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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 715, page id 1815201908:0772
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M
ett
Led pargelopipeda illa incer se xqualia lunc, cum bases habeane alcicudinibus reci. W
DN D. F A N V. M.
proceproporcionales (nam balis lad balim R CHth AB da C B, Id c ex hiypo
ches P C ad CII, alcicudo ad alcicudinem reciproce) planum igicur I ductum in
M. corpusproduciexquale illi, quod orieur ex ductu K in P. Quod tuic demon-
Arandum.
eRDOEDSIFIOXI
Fquacuorlinex fuerine proporcionalos, ee luper illis criangula in ea-
dem exstructa alcicudine, subalcerne Ponantur.
Dico primum erianculum ductum in quarcum, aequalem: eHferre quan
cicacemillis qua eroducitur ex ductu scoundiin certium
supersidieas E, patalletopipedum producie habets basitu Ks iee alcieudinem L F: - , A. vnde.
Demonstratio.
ee K quidem lecandum, primo I, quar-
cum vero MI, cerrio L lubalcerne pona-
cur; dicoi ductum in MI, Xquari K du
ctoinL. Triangulum I ductum ii Ni
preamidem Bproducie habencem b2-
lem criangularem Le alcicudine G F1.
similicer planum R ducrum in F pye2-
midi aequarur habenei balim K, d alci-
rudinem C D: Sed prramidesille incer (e cx quales sunc; cum bales habeane aleieu- C Fx 14.
dinibus reciproce proporcionales; corpus ixicur quod emergie ex IduCtO in M, X- rndocimi
quale escorporiorto ex dueru R in L. Ouod crac demonstrandum.
PROPOSITIO XIV.
∞A
VPCE AB, FF, CD, OFI TinEIS
dproporcionalibus, in cadem consti. 
cuaneur alcicudinc eriongula L, R, L, MI:
poctionales; lacera verdsa danous opponucu sidetu egulanten.
Dicocorpus quod exlurgic ex ductu primi plani in quartum; xquari
corpori orro ex ductu secundi plani in cercium.
2
TAbcaNEA, B, C. Ds trapezia 
LLineadem alcicudine consti-
tuca, bales HO, PO, RS, Y
proporrionales, aLF, OII
IK, L. M lincas basibus aequidi- ies
cances, in eadem cum basibus
proporcione. dieo prattuu s
duerum in planum D, aequari B
duccom C: planum A ouClMM
iit B, Corpus producse HaBCNS 
Basini plalaM A, X dlcuamem l’V. limilicer B duccumme. Corpasgcherac na- aibid.
bens basim B de alcicudinem F V, sed corpora illa, incer Cc xequalia uma quIa bales
habencalcicudinibus reciproce proportionales; planumisicur A duerum in D ae qua-
cur plano Bducro in C. Ouod tuic demonstrandum.
Raperia quatuor in caco luaHe, Bales habCant pro-
de candem seruent cunt dalibus proporrionem.
2
1I
it
13
etit  t  eti
u uui u s i  e t e  i ta 1. e ut i