And then there were advances beyond the realms of science and literature. It was not only the astrolabe that came west during the twelfth century. From the 1180s, windmills began to appear across the European landscape—devices that harnessed what we now call renewable energy to grind corn into flour but that depended on an impressive degree of mathematical engineering to build.25 New clocks were invented: elaborate devices powered by water or weights that marked the hours without lengthening or shortening them according to the amount of daylight. From the thirteenth century, scholars like the
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