Leibniz-Handschriften zur Mathematik LH 35, 5, 1, fol. 1r
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: 0.82.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half.
The machine reads it as
- Aer ABpX. AE, ea
- BE v- ∞ BC,7
- + aWX =X P
- FG⊓2, GH Sae-x
- SH pa +a
- sine FH p, S2ae - X
- jam FH DC a, ECHI
- FGN DB I BCp.
- Erg. 4P, pra- 2
- Ergo PH 2a ae- x
- Schediasma de Methodo Tangentium inversa, ad Cnculum applicata subi multa de
- Octobz. 1674.
- hor argineuto gene
- mum ox alis productarum
- Dota aego Data Ata aequatione exprimente relationem lineae BE, ad lineam AB
- invenire liram relationem linece- BC. ad eandem.
- BEr Z.
- Esto AB, X.
- BC, y. ECP Relatio inter Z er X
- expressa aequatione, vig () y a - X Ert p a- X + y
- In qua aequatione tam X quam y duos habent valores aequales, a autem
- et p non nisi unum, Conferenda ergo haec aequatio estcum alia in qua
- duas constat incognitas duos habere valores aequales; X + b C X + b dabit
- X + 2bX + b 10 Ducatur in + 2CY + C2,. fier:
- X Y + 2b XV + 2CHy +b V + AbCyXF EK +2cb Y + 2bCX +
- Sed revera video hanc aequationem non pertinere ad rem, ita enim proposita aequata foret
- davisibilis in duas, sic ergo malo:
- x + y + b O x+ y+ bCX + 2xy + 2nb 15 + 21b +b
- Aequatio autem 2 nempe V. X +q B, ut smulis reddatur quartae videndum est.
- Quam in Din explicare necesse est ipsas V, e. X. nimirum, ponamus: V Y AZ + m.
- et X D + d, unde: X e AZ + 1ZC + x p v + 2d + d,
- et Unde:
- v- v + 1∞Z - V + E H0. Et loco aequationisque
- Scribatur;
- et p 2sa - y Mlultiplicetur atiaque aequalu pra v.
- X +2XY + Xb X, + y v + Z + 2YZ + ibV + 2b7
- )+2VX+ ya ra multiplicetur utraque aequalio per v + L Z + in 10. et fient similes inters
- Uude aequatio. a
- sie avtxex arav tosrima Nam 6ta per 7 mam dabit:
- suvefaray sa-a
- Cujus aequationis ope habetur valor et mutatis signis
- a v - 2XVa + Xa- ya + yX
- sive +P + X,y SaeX
- quec tantum determinamta
- uales radies
- + VZ + VZ2 + ib v + ilb Z + 2bl B7 + b. B +
- + 2bm.. + abm
- +2... + 3l... 4 m.. + m.. + 2b..
- Sed video me non quidem morem admisisse, sed tamen imperfectionem aeliquiss
- amque et incognitam habere debito onsrem, itaque rea resumam non tantum
- et numeros adjiciam, ut facitius calculi error in progressa vitetur:
- sumamus: 1X +LHy m 0, et quadrando fiet:
- BSl VX - B2m X, + 3bl y = EtiZm V + 4g m
- Vucatur haec aequatio in aliam X + = ny - 54 5, o. ponendo np2. et fier:
- Xe+ Glu XY a- _ 28mu X + 1+ en
- + B6l X y - O 7m X + 36I. XV - ( arln XY + +9 m X
- +14la.. . - 1d 28 ma.. 4 + 168 (. ) p renius
- -9101. . D 35 4m .. - 180 1. 18 noly
- +119 - 45b +616
- factenus incognitas habemus tres quatuor
- 1) v co + a
- 490 esto jam aequalio data: (2) Consrequriro relar erio
- et cop V +d fer:
- quod facde in humeris essequemar, nam poterigendo
- a p D e fier a v-co p 2pet CF 7, 0
- v2= cor + e cumque sit y 2. ponendo dp 4, fiet)
- cop 6. eodem modo quia X 1. et ponendo C er
- v110 et p, f49 - 36) 13 + 1pj7. 2pp 1 +C,
- se + 13, sive 2pe C 13. porendo ei dfiert
- Y 4262bp- 2636 B P 64 + C
- etiam sicu. P8
- e C 110, aps p. es 10 - 2,,
- DF-IIX B oi a V Bs
- +emm. Deryx 4BXY y - 64y - D18dry
- Simetuiimus ne forte non slatis sit incognitorum, in esfectu, (etsi numerus sufficere videatur) quia
- ne articit i neque x, nqe y, hublant inditutimus idio altusa ab ipsis, v. 9. y potest intelligi multiglicata
- 1X2 + B) 9
- tbi bas sse.
- 4. rardo
Cite
Leibniz-Handschriften zur Mathematik LH 35, 5, 1, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068018:0001?run=73