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Now, attention, I know that the Greek Thales (624-554 BC). Born in Miletus, so it is best known as Thales of Miletus. stood out was a philosopher, mathematician and astronomer. Around 600 BC, the Greek sage Thales made a trip to Egypt. Pharaoh knew his reputation as a great mathematician. was said, for example, that Thales was able to calculate the height of a building, for most it was without climbing it. By order of the king, some Egyptian mathematicians were to meet visitor and asked him to calculate the height of a pyramid. Tales listened to them carefully and prepared to serve them promptly. In the desert near pyramid, the sage stuck a stick in the ground vertically. Noting the position of the shadow, Tales lay the rod on the ground, from where it was planted, marking the sand the size of its length. Then he returned the rod to the upright position. - Let's wait a few moments, he said. Pretty soon I can give the answer. They stood there, watching the shadow that the stick protruded. At a certain point, the shadow was exactly the length of the stick. Tales said to the Egyptians: - Go quickly up the pyramid, measuring its shadow and add the results as half the side of the base. This sum is the exact height of the Pyramid Absolutely, it's not about tricks or secrets, but a knowledge of geometry, used to solve a practical matter. See how Tales proceeded. At the moment the rod and its shadow are exactly the same size, form a triangle similar to the triangle another which, in turn, is formed by the pyramid and its shade. By similar triangles, Tales deduced that the height of the pyramid is equal to more than half of the shade base. The situation can be represented by imaginary triangles: Being: : half of the base side of the pyramid : length of the stick : length of the shadow of the pyramid : length of the shadow stick height of the pyramid
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Sada, pažnje, znam da je grčka Thales (624-554 BC). Rođen je u Miletu, tako da je najbolje poznat kao Mileta. isticao bio filozof, matematičar i astronom. Oko 600 godina prije Krista, grčki kadulja Thales napravio putovanje u Egipat. Faraon je znao svoj ugled kao veliki matematičar. je rekao, na primjer, da je Tales bio u mogućnosti izračunati visinu zgrade, za većinu to je bez to penjanja. Po nalogu kralja, neki egipatski matematičari su u susret posjetitelj i pitao ga izračunati visinu piramide. Priče slušao ih pažljivo i spremni da im služiti odmah. U pustinji u blizini piramide, kadulje zabio štap u zemlju vertikalno. Konstatirajući položaj u sjeni, ležala Priče štap na zemlju, odakle je posađeno, obilježavanja pijeska veličine svojoj dužini. Potom se vratio na štap u uspravan položaj. - Pričekajmo nekoliko trenutaka, rekao je. Uskoro sam može dati odgovor. Stajali su tamo, gledajući sjenu koja štap virio. U određenom trenutku, sjena je točno dužina štapa. Priče reče Egipćanima: - Idi brzo do piramide, mjerenje njegove sjene i dodajte rezultate kao pola na strani baze. Ovaj iznos je točna visina od piramide Apsolutno, to se ne radi o trikovima i tajnama, ali poznavanje geometrije, koristi za rješavanje praktičnih pitanja. Pogledajte kako Priče nastavila. U trenutku štap i sjena su točno iste veličine, tvore trokut sličan trokutu drugi koji se, pak, je formirana od strane piramide i njegove sjene. Do sličnih trokuta, Tales zaključiti da visina piramide jednak je više od polovice od hladu bazu. Situacija se može zastupati imaginarnih trokuta: Budući da je: : polovica osnovnog strane piramide : duljina štapa : duljina sjeni piramide : duljina u sjeni štap visina piramide