# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0493
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0493?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 436, page id 1815201908:0493
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=493
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000493.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine
# Lines: 71 recognised, mean confidence 0.78
# 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 47. bu215.
L.X 17.
aiu
5 47. haius.
ibia
i1
EEX 67
BFt el
entis.
PNA R A B.C L. A
 siigoHBM BEAIBCESeL eiI A L
150
DS. Demonstratio.
H 72. hrvicos.
DEcta FIF secet DD lineam in PI, de
AC In I. ve BEl A rectangulum
ad rectangatum BlA a licllL. linea
CA ad linea I P,, id clt F C,; de ve
BND rectangulum ad reccangulum
cBOD, (ICK N ad P C: CA auTCBH A
rectansulum adrectangulum BF A, V
BND rectangulum ad rectangulum
BGD; igitur ve ITL ad R C, SIC RV
ad FG: ad eoque HL, K N aequales
Tune linex; ex dempra communi KL,
manec TT Kae qualis PPV. limilirer octé.
dicur TMT linea aequalis linex FTL: quare VEFTMI ad ALT, SiC HIM CA adTTL: Sed ve
TTM ad AIEsC d A I es ad TC, Id CH A FT ad FTB; IOIEE VE FLMT adETL, SIC AH
2dFTB, id c est FIL. adI. H idet FlL. adHR. proporcionales isicur Cunc HIH. HI.
PR OPOSTTIO, CLXXI
DArabolam ABC cuius dialEcer AD contingae in A linea A F, de-
missaqs ex L, diametro F. C, describatuE per A de C parabOla AFC
cujus diaCTeFSIE A F. ec Concingens AD: dein linea ducatuF G HLPaFal.
lela AP, SCCanS AF C Parabolam in F, de AC. sineam in l puncto; per
quod diamecer ponacur lBIE, iunsancurque BF, IIKL. Nl   RiC
15: 1 2 1 11 8.
Demonstratto.
3
1tccilo (1
c
1 St eit d Et 
DOnacur ex C ordinarim ad diametrumi ADlinea CD.
ratiO RB ad F C duplicaca Fest racionis FTad FC:
similicer ratio FIF ad C D, duplicaca cMtrationis FII~d
CD, id est AR ad AF, id est RT ad F C; iGIEUE ve
RB ad F C, (O TIE ad CD, _E VERB adRI, SiC TTFi
F
ad HL. aequidiltancipicur PF B, H P linex. Quod erde
demonstrandum.
PR OPOSIEIO GLZXII.
Arabolam AB C cuius diameter AB, Con.
cinsar in A linea AF, demistaq; diamerio
FB, qua ABC. parabolae occurrat in B, pona.
cur ex B ordinatim linca BF: descriveaque per
A _ B parab0I2 AG B cuiuS dIAILCEEK A. FB 8
Concingens AD, ducatur ex A linca NO oc.
currens AC. B parabolX, ec lineis BF, DFB 1
C, FI, e 1.
d6191
 ceri euintogmo
DicoA C, AFI, AP, AC lineas esse continue
proporrionales.
Demonstratio.
12
11 313, 107 49hIIY
roniam F B aequidistat concingenei AD) eC PB.
Ldiamerro AF, recta AC h A FL, AYcontinux lune
DEOPOT.
FIM. Ouod tuic demonstrandum.
oBF, Ak lincas aequidictare.
 e e  eti ti t s t e pei t u  e   e te t te t pat se et  t e e    ee  t  ta e e ete te  t st te e est t tat  s te 1e ste e e  s e e e s i e t t t.