When Gauss grew up, one day, the teacher was very busy and asked Gauss to go home and do a difficult problem by himself. What's the problem Is to draw a positive 17 polygon with a ruler. Gauss looked at this problem when he got home, and felt that the teacher had made such a problem, which may be a very common problem, but I won't do it now. I can't help it, maybe it's because I'm still an idiot. I can't just give up. I want to think hard and pursue unremittingly. I lit the lamp, gestured to myself, drew and threw, threw and drew, and stayed up all night. He finally succeeded! He was very happy himself, so he went to the teacher. When the teacher heard that he did it, he laughed hysterically and said, a bunch of top students can't do it. Who are you kidding? However, when Gauss explained his thoughts and practices with justice, the teacher was speechless. Why? Gauss did the right thing! The teacher threw herself at him at once! I believe I will make great achievements in mathematics in the future. Keep trying. Gauss seems to understand. Later, Gauss really became a mathematician and was called the prince of mathematics. After his voyage to the West, people solemnly carved a polygon of positive 17 on his tombstone to commemorate him.
Euler is a famous mathematician in the history of mathematics. In number theory, geometry, astronomical mathematics, calculus and other mathematical fields have outstanding performance.
When Euler was a child, he helped his father herd sheep when he got home. He read a book while herding sheep. There are more and more sheep at home, reaching 100. The original sheepfold was too small, so my father decided to build a new sheepfold. He measured out a rectangular piece of land, 40 meters long, 0/5 meters wide and 600 square meters in area, with an average of 6 square meters for each sheep. When he was ready to start construction, he found that his materials were only enough for the fence of 100 meters, which was not enough at all. If the sheepfold is 40m long and 15m wide, its circumference is (40+15) × 2 =110 (m). Euler's father was very embarrassed. If he wants to build the sheepfold as planned, he must add 10 meter of material. If the area is reduced, the area of each sheep is less than 6 square meters. Little Euler told his father that there was no need to increase materials or shrink the sheepfold. He has an idea. Dad didn't believe it and ignored him. But at the insistence of little Euler, Euler's father finally agreed to let his son have a try. Little Euler hurried to the sheepfold to get ready to start work. He shortened the original side length of 40 meters to 25 meters centered on the stake. Then the original side length15m was lengthened, and10m was increased to 25m. After such changes, the original planned sheepfold has become a square with a side length of 25 meters, with an area of 25×25=625 (square meter).
Dad built a fence according to the sheepfold designed by little Euler, and the material was just enough, and the area was slightly larger than originally thought.
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My father was very happy and proud of having such a clever child. Father thought it was a pity to let such a good child herd sheep, and decided to let little Euler study hard. 1720, little Euler became a college student in university of basel. This year, little Euler 13 was the youngest student in this university.