From artnoage@yahoo.gr Thu Sep 20 14:32:38 2001 Date: Thu, 20 Sep 2001 00:01:50 +0100 (BST) From: baios lashos <artnoage@yahoo.gr> To: solutions@fourier.math.uoc.gr Subject: lush tou 7 An h sokolata den einai tetragoni diladi an ta m kai n einai diaforetika tote mporei na nikisei o prwtos paixths akolouthontas thn parakato diadikasia.an m>n(den uparxei Blabh ths genikothtas an n>m)tote o prwtos kovei ena komati (m-n) x n wste na apominei ena tetragono komati sokolatas (m x m).se kathe kinisi tou deuterou paixti o prwtos kovei ena kommati tetoio wste auto pou menei na einai tetragono efarmozontas thn arxiki diadikasia.meta apo kapoio peperasmenou plhtous kiniseis o deuteros paixths tha kanei thn mia pleura ish me ena .opote o prwtos paixths kovei to kommati me to sapouuni kai trwei to allo,opote kai nikaei.an m=n tote nikaei o deuteros paixthsakolouthontas thn idia diadikasia. (Apodeiksh sto giati anagastika o deuteros tha einai autos pou tha kanei thn mia pleura ish me ena:an meta apo mia kinisi tou deuterou minoun (k x l) kommatia tote meta thn antisthxh kinisi tou prwtou tha meinoun(min{k,l} x min{k,l}) kai an k,l diafora tou 1 tote kai min{k,l} diaforo tou 1.