# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0359
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0359?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 302, page id 1815201908:0359
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=359
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000359.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.84
# 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.

2
2o 2. 22C d l30
Corollarium.
ec P, dico tore OK ad R P, HL. A ad AD. quod ducta rectâ A C codem modo
LEagUE CrES tanS CCS D L, OP, FC similitee sune divila siC VE P. A sit ad AD,
sicur OK ad L C, d C C ad CF.
lk0105111C CAI1.
InEdux diametrorum COMS ALIONeS AB, BC, F G, DE, aganturquo
Sper A _ C tangentes LLLs LL L, guae F C, D F. diameeris occurranE in
quo vu lumus demonstrabieur.
Vod Rper K ducatur certia eangens, conueniens cum B A, B C coniugatisin D
FI, I, RE, L. punctis.
LXIO. B1
Dico este ve BC ad B A SIC FTI ad R L.
Demonstratio.
Voniam recta B C xquidistat recte
LHLL, SER E linca ipS AB, CrunC
eam TIA, BC, AT quam RC, AB,
CF linex in concinua analogia. cum
CrgOAC VETTA ad AI, prima ad cer
ciam, (C= K C ad CL, prima ad cer-
ciam: cric criam ET A ad B C, prima ad
secundam VEKC est ad A B, primaad
secundam: quare permucando est FI A
ad KC,ivc B C. ad AB, cum igitur
anee ostenderim FY A eAc ad AL, vE
KC ad CL, adeoque invertendo.
componendo, ac permurando: HC VE
FTA adRC, ACHIF, ad RL, CrIE DE
BC 2d B A, it2 HTI ad RL.
Corollarium.
Odemmodo ostenditur, siper P axdl tanxens quae cum AB, BC conveniac in
Inedux diumetrorum coiugationes AC, BD.
a EF, FC: actisque per Fd Gtangentibus qua
diameeris AC, B D occurrancin FL, I, L, M. duoa,
EUFrecta F C: secans B F diamerrum in R.
DICOLK, H F, R L lineas ese conrinuas.
Demonstratio.
P _ 9 eAle ve BC adBD, scHI ad PC.
P R OPOSTTTO CXITI
oniam LiE, repore conugata ipU L CGaa
LFANGENEI ZG, CrIE L R ad RF, vE OR ad RF
Smilicer guoniam F O repoce conivonca ips R F, paral-
Iela AEEaNgENEI F I, CA VE GTR ad KF, SIC K E ad KF.
sicur vE L. K   Duod exac demonstrandum.
R
p e eis estu s   s qu es s e  e ste e  e e  tete e e s  t e te  1 e  te pe 1 t .  t  1 e. e te .  ste e  u te        s e s A. et    11 11 11