# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0360
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0360?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 303, page id 1815201908:0360
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=360
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000360.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.86
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

atd
20
IIdem posiris:
E L LIPSIS.
PROPOSITIO CXIV.
DiCOIHE, L M E criangula cMexqualia.
Demonstratio.
VCaTUE ReCta AB quX F P lineaM seCCF In NV: ex ex B reCtX duCAHEE RO; FP,
normales ad lincas FII, LM. Quoniam I. Mlinca a. quidictac ipEF P (est enim
LM cangetiS, d FP. coniugaca ip A F. C) erir angulo F F C xqualis angulus F G P.
eodem modo eric angulus OFF. aqualis ansulo F P C. quarc anguli OFP, F, C P
sunc incer se xquales: sunE aurem F. P G, FO F anguli recti; isicureriangula P O P,
E FO similia. quarC VE B C ad F F, SiC P. P ad P O. sed est a VE F C ad R F, AC FTTa HO. ha-
ad LM. IBIEUE VE P P ad OP, Sic reciprocd HII ad L. M. ergOPHIE, L HIMcrian- ino.
Bula lune xequalia. Ouoderar demon ctrandum.
PRODOSITIO CXV.
IIdem positis criangulum E. G MI, criangulO P FL, _ F. C. L. eriangu
lum, criansulo FF H xquale clt.
Demonstratio.
SCenimbrE HF ad FT, AC L G ad GM, _ ComponendODE FTL ad FP, SICL. MI BMI. hnim.
ad OMI: sed estve ETI ad FiL, Sic FTTF criangulum ad criangulum EIF, e ve
TM ad OM, SIC P P M criangulum ad criangulum F GM; igITIEVETITE crian
sulum aderiangulum FPF, SIC F L M criangulum est ad criangulum F CNI, d Per-
mucando ve FIIF criangulum ad criangulum R LMI; Sic F LL criangulum est ad
criangulum F GTMI. quarC F PF, F. CMI criangula sunc aqualias eodem modo
octenduncur reliqua F. C Ius II F P aequalia.
PR OPOSITIO CXVI
T elliplim AD C dux secent diamerroru coniugationes AB, BC; F. B,
BD: aGanTIITGUC PEF A, F, C. contingentes FC, FY I, IEL que diameeris
quidem E B, BD occurrat in C, IE, F, L. diamerris vero AB, BC, in HI e I.
Dico criangula FGB, HBI, X L. B esse inter (e xqualia.
Demonstratio.
Am eriangulum BPF caequarur criangulo
BRC; hoc est per TIS. huiuscrianou-
l0 BF A: de criangulum BHE, d aquaTUE
riangulo C AB: ergo criangulum torum
BTFI aequatur eori BF G. quare cum eriam
iGB. EKBL aequalia linc, liguer eria crian-
suta este aequalia.
er 0105111O CXV
im cpicos ale alametriconusa-
Dex AB, BC; e ex puncto aliquo
inter A e C atumpro, (cilicet D duca-
TUT TANSCHS D E coniugatis AB, BC
c70. huins
uato
prO-