MTG4212text

MTG4212text - E uclideaneometry G Thc s ubjectr natrero f t...

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Geometry Thc subject rnatrer of thrs boot rs non-Eucldcr one m-usl know wna, Euc,idean Beonre,r), . "i].;llil'Jll 1i,,.;liJlil.lJ,llil;li::;i::,T::.: mofe.dimculr task th.in it ,nirhr lpp.af rniria,) r,, r:,",. ;, ."1 .*r,'",r,,"i"t";: ;;,;;;":;;;:,., ," produce the vaflou! cunEnlr] accepred desc prions. sirtch are ari based on rhc rerarnerr recenr wort ofDavid Hitberr o86: 1e.'.r). Nee,ess ro s;). fu*. g_.,.",r,,,. ;;; ;;;,;;;:;;;1";'i::,,"", to be deficient and op r for ye r orher char.acter.rzatrons l| new o I rhesc cons jde.ar ions, the rcaders ura\ no, be \umri .ed , , ,e.,r nd,,r,. Ju,r. . n., .hJ,en,,,e\.,r_ ".,. .,";'',_.:; ^l^ . ::l',. ."".,' shofthisror).or rhe subjec, -o - ,".,",0"o u",.i.ii;:i',",Jft ili:.ll''''t, rroridi,rg rheor s'i,h:r Ill An lntroduction to Euclidean Geomerrv Geomctrf in rhe sense ol mensurrrion of ti!ui dates back to "*l mrr"""i,'"i ii"',i;",ii " T ip"lll"**'rl de\ eroped bI malr) cuhurer and :i:I,l.r *,"''r,, ;:;;;; ;i""iil:;:;"11.:;:nil j; J,i,iJT, Ii,i .J,li.: ::ii"Jll: reason, was-creared by rhe G.eeks. Hrsrrlrrlrns asr.e rhar rh€ orisn of gcomerr) ."" t". ,.,"J i".* ,,, tlre hres of Thates ol Milerus Ncirher rhe .\ or.r,i. -*npr,,r,,""u,, r*.;;;-;::;#;T,:i:::il'ii:i,li i':filiijlli:'J:Jjli,J,il: eclips€ of 585 Bc. jr is believcd thar hc ln.ed dunnr rhc ;jrrh cenru,- ;it ;,i,,ili;."il;, ".." probablyt'om 'Lrd forrotrel in m.uv orher counrries.rntt cenrurres 1, r, fr ,,,,rr. ,t,"i r," "". ,- : ro a:uti.e |har borh iound his conr burior\ uselut a|d cared ".,g1 . p,",o.]. ,r,.",-i,, ,n" luture by ilcorTrorarng them rnro i(s cd!carionor sj.sren s;me rrrc creete orihi o"r *r-,'. .^-e both the denrocraLjc tbrm of governmenr and $e idca of r trrat ht " r,I .r p."., ,, "",;,,p*"r,. to. .e\ e.) ciLizen rhar he slr(jutd be abte ro argn. borl cogurr4 ura perurLsiverr. or,;"" ,r," ,ii" ,. srxtr cenrury Bc, rtre rask of edu.auns rhcif r.e'o{ uar.n". ,u rt " ,ii',' ."qo,.;,t il,i ;;;; ;;t,t."l s),slen u'a\ assmed by rhe Sotirjsrs. t.hel $.er€ irrneranl pedagogucs "lro -ra.,rc, f,n.rn*,ry rrarnng their pupls mos t rn rhetorjc. Since rheJ i,,, r r,, nr, tl. ,1,,,,,.u,,n "";l ; i:,;,.",;;;:,r,., of Seometry,ro be useful rool\inlhis rairnng. tnrlc, L,erLrontofndanr.hcrnrh.ircLrni.utur,uno was .eser red for psteriry It js let lillelt, rhat DemocrirLr\ (ca 4t0 E p.om,rgar" an ,to.i" tn"",, ;, ;.,,;;,;;,;i ;;il:,:,::1:,,illlli,ll':"Ji:fiil::[t:TJ; schoots. rr is n,ore than liketl. hou ever that hrirlen,"'*,.";, *" "; ,,lii 1,;l ;..,:;;,,"*' " Eudo.\us (408 355rBc) wa\ one of rhe Urs
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This note was uploaded on 11/27/2011 for the course MCH 108 taught by Professor Penelopekirby during the Fall '08 term at FSU.

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MTG4212text - E uclideaneometry G Thc s ubjectr natrero f t...

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