title: "Euklid sin h\u00f6\u00f6chdereegel"
text: "Euklid sind h\u00f6\u00f6chdereegel as n\u00e4\u00e4md efter Euklid, en greksen matemaatiker.\n\nSin reegel sait, dat det kwadroot auer at h\u00f6\u00f6chde  faan en rochtwinkelt triihuk j\u00fcst so grat \u00fcs det rochthuk m\u00e4 a lengden faan a h\u00fcpotenuusenufdialen  an .\n\nKurt tuupfaadet:\n\nBewis \nF\u00f6r di bewis br\u00fck wi tau \u00f6\u00f6der reegeln:\n Pythagoras sin reegel: \n 1. Binomisk formel: \n\nUun det tiaknang rochts san trii rochtwinkelt triihuken:\nEfter Pythagoras t\u00e4\u00e4lt:\n\n \n \n \n\nAn do t\u00e4\u00e4lt uk noch:\n\n  \u2194 .\n\nEfter det 1. Binoomisk formel apliaset as\n\n .\n\nUun  woort n\u00fc det iinsaat, wat wi auer ,  an  witj:\n\nDet as tuupfaadet , an diald troch 2 komt \u00fctj:\n\n.\n\nLuke uk diar \n\n Triihuk\n\nGeometrii"