# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0811
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0811?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 408r, page id 00068196:0811
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 409v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=811
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000811.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

ope calenutarum delicatarum, et lineae logarichmicae in nateria soloda descriptae
in qua assurgere aliquid ac descendere possit possunt constrns des aequatione colenulae
ibunt BADEC DFG. sed pro exactioribus operationibus adhibenda essent
agulae. Credo tamen calenutus vene claboratas satis aptas lote rabilibus operata
nibus imo in magno dustrumento etiam exactis.
forte hoc instrumento solvi poterunt etiam aequationes plurium incognitarum
ut nC. G rb at danC. di   cvk c-1y
band
rates positione rectis AB, et EH. adeoque eurum puncto ancursus D. et in alterntra puntto
uno ut A, dabitur DA quam vocemus a. et AF (posito angulo DA F recto 
quae occurrat ipsi DH in F.) dabitur et esto b. sumto in curva puncto c.
quolibet. inde demittatur perpendenearis CB; quam volemus y. et ipsam AB, vocemus X
Ed posita AB abscssa, CB. ordinata habebitur data ponatur ex natura habebitur
ex natura curvae, relatio inter x. et y. aequatione expressa. Ponamus vero puncta curvae
non ad rectam B, sed ad rectam  referri EF
nreferri ita ut abscssae sumantur
inde a puncto sen concunsus duarum rectarum positione datarum, D, erit DG abscissa
CG ordnata, et appellando DG+Z. et CGAV. fiet Z  a + ax - by
er CGH VH  ab +b+ + ay
+ b2
b2
quemadmodum jam calculavit Schotenius, in mecom. ad lib. 2. Geom
Cartes. pay. 177. se
nihil nece
in cipere
Tubicunque
et abscissis postis EG. ponemus, erit E ponendo EDC c: erit EG5~ + C, vel V- c, vel c - B. sed nos quia
signorum rationem hic non habemus, vocemus EG generaliter v 4. Cet fier: apita
Quod si ergo aequattones ope harum duarum crva
in aequatiine ad curvam datam inseramus. Habebimus in ea daas tantum
saequationem s i
ationum inveniamque valores ipsam a
nitis
et 
munee a aequatine pateri vari
et
bi. eose
datam aieuva nog nisir saavitiper irsal
le vis
a. b. c. n