Leibniz-Handschriften zur Mathematik LH 35, 5, 3, fol. 15r
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: 0.79.
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The machine reads it as
- Cuva HY parabola, axis AX. tangens TY. punctum quoddam fixum D, ex quo perpendicularis ad tngeatem
- DE. orit ergo paralleta ipsi PY. quaeritur relatio inter DE et hY. Datur EF. dut DF, quam vocabimus d
- et FA, quam volabimus f. Est autem ex malura parabolae XP, a semilatus rectum et TAp AX BX.
- et AFB X 2aX. Ergo TY, 4X + nax
- Ego GF B d srax. rum TG AF suve X, demtis AF GF. Ego TGH X - f - d sraX
- ran TE ⊓ TY. Ego TEp 4X + 2aX,X - f- trax
- TG TPrexia
- 2X + a
- et EY TY= TE. 4X prax X - f - d trax
- 2X + a
- Sive EY, 14X + 2aY X + a + f + srax
- 2X + a
- quaritur relano
- inter DE et EX
- iam DGp + d rax, sive DG ) S d ae +. L2 naX siv DG⊓) = Sa + raX
- Et GE +, STG - TE. sine GEp X 2fX - ad xtrar, +f + ds scar + ax-
- hive
- sire G2 1 Y7G - rY YG2
- qu+ taxtar, sie GEp 2592) Curra, , +X 2a
- sive GEp X -f - srax
- 2X + a
- rax+ ae
- 2X + a
- et DE X - f. d pax + D, scax tar, sic
- 27 ta
- -d Tax (F4 X d= 3a
- Frax + a
- deut
- Xa -fa - d sax + adX + ad (FraXFa)
- xea+ (aX + a)
- saxta
- a 1Z. et quadranto, a de aX - 2de _ hax - 2dgathat + 2 X + 2eg a X + 9’ a
- Unde: nimanto. - 2a XZ - a Z2
- +2e9
- 2a X + a
- +2dg a
- An teos. 2, +-f- 3 2 ns frarra pZ. Ergo 2 - f - trar t
- 2x +a
- EYA C
- S4X +rax
- q ua
- 2X + a san pi a Sraxta + Z Y
- adeoque. Qu Prax +a = 33 S2aX+a +74
- 2a X + aV
- ergo dividendo atobique per raX + a fier:
- ∞ac raxtae, - 2d7 Xa (2aX + a) + auZu X p7 a co2
- (Xa - fa - dhac + 2d X + ad
- - 2a X 7 - a Z + 2d ax + gr’a
- V 4 209
- +2de X
- + Fdg a
- Aequationus 1: Z A X. f. d srax (raxta sa
- sixia
- X - f - d L2aX,
- X +a + f + d sraX, Dx
- sic 1XISC cota - 8 sa 2X Z
- N cor F2aX + aV
- 4X +2aX. Jam 2ar +4 2x
- dat 4X + 2aX
- vel 4X + 2aX C E 2a7 + a
- sir e sine
- Six et quadrande: X et ordinandorosa X - cofra Y) codisZ V 2X
- N +X 2
- cosa X - cofsa d
- sa
- Ergo 2Xta a ria
- ta
- Sive suxp cota X -cofia Ea
- +f.
- Arz 8ed (2Xk, + f - x, A
- H. . . . . . . a5 X +atf y + 2 fa 2X cd
- xtars in
- XZ
- - 2 Fixta + X 5, co sirra. s 2X
- 5Z
- sivi
- sa
- llnve cotta X - costsa), + f -XC + dn X (sa) rZ rdonaque ( +
- = 178 1a).
- Eror
- sive xd 2ax + xda - 2 d xaxa + 2d Xata - 2 dXa2d X - 2dXa ad + a Z X - a Y seax
- H
- duuc:
- 12X + a 1
- 2X +a)
- sa Y
- R
- x + a +f
- Ho ) Unde reducendo patet X non assurgere
- ultra quadratum. Cum antea semper
- Ex hoc jam aequatione repertus valo ipsius X. insgratur in alqua ex aaequationibus, ad lubum assurgere videretur, quo specimine osamus
- superioribus, et connescent X. sola restabunt incognitae Z et Cd.
- tiones properandum
- quo facto videndum est an aequatio inde atasit ejusmodi, ipsis, d. et f (: et inde pendente C) pro arbitrio explicatis,
- ut de possit aequatio prodocta dividi per aliam ad Circulum, Z 1 2a= + eaF. in qua rursus arbitraria est.
- ope intur trio arbitiariarum utique poaedaet dinsio, et ponde curva eaden certo caesu a circulo et a parubile probitutis vescribarem abeoi
- habettem curvis crcularis et para boliae Aterm dincuso, vil quoratum circuli e Hypertilasimnt
- X+a +f + 8 Trax
- X
- ax) sixa(six)
- e vexta
- Xb 1674 appendix phedia sina tis de trochonionus et relatione redurrarum adbrdinatus
- G1
- io
- E
- In
- H
Cite
Leibniz-Handschriften zur Mathematik LH 35, 5, 3, fol. 15r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068021:0029?run=73