Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 145r
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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The machine reads it as
- adeeque
- AB, X. BC, y si datur momentum ex vertice, dabitur pxydx, dabitur
- et (xxdu.
- Videamus an non hoc prodesse possit ad pro-
- movendas quadraturas rationales.
- sit y = + B (aC + ab XX, :, ah + XX) .+ (aas+ gXX, :, a( + XX). patet
- yxdx esse summa invenibilem per quadraturas rationales. Quaeramus v valorem
- ipsius XX per y; atque adeo ante omnia tollamus quantitatem irrationalem Fret
- Ac tabxx = aF + raafgXX + ggX = (t F h + Qaa f XX. + gX) y H (aatiht rahxx+ X J yy
- 4
- 2
- + aghXX
- qu (at + XX)
- Jy 29y +gg. ab) X HEahzy- 2ftghsay. + raafg- c- aahb) XX faatihysys -2a fly ta fs- a ch = 0
- ah + XX
- O
- l2Z tam Z + aan = 0 fiet
- 1ZZ + almZ + (1: 4) namm = namm aaln,: 4, adeoque fiet
- unde erit
- Unde hoc loco pro Z ponendo XX, fiet
- qu (2ahyy -2 (af + 9h) ay + aa (25g - ac- hb)) 4 (khy y- 2 hhytaass aack, gy. 29y +ggu ab)
- arsum- n) - am, : 2l
- t
- = (2ahyy - 2 (af+9h) ay + au (25g - a c - hb))
- ibi examinari meretur pars irrationalis seu vinculo inclusa, quae summari poterit per quadraturam
- CX 2
- rationalem, et eut
- 4
- t Aaahh 1
- acahh
- -
- 2, gy - 29y +99- ab
- . - 8o
- 2
- -gaagbis
- et
- y- (C: 3) +6.
- 4 pabXX + aC
- +
- e
- ubi cum evane scant y et
- reliquam calculum inutilem esse
- patet
- apparet
- reliquorum
- nam aba
- Quadratura rationalis dudum habetur
- D + yy -2y7
- 1y48- 2968+
- EE
- omittatur D, fiat 43
- Jam si sit
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 145r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0289?run=74