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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 737, page id 1815201908:0794
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N PL A N V V
Due hoc scholio dicta sunt, seque etam proposicioni subsermiunt. Carerum maluis
hac demonstrare quam discur su non 2sque adeo necessatio propositionis 39. demonstrationet
Det se facto dsscllem facere prolixiorem.
PROPOSEI
X
AEX SinE RguEX quauis CoNCaca AdECOnHexX ABC, C BO Tubal-
cerne polica, communem habences alelcudinem BC
Dicoilliscorinseribi posse rectangula (HF, lG: _c. S F, TG, _C. ) X-
qualis alcicudinis e basibus in directum positis, velihxc in se invicem
dueta auterantur excoris BAC, C B O criam ductis in lcinvicem, relin-
quarur quanticas data minOr.
Demonstratio.
DRum est ductis parallelis FIR L, RGY
ea paruas ableindi posse ex Aguris ABC
CBO POrTiOnESBHTR,K AC GIBF LO
CCN, velolida excorum ductibusmucuis
naca minora linc limul lumpra quacunque
propolici quancitare, puca dimidio daciso-
lidi Z. Similicer Pacec ex 42. huius, figuris (7
KFIF G, GF L N inlceibi POssC FOEFC.
ctangula, ve iis ablacis, residua RIO
TFP, L. SM, MF N daco quovis plano
lineminora, ac proinde ve solidum quod
Ac ex ductu planOruM RIO, IFTP, in
GF L N, vra cum Colidoquod hc ex ductu
planOrUM LSM, MTN in rectangula
HLF, LCminus sic quavis propolica qu’an-
cicace, puca dimidio Colididari Z. Inscribi
isicur postunetguris ABC, CBO FOErO.
ctangula, ve solida quae tiunt ex ductu pla-
noruM AKOC. HIBF. in plana C OV
BB L. O, d ex ductu planorum RIO
plinorom LSM. nLI il rectangula
FIF LC, hoc est ve solidum quod sic ex du-
Au planOTUM AR GC, KIO, IHIP, HIPL
in AGUTAI COCAII C BO, VIa CAI 1OHAO
FaCtO CX ductu planOrUM L, SMI, NI N:I
in rectangula HIF, IC, Cc minus dato(o-
lido Z. lam vero eodem dilcurtu quo v.
sus sum in praecedenri, ostendam RITF C
ductum in GF L N aquari planis RIO.
TEIP ductis in planum G D L N, vna cum planis L SM, ML F N ductis in ecCtaHBU.
Eoram CBO, XquatUTPlanIS ARGO, RIO, ITIP, TIB si, ductis in tguram cocam
inlupeE HF, IC ducrisCaSat SF, LC. CuarcM ex HgurZ ABC, duccaim
fgura CBO auterantur rectangula dueca in reccangula, residuum erie solidum
+242 3
Facunem Guos to L. MTaCIC
THP, in planum L L NG, d ex ductu
la TIB apet L1L, L dcM lectangola SF, YC. Sed Toca
Agura ABC ducta in coram C BC) a ACLLL. C ducto in G F L N, ac planis
CBO. Viaeu Prans LSB, MII ductis in reccangula IIL, TG aC reCtanBMM
quod
si tu t at e u t s   te t te t  e e tet it et  te e at t   t d  te   t     ta        t t  e   a t   e  e  e    e  t   te