8ee m!!tremw apo thn agwnia

gewmetria shmera, ti tromara 8ee mou! epese sth 8ewria h apodei3h tou 8ewrhmatos pou leei oti "h diamesos pou arxizei apo thn korufh or8hs gwnias or8ogwniou trigwnou isoutai me to miso ths upoteinousas" kai den thn eixa diavasei KA8OLOY.
kai epese KAI ena 8ema pou vasizotan sto porisma twn 30° pou prokuptei apo to parapanw 8ewrhma.
ekana ola ta upoloipa, eftia3a kai ta sxhmata apo auta ta 2 8emata kai polu apla kapoia stigmh stamathsa na prospa8w na 8umh8w kai arxisa na prospa8w na skeftw.
apotelesma? allh apodei3h egrapsa

eida sto vivlio twra pou gurisa oti gia na apodei3eis to 8ewrhma eprepe na fereis apo to meso M ths upoteinousas, th diameso tou trigwnou AMG (alfa-mi-gama) kai xrhsimopoiwntas to 8ewrhma twn meswn pou leei oti "to eu8ugrammo tmhma pou enwnei ta mesa duo pleurwn enos trigwnou einai parallhlo kai isoutai me to miso ths triths pleuras" na apodei3eis oti ektos apo diamesos einai kai upsos. ara to AMG einai isoskeles, ara AM=MG=BG/2..
egw omws DEN to 8umomouna auto..opote..efera apo to M YPSOS MK sthn AG..kai apedei3a oti einai diamesos xrhsimopoiwntas to as8enes 8ewrhma tou 8alh...Efera parallhlh sthn AB (epomenws kai th MK) pou pernouse apo to shmeio G kai afou BM=MG, tote kai GK=KA...
afenos eimai polu perhfanh pou to skefthka monh mou, den mou to 'xa

afeterou, elpizw na mh mou kopsei monades epeidh den einai opws tou vivliou..konteuw na SKASW apo to agxos!

sthn askhsh me to porisma twn 30° eutuxws den h8ele na to apodei3oume to porisma

en tw meta3u, oute kan 8umomouna ti elege to porisma, efaga flasia teleutaia stigmh kai xwris na eimai kai polu sigourh egrapsa gia to isopleuro trigwno..eutuxws panagia m, to petuxa

staurwste ki eseis ta daxtula na exw paei kala...