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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 7, page id 1815201908:0064
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DO FL N FI A.
Constructio ex demonstratio.
EVDeE AC ve basi constimacur criangulum rectangulum AB C, habens ad B
Drectum angulum, _ Cx B demicratur linca B E Conticuens AIIV IIum P B C Xqua-
lem angulo D BC; DCCULECNS AC linex in F; dico tactum esse quod peciEur.
uoniam anguli DBC. CBF. per constructionem lunc intet e a guates, e AB li- 3
neanormalis adrectam BC, 2 erir AD ad DC ve AL 2d L C. dala BMMC
A C, adiccimus, ee c. Ouoderat postularum.
P E OP OSIFIO Y
Sto ABC trianguli balis AC, in
D bitariam divila, innetisque BD
ponatur per B linea BF parallela ba(I
AC: cum in LB linca, punctum Ca-
matur quoduis F, ex quo linea demit-
taLUE E C, OCCUErONS AB linex in (1,
_ rectae BD in F; dein ex C recta cri-
sacur CH, Sccans orthonalicer lineam
AB in FI. iungancurque
puncta LIF FFI.
Dico angulos FHIO,
FHC elle incer lexquales.
Demonstratio.
VCaEUX Per G linCA RL,
Parallela rectae IIC; oc-
CurreNS TTE lincx in R, _ FTY
recta in I. Duoniam isitur
ITC. RG, lINCX SUNE
Parallela, CFIE VETTC
2d RC, SC C. F ad
EC: sed ve C F ad 
FO, CCFaeAadF Cr
IBIEEVE TTC ad RO,
sC CF ad FCr: CA au-
Tem VE CF ad, FiC, GC
HC ad CL, igicurve
HIC ad KO, siC ITC
est ad E+ Li quarER C.
GL. linex (unC InCCE
Ce aequales. Rurlum cu
TTC linex, aequidistce
linea RO, CIE aurem
e TTC normalis ex
typocheli ad rectam AB, erit ex R C linea perpendicularis ad lineam AB, adeo-
que anguli FPOR, HOL recti; igicur cum ITC. G I. linex duabus lincis II C
CR luncxequales, e anguliillis concenci recti, crune ITCR. HIOI. criangula in-
cer lexqualia ex limilia, ec anguli PHC, FHI Cr aequalibus lineis subrenti, ae qu al e5.
Duoderat demonAtrandum.
bnius