# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1031
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1031?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 974, page id 1815201908:1031
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1031
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001031.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.85
# 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.

VNEVLA CLLIMDRTOA.
est seomenti L C: DHC. Hesaemontrarum pracereacuesmeum LVDIIL.
4
Cumpeo ese aequale. Fotaisicurrnsula segmencorum A F C, B F II est. criam octu-
Pla. lgicur legmencum LiCDHILi, ee duolimul legmenca ALC, BL. Hl xqualta
lunc duabus octavistorius rnsula. Elis ergo ablacis erir rngula ad residuum solidum
rectilineum rcd ad6. Quod tuic demonstrandum.
est ongula.
Dicocam aqualem esse pyramidis cuius alcicudo est (emidiamerer HB,
balis rero quadrarum diamerri B A.
duplum esse cam legmenti A FC quam legmenci BF II, hocest, verique simul
PROPOSITIO XXIV.
Aca lic vngula B F. A (inspice fguram propolictoms ICGCMCS) CurS
alcicudo P. P Cic a qualis AB diamerro lemicirculi BF. A qui basIS
Demonterano.
+. Dut. L. C, B. A Fectan u etatscum LHC ccect mlespum procen Plaee
cuius banselt quadrarum A P, alcirudo aurem recta A F, hoc est cuius balis est qua-
in le subalcerne polcum, hoc estin criansulum A C F, libi aequale, producie prrami-
6s. Duc. dem, qux alcerius dimidia b est. Rcqui prramis cuius balis est quadratum AC, alci-
Etop. 47
micircusus Bk A, allctus in lcipium gigme loliaum aequale vngula BF A, curuSal-
cirndo eit Pal uae BHL. erzo pramis culus balis elt quadracum AC, hoc elt
ex conltr. quadrarum diamerri B A, alcicudo vero lemidiamecer AO, hoc ett lc-
midiamerer IIB, aequatur rnsule BF A. Quod crar demonltrandum.
Emicirculo BF. A aequalis AaE semicirculuS A K C, quo perFecto ad extremitares
diametri AC ducancur Cate Mes LH, LC, dameero equales, iuns ancurque
dracum AC, alcitudo diamerer AC. erso criangulum rectangulum F AC ductum
cudo vero lemidiameter A C a C PLaes Ceres aus ee quadracum idem
A C, alcicudo vero cora diamerer: ergo criangulum P AC ductu in eriangUlUI A C F
generac prramide cuius basis est quadrarum AC, a reIO HCMCHAICECE
AO. Acqui isero de ductibus oltensum est eorpus quod hc ex ductutriangulo-
TUM F AC, A C F xequari solido, quod  C cuc MCHC AKC i KsTam.
Frooprramis balum habens quadracum AC, alcueeB A , aequarur lemi-
circulo ARC ducto in Sciplum. Acqui semicirculus AR C, hoc eAt ex construct. (c-
PROPOSITIO XXV
Aca rursum siC vngula BF A alticudinem habens parem diametro
BA. Fiac aucem lemicires  dsao e DEt
etet