When Were Planes Invented?

To us humans, the first flight was achieved in 1903 by the Wright Brothers. But Leonardo Da Vinci was already designing some form of flying objects in the 13th century (it makes me wonder who this guy is and where he got his ideas from). But aeroplane models from the ancient past had been unearthed and analysis by scientists show that these models were in exact proportion to real flying planes. If we do not believe in an advanced civilisation that existed long before us, then how can we explain such facts?
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Even more intriguing is that flying machines (Vimanas) are described in great detail in some ancient Indian texts.

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