Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 9r
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: 0.83.
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The machine reads it as
- proposult du. Consiliardus
- 700
- Vata disserentia duorum Numerorum
- Quadratorum, data summa numerorum inter
- latera interceptorum indenire Nunieos
- Vata summa numerorum (integros semper intemu
- e
- intelligo) inter duos extremos interceptorum,
- dataque differentia quadratorum ab extremis,
- invenire extremos. sint numeri dety
- extremi:
- x
- X minor,
- V major. quaorata
- esit hEunctas et a, Sb sint numeri dati
- quadrati xtremorum sunt XX, et sy,, quorum datur
- differentia yy-xxLan summa omnium
- ab 1 ad X est XX+ Xh. Et simi
- liter summa omnium ab pad e
- ab
- A
- go ab 1 ad y-h
- du, quarum duarum
- yu- yn
- e
- summarum differentia es erit
- Vy - yh
- Seu (3+10)
- 2
- XX+ Xh
- 2
- quae _ = bh
- yy -Xx + xh- yh
- e
- = bh unde
- per 1 fit (4to) ah + xh - yh = bt seu
- -X.
- seu (5to) = x+y = 2b+ a. sed per 1 erat y in X+y
- mop
- 6to) = ah. ergo per Sfit X + y=ah
- Ergo per 5 et 7 fit 2- 04a
- e
- =2b1a
- 2b+a
- 20 = aM, + a = 2b Et (gno) 2X = = ah C (a. 26)
- q-2b
- 1(10mo)
- compendio sit a - 2b C fiet
- a- 26
- (1mo) 2y = ah +C et (12mo) 2X = aM +C
- itaque
- nueruna summa iatere C
- vertie
- chani
Cite
Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 9r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0017?run=73