last night i could'nt sleep so to changes my ideas i go on to deal whith some mathèmatical problem which lead me to the "pythagorian equation" ( integers n,m,p for wich n^2+m^2=p^2) as i could'nt solve it i went to see on wikipédia and i fall on the géometrical demonsrations of the famous pythagorus theorem(the gèomètrical one) and i was very surprise to saw so many lines on the various dèmonstrations that where proposed so i remembered one of my teacher making a very simple demonstration so i can suppose pythagorus did do the same

so here the riddle (i post this on game on puzzle section because i dont need the solution, i know it!) : how many line did pythagorus drew on the sand to demonstrate his (futur) very famous theorem to Clèopatra in order to avoid being eaten by her lions?

subsidary question : How many times shall a mountain must stand, before it is washed to the sea?