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See history of mirrors in wikipedia.  tells about scientists what they did in the early days..  about parabolic, convex, concave, mirrors in water filled vessels etc...

People probably first started to look at their reflections in pools of water, streams and rivers which were the first mirrors. The earliest man made mirrors were from polished stone and mirrors made form black volcanic glass obsidian. Some examples of this kind of mirrors have been found in Turkey dating back at least 6000 years. The Ancient Egyptians used polished copper to produce mirrors, and often the round face of the mirror would be embellished with ornamentation. The Ancient Mesopotamians also produced polished metal mirrors and mirrors made from polished stone were known in Central and South America from about 2000 BC. In China mirrors began to be made from metal alloys, a mixture of tin and copper called speculum metal that could be highly polished to made a reflective surface as well as mirrors made of polished bronze. Metal alloys or precious metals mirrors were very valuable items in ancient times only affordable to the very wealthy. It is believed that mirrors made of metal-backed glass this type of mirror was first produced in Lebanon in the first century AD and the Romans made crude mirrors from blown glass with lead backings.