Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 31r
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: 0.87.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 30v); this page is its right half.
The machine reads it as
- Re recti consideinta patet omnu brevius tractam, et ad unam tantum
- arbitrariam reduci posse
- sit laequ
- X a. mX + nX + p
- XB+ EmXe + 24X + 2pX
- +X X +qX + YX+ sx + +x + v
- + x_ + l
- Mr + imx Z mpa X _ qu + rX + sxt + tX L VX
- An X+pX Ap + lX Alq Xt +liX +ISA A LtXFII
- X+ iMX tinX Fip X trnX X ImpX +mpXAp aqu 2m X L 2nX + 2pX tinnX + impX + ampX + pr
- ne xt + n X
- Sed hihil hic tucramurt
- Nota
- m X
- + n2.
- - 9 X6 - rX - s xt - + x3 - v M = It X - lv
- -19 - Ir. -1
- si aequatio X2 +gX + rx+s aquo sit redacta
- ad posit (posito X aequ atb +C +d.) sit redacta ad hanc:
- a =2 Ba = 4 a +5 aequ. 0. seu ad has. a + b + C+ d aequ. 2
- 20
- et ab+ aE + ad + b+ b d + cFd aequ. 3. et ab + a5d + bcd aequ. 4
- et aeb d aequ 5.
- Et aequatio a-2 a etc. possit deprimi, poterit
- etiam aequatio X + qX etc. deprimi, et contra ponamus enim aequationem
- datam X + qX etc. posse deprimi, utique dividi poterit per aliam quae sit:
- in duas alias, quarum si inveniatur radics si quaerantur partes a. b. c. occ. utique
- necesse est oriri aequitionem v.g. ad a. quae in illam a - 2a etc. dividere
- debet. Et ideo quia duae sunt aequationes ipsam X +qu dividentes etiam
- duae erunt aequationes dividentes ipsam - 2a et. pec referre
- videtur quod pro inferiotibus non suit tor necepariae rndicis partes.
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 31r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0063?run=74