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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 328, page id 1815201908:0385
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=385
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

L. L IPS18.
SeOSITIO CLIX
TuT Per C tangens C L, occurrens AB linex in L. dein reCEX duCANEUF
quordunque FF. parallela linee DB bccurrenres A B linex in HH: &
Virculum ABC cuius diameter AC contingane dux linex AD,
BD Sccances Fele orrosonalirer in V: junctilque punctis AB, 252
aGutates L. C.
CircuLOIM L E. EUIMI PEF P FCCEX ACantuF C KL parallele linex AD Oc.
currences AC diamerro in De NC linea in II. Rarirque FF. lineis
Dicopuncta  e a ep.
irclnsttotibo
T A D Cst ad DB, siCAF
de ElL. ledkdit
aa aequales, igicur d
AF, FH linex aequaneur. qua
FC_ FK, LAIlinex luncequa
les. Rurtum cum SIC VE AF 20
FHI, EC F L ad F FP, CruNEBI.
la cer c xquales: cl
aucem ex construccione e
linca x qualis linea L. C: ixiculi
coca IC, eA xequalis toriBH
Hoc est F A id cA F K, quare
deguacae LR ae guaa
EUM PK, EC FC quadratum
est ad quadrarum FC. led ve
srandum.
TU FR; HC ARC FCctAHB
lum estadrecrangulum ARC
id cst AIF reccangulum al
rectangulum ATF, ieieur r
quadrarum. LC est ad quadr2
cum IG, SC AIL FeCEanOII
cstadrecrangulum A LL
DuarE AOL. Puncca CunE 24
elliplim. Ouod erar demon.
Duod si eadem construccio ad alceram parcem continnerur, pertcietur clliplIs,
alcera sui parce, quae inera circulum cadec. Vbi hoonoraty dignum occurrit, quod
licer circulus de ellipsis sele invicem secenc, eandem camenrectam D A in seccio-
nismucux puncto A concinsant. Ogod enim circulus COntINSAEFCCLaM AD p2.
cet exhypocheli: quod eandem contingat etiam ellipls, in de Ec manitectum quod
omnia perimecri ellipeici puncta lint in lineis Ci K jux incex puncta C et A, WA
D A ducuncur parallela.
eROPOSIFIO CLX
F K quadracum est ad quadea-
11
Ecencleduo clculAbC LC. d Moram sicer L. BL canlea
nex quaecunque EF occurrenres circulo ABC in punctis l’a a
circulo in punctis Cru per G recrx aganeur lilnormales ad lineam AC,
OCCUT.
per E. cencrum circuli AB, junctisq. punctis A C ducantuF ex P li
e t  er st e  s M  t s e t  ut e e te at    e   te pe    t  e       e t     t  e t t   e i    se     e te t e e s  e 1 16  p  1