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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 325, page id 1815201908:0382
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=382
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000382.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

dqua
ca18
1DC
Aede
O
EL L LF 3+3.
LR OPOStLIOBLCCL.
IVper ABC Temicirculi diamerro AC rectangulum aclcHDATUE
AF: ductilque lineis D G parallelis lateri A E. quxe circulO OCCUErANE
in BB, ducatur quaeuis lK parallela rectae F. D occurrensD C lineis in
L L. Racque ve AI ad IE SiC B FI ad FID.
Dicopuncta HH elle ad eandem ellivlim.
Demonstratio.
TF AB ad AL, HOCCA CD ad
LD, AC BD cstad DH, 1gi-
cur permurado diuidendo, icerum-
que permucando ve GB ad L TI,
Ec B I ad DFI, acqui B D est ad
FID, De BD ad FID, sunc enim
ambae raciones BD adHID, Cx-
demracioni A F ad TF. quarC ve
EB ad T. II, Sic GB ad L FI: _
permucando ve GB ad GB, siC
F. FTad L. II: _ vE quadracum G B
ad quadrarum GB, SiCL II qua-
deacum ad quadracum L JI: CA au-
tem requadearum C7 B ad quadra-
cum GB sic A C C rectansulum ad rectan Buu A G C, Id est LE. K. rectangulum
ad rectangulum IV K, igitur ve P FI, quadracum cst ad quadracum L. FL, lclL. R
rectangulum eA ad rectangulum IL. R: quarc a F LL puncta Cunc ad ellipum. uod 2 Xbid.
exar demonstrandum.
P R O F 0SHAO CF
VIE ABC legmentum circuli quodcunque, cuius A C subrensa, diui-
D Carccunques in DD, crisantur ex D normales D B, AatquC VE BD
ad BD SIC LD ad F. V. 1, i1
Dicopuncta F, L ese ad elliplim.
Demonstratio.
DErtectosemicirculo AB C: ducaeut.
CH diamecer circuli EBFI Paral-
lcla lineae AC, qux BD, lincas pro-
ductaslecerin FF: Aacque veBD ad
D Eis sIC FD ad DR: Tum CX C &
EI rectae crigancur CL, FIM paralle.
lx lineis, BF secances KR lincam in
T ec M. Duoniam est vE B. I ad DF.
AC d F dd DH exixpermutando, ve
BD adF D, sic, D B ad D K. Acqui
BD est, ad D R, VF BB ad DB. 181
cur vE DF ad D, K, sie D L, ad DR; quare puncta R. R ad candem lincam, de
quidem parallelam linex C. FI. Kursum cum sic ve BD ad DF; ita F. I ad DR,
etccbponendo ee permurando BF ad F R, VE D F ad DK. igitue De BF 2d
Lt ACiBFi aet L, t. _ pup sum Permurando, vE BF ad B B, siC F. K ad F. H. XC VC qua-
e al la tat
sti