Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 210v
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: 0.74.
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The machine reads it as
- -
- Xeus Y dx nva
- Ax p eo - dZ
- 2
- dx + dz BCo. dr + dZ H co
- y _B. de + dq ydx A (a ) 4 acu
- dx etaa)
- Vaxa dx + dZ ponatur relatio Z ad X talis, ut sit
- dx + dz quantitas extrahibilis. id est ponatur
- 2
- LX2
- y dx ( a Ydx coax
- seu y ax
- X H ydx H.
- V + B2
- dx
- 2β
- 1bX
- 2
- de B de + idex
- ax +(88293+ F
- x
- (Py
- PB dx +
- sit BN X fiet C et .. Xdx +.
- positoque dx B1. erit y B = + 2x
- Vl3 + dx
- du
- X
- 2
- 2 2X
- et que aB X + 1 - 2
- de B X Ex + dz, pone XH... cd.
- fiet
- + X
- a
- 2
- ponendo codo pZ.
- ex Y1. +co
- ex
- ax + dZ n B 8. aZ gC
- dx
- 0X
- H
- s
- a
- d
- e
- X - 1
- a est data X assumia
- datur relatio iphius y ad X
- Quaeritur relatio ipsius Z ad X
- d2 cete e y -1 seu dque py- a
- Z + _, dx que
- a2
- 2
- 2 2X X H 2 2X
- et Zp-.:: cd
- xAx F, dx y2. seu posito dx p1. fiet
- a2
- a
- +2d Et du + dxps
- patet ad inveniendam curvani reujus elemen partes sunt partibus
- flnius ordinata Z et
- spatius cujus ordinatae y. proportionales; debere quadrari sya
- 2
- Sy a
- à
- fiet
- yH X+ a. fiet: ZH =a sit vri X + a
- ZA = X fa- ~)
- c0+1
- X
- c0+1
- Hinc
- yH = + Y X bX SH + bx (+ 2 - 2) seu S1 +bX
- yp = +v y - a L + 2V
- v- a. t supponatur V talis ut sit quadravilis, et
- x=2
- eo supposito fiat siae elim quadralalis ut si sit Y 12V+ = A = + a. v+ sitax
- opes ergo expressione Generali quadrabilium curvarum. X
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 210v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0422?run=74