Beroende p a hur tv a punkter v aljs p a kubens sidoytor kommer kortaste v agen mellandessa att passera olika sidor. Det visar sig att, genom att m ata vinklarna mellanpunkterna via n agot av h ornen som ligger p a den gemensamma kanten, kan vi avg oravilka sidor kortaste v agen mellan dessa punkter passerar. Om b ada dessa vinklar armindre an 135 s a kommer det alltid att vara n armare att g a raka v agen over den gemensammakanten. Annars ar det n armare att passera n Agon tredje intilliggande sida.Om punkterna ligger p a motst aende sidor kommer samma 135 - resultat att g alla.Mest avl agsna punkt, givet en punkt som har avst and a och b fr an n armsta respektiven ast-n armsta kant, kommer att ater nnas i koordinaterna ( 2b?2b2+a3?2a ; b) eller( a+b?ab?b22?a+b ; b) beroende p a olikheten 2b?2b2+a3?2a < a+b?ab?b22?a+b .

There is an old saying, that after Epaminondas nothing was ever the same again. In this thesis I will focus on three questions: "Epaminondas the man." Who was he? "Epaminondas the general." How did he change the technique of warfare that made it possible to beat the Spartans? "Epaminondas, founder of cities and wall-builder." How did he build the walls around the cities he initiated, that made them resist enemy attacks for many years to come?While seeking the answers to yhese questions I will make a contextual analysis to get the historical background to all the phenomina involved..