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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 340, page id 1815201908:0397
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=397
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.85
# 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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LL IPS 13
auTeM VE D F ad BM, sic criangulum
D AL, ad criangulum B AM, e (quia
Parallelae TuntDI, F. R, )criangulum DFP.
ad criangulum BO MI, igicurtriangulum
D AL est ad crianguIum B AMT, vE ID
ad TB, e criangulum D F L est adcrian-
culum BOL ve ID ad TB. ergO torum
criangulum AD F es ad tocum criangu.
Ium ABC, ve FD ad IB. quia aurem
DFT, BR sunc cansentes, criangula ADF.
AB C maxima: (unc eorum quae inscribi
emaiora b le sencorum dimidiis. similirer demonstra-
em. hoctieri poenne cemeeeu ROF olt ad scomencum ABC, vELD ad IB:
curetoce angulum AF B aiCaSI ACE, ve E, F ad F. C, hoc eA ve ID
2dTB. ergororum legmentum A DFli eltad cocum segmencum AB CT F, vE ID
2dIB, hoc est re circulus ad elliplim. Ouod erat demonstrandum.
DiCO ANF Sectorem eAC ad ICCIOreM ANC, ve circulus ADC ad
elliplim ABC.
Pan ex
3.842
uius.
seomentis possune
b 45. huius. Bimus seomeneis reliduis eam circuli quam ellipseos inlcribi posserriangula, quae sine
maiora reliduoruut cscs, ce acteme habeanc, quam ID ad IB. Ouare cum
P ROPOSTTIO CLZXXIN.
AdeMMAMENEC AGUTA AUCATUT Ex CenErO N quaenis diameteF NF,
sdemissaque ex Fnormali F F. que elliplim secet in G, IunganEuFNO.
Demonstratio.
AIBZ. C CFOMenEUM A DF F d eA ad sEBMenCUM AB G R, NE F R ad G B: _ criangulum
182. huius. DF XYF eK ad criangulum GNR, DE F F. ad E F. Ergo ex reliquumnempe sector
c 185. hu. A N F. est adreliquum nompe lectOreM AN C, VE F P. ad O P, hoc est c recireu
ilts.
lus 3d elliplim. Quod erac demonstrandum,
laseottle ebaLa
ICellip(S ABC, _ CIECUTAS
ADC habentes communé
anemmalnapelcclluu cor
mucte Luaeut cua Manteeri
circulilele adangulosrectosin.
cerlecanres, occurrentelque cir.
culo in punctis D, F, G, FT: de
inde ex D _ HI, ordinarim ad
A C applicencur linCR DI, HK
occurrenres ellipliin B d L
IUnganEuTGS F B, L. L..
Dico LFB quadranrem el.
lipleos esse, sicuFHIE. D est qua.
dranscirculi.
Demon-
t   .  s .    u es . e i s e    uue e     1. e t  t. . 1u  1  Et.  u.  1  1   t. 1. 1.    . 1 1 1. Au 1l e  e 1 1 1    1s. pur 1