# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0400
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0400?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 343, page id 1815201908:0400
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=400
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000400.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.86
# 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.

erit
DTr
EL L LPSL
5
343
ve DC cltad ON: sunc aurem anguli DCS, ON T rectisigitur criangula DCS.
ONT sunc similia, angulique DSC, OFN aequales: quare ex anguli DSL
OT P illorum dupli suncxequales _ DSF, OT P sectores sunc similes, adeoque e
SEGMENEA DBF, O L P sunc limilia. igicur ve sesmencuO F P ad circulum L,OM, li0
lesmencum DB F ad circulum D B A: sed eciam ve scomencum OL. P ad circu-
lum LOM, SIC ScEmencum a O FR ad elliplm. quare ve segmencum DBF. a+
cirgulum AD B, SC O I. R segmencum est ad ellipsm FL G, hoc est ex ContrU- ius
ctione segmencum TC,K ad elliplim FP Ci, e permucando cA sermeneum DBP
adscomentum IOK, vecirculus ADB ad ellipum FP. C. Duod crac primum.
Sic iam Cermencum DBF ad scomencum TCK, ve circulus AD B ad ellipsm
E LR: dico B S, C F lincas in C _ FI, proporcionaliter esse divilas. POn AnEuF CA-
demomnia quae prius: Ouoniam est legmentum D B F ad segmentum FGK, id est
OIR recirculus AD B ad ellipsim F L. R, ex permucando DBF. sermeneum ad
2. ha
circulum ADB, VESESMENEM O L R ad cllipsim F L. R; siC auremB et OY PB shil.
seomentum ad circulum OLMI, ve OL R seomencum ad cllipsim F P R, cric vese
ementum OL P ad circulum P. OM, SiCD BF segmencum ad circulum ADB.
Duare _ sectores DS F, OT P sune similes d anguli DSF, OT P adeoque _
illorum dimidii DSC, OTN xequales: sunc aurem et anguli D CS, ON T recti;
ixicur criansula DCS, ONY similia: _ ve DS ad O I, id est BS ad L I, SC
SC ad NT. quare BS. L T in C ee N proporrionalicer lune divilx. Scd cum per
constructionem segmenta OL R, IOK sinexequalia, erie ve L Y in N, SiccC F cs2. bniuni
dinila in H. isitur ve BC ad C S, sic OTI ad H Y. Ouoderac demonstrandum.
PR OPOSTTIO CEXZEVIII.
Sio ABC ellipleos sexmentum quodeunque ABC, sumacur
aurem incirculo D F F. Scgmentum DF F, quod ica se habeat ad
luum circulum, ve AB C segmencum ad ellipsim suam: dein- ABC.
DE F segmentis triangula inscribantur maxima ABC, D P F, divililq
AB, D F. lincis bitariam in LI et L, agantur per H, et L, diametri C 1,
KM.
Denon
Do illasin H e. Propraet esc lcctas.