# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068124:0222
# Permalink to this reading: https://leibnizlegible.com/page/00068124:0222?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 111v, page id 00068124:0222
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=222
# Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000222.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.87
# 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.

putet esse
GV ad Id5, ut ut
D
e
in
KC ad ad Y. adevque rectis. 5 eo
C, Cn
velR
AX
propoctionatis erunt
 ut BiC
rectae ete e:
nectis KC Cn r proppartionales
nectie V
G
vel TH
Rn
erunt
Ra da
vel CH
Ergo C H ad H.
ut q
nC ad C
 rectus. Cum ergo
sit angulus CT
in duobus triangui nCK ad et C
sint rectc rectarum unu ulu rectum
comprehendentium ratio eadem
etiam trianiula similia erunt, adeoque
paralleta vel potius (ob quantitatem ne
infinite parvam) conncidlens ipsi nk, adeoque erit
C
tangens. Tangens ergo ponchoidis sic invenietur
constructione satis eleganti: Rtico transferatur in CH
ex Ca in R angulo G recto ducatur GV occurrens
k R0G
Normae R9V. quae transferatur in HT angulo H iterum
recto, juncta
CT erit tangens angulo recto, ad ad
 tanget curbam in C.
Hfinc pater artificim omne in eo consistere ut
nek cui simile ad ( constituem
cto Tiangulo infinite parvo
dum est, quae quod difficile est, quia ignoratur ratio nex
prposito
n ad Ck, quaeratur aliqua aliud ut Rn v, cujus laterum
 at Ypi ut Ca ad RCo, et quia anguli M. et nCK recti
in pY datur reati
hino et ipsam nk et RY relatio datur. Et huic novo
LC
Triangullo constituendo simit. Rjur aliud simile constituendo
rem confectam haberuus