Euler was born in a priest's family. When he was very young, he helped his father transform the sheepfold with "the quadrilateral with equal perimeter is the largest", which showed his father Euler's talent for mathematics.
Dad's flock increased gradually, reaching 100. The original sheepfold was a little small, so my father decided to build a new sheepfold.
He measured a rectangular piece of land with a ruler, 40 meters long and 15 meters wide. He calculated that the area is exactly 600 square meters, with an average of 6 square meters per sheep.
He found that his materials were only enough to enclose the fence of 100 meters. If the sheepfold is 40m long and 15m wide, its circumference is110m (15+15+40 =1/0).
Little Euler told his father that there was no need to shrink the sheepfold, but he had an idea. Father didn't believe that little Euler would have a way. I thought, "How can there be such a cheap thing in the world?" However, little Euler insisted that he would be able to kill two birds with one stone. The father finally agreed to let his son try.
Little Euler saw his father agree, stood up and ran 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.
Run to the other side, extend the original side length15m, and increase10m to 25m. In this way, the original planned sheepfold has become a square with a side length of 25 meters.
Father built a fence according to the sheepfold designed by little Euler. 100 meter fence is really enough, no more, no less, all used up. The area is enough, a little bigger.
/kloc-at the age of 0/3, Euler was admitted to university of basel, which was a sensation all over the world at that time, and was the youngest student in this university.