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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 707, page id 1815201908:0764
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# Lines: 73 recognised, mean confidence 0.77
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vi
n
ique
R
 sun
66.
DVCTVS PLAAE EN PLANVM.
II.
la
1
Rianoulum rectanoulum ductum in quadratum, aut rectAH CNCL
EOPOSIEIO
nasquarum communesincerlectiones, inca lunrect.
Riangulum reccangulu ABC
duerum in reccangulum, auc
quadeacum A D P crianigulo in dio
reccum appolicum figuram produ-
DCAE FCF C, AD sdIcO icaque
FAC, EDF PC CF Superticies
CAC planaS, _ GHIE, FRO com.
munes incersectiones, lincas este
rECCAS. DOnanEUE quoTvIS MIL. X,
quidistantes B AD, a reCcA B A
ducca in AD, planum prodocat
AF GD, ECOcUM ad planII ADF C: 1
C
Similicer MII dueca in LP, planum Feia
producac reccanguIUM IK IIL. ad
EectOS ansilOS planO( A DFC, linex igicue  A, K L, recrE quoque sune ad pla-
num AD F C, e incor separallola: quia rero F A L qualiS CA A B, _ TR FCCEX
MT aequalis, ve B A 2d. AI I, id eH A C ad. TC, HC F I ad R C: in direccum ivicur
sUnC PUNCCABE K C: _ F AC superticies plana est. MmMCer OstenOITUE, PUINCES BBEclo
OFIF esse in direccum _ E:D F superticiem elle planam. deinde quia C= D linez mensis.
aequalis eAt. F A, _L. HT ipli KI aequalis, aequi distanc altem F AB H)I, ipHS C+ D.
TIL, recra F C, KHI Cxquales lune AD, IL, e F C, KLL C F lise eodem lunE mena
plano. Triangulum isirux recratixulurri, ee c. Quod erac demonltrandum.
it ri
aie
P. R OP C
Si I
eiuldem alcicudinis; producit corpus, habens quatiox haedras pla-
O
YII.
Demonstraiio.
id
lerlgn
balim haber quadracarri.
Demonstratio.
am inses Camoc BLDDC
dicoillam esse pyram ide qua basim habe
quacracam. AB ducta in le vel in BD ill
planum BCD. Sinilicer ML aucta MM
(e velin FR quadrarum producir rectus
ad planum B C D, chiinisitur exhrypoitic
sI recta BD, F K parallelX liniisx guidil
cplanA BBLB, LVHIR: d ACCL LF
GFF, item VB, GF, de E D, HK par 2IIC
Ia TuInE. _C QuIa L B RGuALUFFCEEX A B d
F E, FCCTA NF; DE A B ad NIF, id est
ad F C, sic. TB ad F C, indireccumtigie el
EUE SUNE F OC, _ LBC superticies cA plana: HIIHICEF OIEEHANNEUE L. II C LI meneum
direccom ese X F D C exllibere superticiem planam. dein de quia L D, F D, icem
GF, HK lnce aequales lunt, et P HI C, L C C linea recieiluperticies ixicur omnes
Praece
Riangulum rectangutum in toduetum, pyramidem producie que
111.
d
CSchol. 18
condecimo.
PRiangulum rectangulum ABC, du
aequalem, quadracum producie, rectum dad
e
 e e u q e e e t.     t t   e te   et    se   it e e e ti e e t t e e e    e  l el l   te  te  e  .  1