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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 310, page id 1815201908:0367
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=367
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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 0.84
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 e 
350
143.1
esteise
123. hu-
ibid.
P5
demonuratio.
Voniam anguli DFF, E CH
Lrectilune, cransibuncperFi 8
C, circuli DF FBFOFI: CranEIE aU
tem veerque eriam per B: quia Ban-
guli E BH, DB ET lunc recti: isieur
cam anguli DBF, DFIF quam
E B 3 L LLC aDuLI TUnE inEEF CC
aqualesiled angulus DHI L aequalis
cst angulo F HIC: ergo d DBF x.
quacur angulo F BC. Duod eracde
monstrandum.
Scholion.
um punctum B in peripheria al-
sumprum, sit quodcunque sequitur
paratione facta dicuntur. porro haec in eb
lipricis mirabiles habent proprietates. 
ter reliquas placuit sequentem hic au
lineas omnes ex F inperipheriam ellipsi
ductas, reftectendas in C. Quare ex pun–
EtaFC poli seu foci a nonnullis vocan-
tur: quae ab Apollonio puncta ex com–
huneere.
snt te det ellips eos quorum at
C. Dicdiuum per tocu speculum appa
stantia par sit interuallo oculorum, pona-
curque in a oculussinister, es dexter in
gereoculo dextro, in C polito: ex vicissim oculum acatram . per totum speculum vidert
ab oculo sinistro in R. demonstratio patet: species enim ocesi A. per torum speculum diffusa
totam speculi lupersciem aissus.
reflectuntur in C. e secies obiecti C per iorum diffusa restectuntur in A. quare obiectum A
per totum apparedit speculu, demo C. di tum C. oculoA. hunc sequitur quod mini-
mum ex visibu postum in C, manouona apparebit oculo in A posito: quia apparebit per
PR OPOSITIO CXXVII
diplim ABC, cuiusaxis AC _ POMDL CMIZAI L PutCS
FC, iungancurq; Paneca 1IL, CII.
SA, C, BreCtE AF, C G, FC; _ FG quidem conveniac cum AF,
COlineis in F de C. crigatur ex L, linca L. El normalis ad carigoirem
Demonstratio.
Vatislineis P R, P C+ actII
NEUE CUpeF F F, P O di2
merris circuli E FTK, FTG C: 40
circulus quidem FFTH, cum an
Dicoangulum AHIC rectum ese.
suli P IIF, P AF Sncrecti, tran
EibIEPEF FL. L. A. Punctai cicct
lusivero ITOC; cum DHF
E CC anguli quoque recti suI
Cransibit per H, C. crunixicur ram anguli AHI F, A P. F AuI P LLC., F. CC, an
Puie us e te u is e   u s.  ue    u s s  te u e 1u e s  1 e   e  t e e  1 e e e t  1 s 1 A p