# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-973069:0008
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-973069:0008?run=82
# Title: LBr. 324 · Grandi
# Folio 4v, page id DE-611-HS-973069:0008
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-973069&page=8
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-973069/jpgs/default/00000008.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 82, 2026-09-09T18:17:48Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.78
# 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.

sactione terminantis, qua Dambola ipsa cysindro cycloiali aductutu; quo
C
eode moto notam Logistica ex cysiadro super Tractoria erecto secari pose
C
et generati si relatio ordinatant ad axe mutetur in recatione ordinatan
ad carna ex cylindro super posseriore excitato; priore curva secarsose
Si
id quod methers tangensia inuersa obtinetur, ad non aliad resiiratur, qua
at tansens copesiteerioris cum, suc qua cylindrus exccitandus est equetur
e
e
temper subtangent prioris curre date; sed et s’exglicatione in glatia eame
C
sugerficiei conice, contingit cuvuas transformari in alias priori conpitudine ret
vel connctutione cirra eono, aut cysindra, de quibus allos.
Verid arbitror popdrins Theorema sia solui posse: Curne dite axis este = X et
ordinata=g. mox naler iptius du interminis ab ipto da affectes (3 disferentia
nons’esquationis curne datee) repenatur, omnesque eius coefficientes gonantur
=2; idess dy = 2dX. Acis aut e’cugne date habere debens a arce cume
inveniende ratione e ad 9 lin portionibus, quibus respardetant espules areus cumes
dico ordinata curme guasite fore integrale quantitatis dx V22- 99 +
n si non curemus, ut Curne quesite et date axces certa progortione (in
Et
partibus que respondent paritus cuvuand orcubus) obtineu
r
Ootae Cumae AID ad eunde x AC apsonatur queliter curr
AHN (dummode ejus basis C non maior, sed utcuns. mi
sit data curua A2D; quod inschemmate non obserruni)
ducta valitet ordinata H2F, et cume posserioris
normali Hk prioris aus tangense E1O intercep
faso CH, et vi ex vertice garllela AB; fiat perpehe
RF ad quadrat FH, ita quadratu tangentis E. B ad ageregatis qua
dac
AC, et  et ordinata be ad basos e directo plincti H, compleatur
i
hormodo curna; spatio aut S6QTC asflicato ad AC oriatur lati-
tudo 6X obid vidinanda ut groveniat curua MXC; Hgc erit equali
dase
2 AD. Oodert 
s
s
Hoctamen deficis utrague construtio; quod non semper un gron
enadas integabilis dX V22. g + indesendeatet a curnis non reci-
ficabilibus, nec in posteriori, sgatiu 6Q7C absolute quadrabile tem
euadit, ut gpus esses ad algetraicae cums qus ties equatione
constim.