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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 781, page id 1815201908:0838
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=838
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.81
# 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.

HII
n
106.
Dico
TN PE A NV HI.
e ee alcicudinem BF, unacum HP duco in le.
Dico PIditecan le corous prolele equale it esude valiabet
Demonstrario.
TTPML Palalscla dd AC: sectangulum
FTLEM aquAle cA quadracO P M SE re-
ctangulisMPHI, PMI hoc CAHPMEC-
etangulo bis lumpro. addico isitur com
mumiquadraco HIP, rectangulum H IPM
cum quadraco HIP aequale est quadracis
TTP, PM rna cum rectangulo TIP M bis
Cimpeo, led _quadracum HM id cA PY
aequale cA quadraris HIP, PM vna cum
rectangulo FIPM bis sumpeo quadraca, isieur FTMI hoc CA P Y aequaneur rectan. Ba. secun-
gulis LITPM, una cum quadraris IIP. quaxq HI M sive PF b ductum in(C, CCOF- di.
pusproterexquale illi quod oritur ex ductu HL IN PNE VHA CUM COTPOTE OREO ex CCollsirus
FTP ductoin lc.
Corollarium.
DRopoliciohxc omnisectioni connenie: illud camen obseruandum, ve in ellipK AC
linea scaxis: in parabola vero ex hyperbola, Ac A C vna ex illis qua ad AXCMOF-
dinacim ponuncur. verniformicas in omnibus lCrucEur.
KorOstEtCa
. 
DEmiccatur ex L. a LM agu
Aans BF. Ducancurque linex inAnice
dua HO. O Contemtentes in l, a BD gulaeim aequidiet Hl
diamerro: iunsanturq; contactus A e B.
leesecorporihabenei balim P. F. d alticudinem AC.
Parallem a LLL
Emicirculum AB C cuius diameteF AC, contingane in A ee B linex
Dicocorpus orrum ex ductu E. C in serna cum P. F ductoinse, xqua-
Secunat.
Deculiatur rectangulum DAC. Du-
Demonguratio.
cancurque linca quocuis F F C: TIF
cur pencto, aequales inter se crut: qua-
Fe da A F lineiS aqualeS SUINE F O, e
cur quadraris AB, eriam aequalla luC
quadraris F C. addiris igicue commu.
nibus quadracis LL CCMaFL IL
ona cum quadraris F F aequalia tunc quadratis RF, P G: se d R B HI rectangutis vna
cum quacraris FF, id cst ond cum rectangulis F F. HI I xqualia Cunr rectanoul2
OB concingences ex eodem cducun-
AF. Guactatts a GuaMa Gladraca L C
rectangula iBIUE FF EI quia aequan
d
Collieie
inserua Cl Si F. ducoat asualla lunc corpori habcl al e e  4b. Brius.
nem L.L hacit AC. uodclat demonheandum.
FiFP: rectansula  LL asa Guaa LL, L CF. Gtate L C ductum CColligirur
3532
os e ut e u es e e te ta e tet i es  te t ste e ti u  i6
1 3   . 1  i e . . ue e e  t . 1