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BILIJAR
                                                   BILLIARD

     Autor: Stevan Popović, II-8, ETŠ „ Nikola Tesla “, Beograd

     Mentor: Violeta Komnenović, dipl. Matematiĉar, Etš ,,Nikola Tesla”, Beograd

                                                        REZIME


        Izraz „bilijar“ odnosi se na skup igara veštine u kojima se koristi bilijarski štap za udaranje kugli i

    njihovo pomeranje po bilijarskom stolu. Površina stola prekrivena je vunenim platnom (ĉojom), dok su

    ivice (martinele) gumene. Kako se bilijar razliĉito igra u celom svetu, samo ime moţe predstavljati

    razliĉite bilijarske igre u razliĉitim delovima sveta (SAD-karambol, igra bez rupa na stolu; Ujedinjeno

    Kraljevstvo-engleski  bilijar;  Srbija-osmica).  Zahvaljujući  velikom  broju  razliĉitih  igara,  a  i  maloj

    fiziĉkoj  zahtevnosti,  bilijar  uţiva  veliku  popularnost  meĊu  mladima  i  starima,  amaterima  i

    profesionalcima. Svako ko je uzeo štap u ruke postavio je sebi pitanje: „Pod kojim uglom treba da

    udarim loptu?“. Pronaći formulu nije teţak zadatak, ali ja sam otišao korak dalje postavivši pitanje:

    „Šta ako sto nije pravougaonog oblika?“.


    Kljuĉne reĉi: lopta, simetrija, ugao, sliĉnost






                                                       SUMMARY


           The term "billiards" refers to a collection of skill games that cue is used to hit balls and moving

    them on the pool table. The table surface is covered with a woolen cloth (baize), while the edges are

    rubber. How billiard is played different in the world, name by itself may represent different billiard

    games  in  different  parts  of  the  world  (US  carambola,  plays  without  holes  on  the  table;  United

    Kingdom-English  billiards,  Serbia-  eight-ball  pool).  A  large  variety  of  games,  and  a  little  physical

    complexity,  billiards  enjoys  great  popularity  among  young  and  old,  amateurs  and  professionals.

    Anyone who took a cue in his hands asked himself: "Under what angle should I hit the ball?". Finding

    the formula is not a difficult task, but I went a step further by asking the question: "What if table is not

    rectangular?".


    Keywords: ball, symetry, angle, similarity
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