# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068202:0248
# Permalink to this reading: https://leibnizlegible.com/page/00068202:0248?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 2
# Folio 124v, page id 00068202:0248
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 123r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068202&page=248
# Source image: https://digitale-sammlungen.gwlb.de/content/00068202/jpgs/default/00000248.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.91
# 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.

contranatae ab axe Cyliniu seu cycinorventis fo2mandi) sumlisque in axo
Cdd partibus continue aequalibus Cd dd, etc. atque ad enie pergendi cutaribus CA
ta, ec. erectisque itidem ad planum CAa perpendicularibus, a 0 a O ferc
munifetum est rectas a O esse ut 1. 2. 3. erc. et eorum quadrata ert horaquadrata)
et proplereaspropter augicum, A da rectum B rectusque ad invicem aequale
tpectis omnibus Od. quadcata harum esse, ut quadrata numeror illa aequalibus
qadiatis aucta  Adeoque si torni ope circa axem Cd (frus. 215.) descubi mellligants
an cylindivende circuli quorum radii sunt ipsae dO rectae, ectro per ayem exhibett
ipsum dCAO. figarae 214. planum Euul utique circulor illorum radi
planum cgclentis ipsis S0 utriuvis fignio aequales. Nempesi in binis figuris
sumtis tum AC aequalibus, cum aequalibus Cd respectivis sumantur a fig. 215. ipsi
d fig. 214. respectios aequales. quod fit sumto A a fig. 215. ipsis C5 figs. 219 respe
iansulo semirecto (qualis est in fig. 214. SC M. quem
cum axe conjugato Cd facit Asymiptotos C M. si vero alius sit angulus
OAa quam semrrectus, illi ygruet Hyperbolae quae similem habeat angulum d (M
ut nerpe C5 figs. 214. 215. sint respetiors a, fig. 215. aequales constat
onstat itaque non modo cylind rocides hujus modi torao formari posse
cujus lectio per axem sit Hyperbolo, sed et quae sit data Htyperbola
taque
exponatur Hyperbola AOO. figs. 214. Quaelibet, cujus certrum
quippe
C. Semari
rensuersus  c, CA. axis yningatus D. C8. et Nymptotum CM. cui
similem imporatum sit torno exhibere Hoc tantum curandum ent nempe ut
CA. fig. 215. sit aequabis ipsi CA fis 215. sitque angulus a AO. fig. 215. ysi
c
Aoc ide
figs. 214. Quem cum Asimptoto facit axis 3jugatus, aequalis.
citin axem
solidum fit conversione
Crnjuycitum
Hyperbolas A06 fig. 214
hgregium hoc sine est Wremi inventum, et videndum
circulus, Ellipsis et pa specra, quid simile pro
et pambola comminisci liceat
rectilinea sed circulari.
Ell ipsi
ntendo scilict non acie non
Ita enim
tomatis
aciei circularis positione descriptae
quae est sphaerae
an
fiet figurae obliqua
confructio
deiptio
non difficilior, quam
n  p