Test 1 Solutions - Mathematics 2P90 Test 1 October 2012...

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Test1October2012Mathematics 2P90StudentNumberAnswerallquestionsonthispaper.Calculatorsaretheonlyaidspermitted.1.[2]Euclid'sElements contains postulates, propositions and commonnotions.State and define another wordforpostulates.2.,1.i.\t/-/Zrzi7//FOaA^/trrZnAan!C<-a'zc/rrz"J)--d'/[email protected]'rz'e''-rrfu."r-,1/.o/'*-(7"2ia-ac-L{')-?z€'/-*Lz--<-'-=4*tt'r-{StateEuclid'sfifthpostulate..iyZzo-eioo'4zzrz2t>'ir/'l:ozo77&3.[1]lfall modelsforan axiom system are isomorphic thenthe systemissaidtobeCczZee'zz,r:-.^<-/7t/Page1
Test1October2012Mathematics2pg05'r4JStatethehyperboricparaterposturateandits negation.HyperbolicparallelpostulateFaz/ug?4Z'-rP^(n-n/A./,/-rtc,/rn2,,/r-uanp^/ka-/P,r4*/-2-,.2<po*.&Z,4I4.z,e.Zz74e-an-1//,PJ-4-r=24,4.,*fvL7ea-rd/^4r-nzNegationof hyperbolicparallelpostulate:4r^"z/za/z.k 4-z<-(n'ne/....l.t-/z)4I-,4l"*t-t4-/.=t/atzdoy,//@F,7a*tu//"1'6.ThethreeaxiomsofincidencegeometryareAxiom1r,r-r *rZf<zz-..r/_O".#:./7.-crzzztPo-n/q #*"'-2.'4//L"=.I*-,'Z1.r*Pa-czc/qLnfl -L;cD'tI'Axiom2tr"1-4'*?

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Term
Fall
Professor
SandraYee
Tags
Non Euclidean Geometry, Postulates, Euclidean geometry, Axiom, Parallel postulate, hyperboric parater posturate, incidence axiom state, Hyperbolic parallel postulate

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