
- ee
- ee agq
- + qua 1D+
- ∞ Aaec- 2add)(D 2gdd-Bet)
- 1.
- il
- d eeg
- d
- agalu
- 1D. S
- aue d dd
- ed et (add- H∞- atu et ddt G aDD abili tc bb
- et
- compandio sit aca e t2add= mam =2a B D2acc - qubc - a abb Ladce 8lbC B +b
- et fgid seec aatm Agdd + sec = aux et +fdd Deet= p Aaq. na, bb toqu)
- 00aG tatsooru et fint Aa CC. + aa m D + aapf
- afO = aggD
- seu
- ea
- tumDD + 2am pfD ra pptS
- i 4d+
- ammDD+ 2umps+ appff, + add ag - aad 1D = 4ddg aaque D + 4ddbc ffg9
- dd
- a.
- pa
- quod latus posterius aequationis redienduum est extrahibie. sit samm aad = a
- et 2a (mpf 4 2dd94)= zat eta ff (a pp + 4ddbegu= ffaes,
- et fit CaYDD + 2a tD + ff aj aequ. quadrato seu 9D + 2at D + H = quadrato
- delet esse aaH: rr = sH: Y seu matb = r Sf
- e
- Yth app+radobigque = rsff
- aat= aa mmppt + 4ampt ddgueq. + 4a gg 49.
- siet (anmpx)L 4 a mddpatus + 4 ad 29 4g = rpost + ab. dd Hgg
- app= d f dgq.+ e - 2dd eefg Et explicando petque Ca mmps. aci
- duf + gg - 2ddeC5)
- hit 4amedtu (dd ec( +sg) - fy (d + C 3) + d (d stregus redee tu)
- ac, + ddeeft + ddeegus - e +9
- nqLst ui dividendo per 55g,
- aequ. AcrbcddHg- (d +e-2dde ef9)
- +ad ffg9 + 4ddvg -9dvefg3= Anammbetsgu
- ubiue habetur in nisi P.d ) et q. f, _ sit apF Y + ) - 4 AbCffgu L D
- fg9. dde28 eef9 aaerc
- t tiit 4a X+4a SV+ ad = gaerbedd seu 4anV + yV+ dd~NK = ammbc-44a 0bC
- it aidit
- tere
- .a
- 94
- qu ultu are
- a p9= S
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 93r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0185?run=74