title: "Euklid sin kateetenreegel"
text: "Euklid sind kateetenreegel as n\u00e4\u00e4md efter Euklid, en greksen matemaatiker.\n\nSin reegel sait, dat det kwadroot auer en kateet faan en rochtwinkelt triihuk j\u00fcst so grat \u00fcs det rochthuk, diar m\u00e4 det ferlingert h\u00f6\u00f6chde  faan't h\u00fcpotenuusenkwadroot ufdiald woort. \n\nAt h\u00f6\u00f6chde faan en rochtwinkelt triihuk dialt det h\u00fcpotenuus tu tau dialen  an . Sodeng as det ian ufdiald rochthuk  \u2022  grat, an det \u00f6\u00f6der  \u2022 .\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\nN\u00fc stel wi Pythagoras sin reegel am efter :\n\n \n\nDiar saat wi n\u00fc det iin, wat wi auer  an  witj:\n\n \n\nIansis amsteld tu:\n\n an diald troch 2:\n\n.\n\nDet gongt nat\u00fc\u00fcrelk j\u00fcst so f\u00f6r \n\n.\n\nLuke uk diar \n\n Triihuk\n\nGeometrii"