Which of the following is not true about galileo? a. he was such a brilliant mathematician that he became a professor of mathematics at the age of 25. b. he developed a new and improved thermometer and a better compass. c. he designed a telescope 10 times more powerful than earlier models. d. he was able to prove that ptolemy's theory that the moon had a smooth, polished surface was true. e. at the inquisition he signed a paper taking back his radical ideas about the earth revolving around the sun.