An emperor in the Far East was growing old and knew it was time to choose his successor. Instead of choosing one of his assistants or his children, he decided something different. He called young people in the kingdom together one day. He said, “It is time for me to step down and choose the next emperor. I have decided to choose one of you.”
The kids were shocked! But the emperor continued. “I am going to give each one of you a seed today. One very special seed. I want you to plant the seed, water it and come back here one year from today with what you have grown from this one seed. I will then judge the plants that you bring, and the one I choose will be the next emperor!”
One boy named Ling was there that day and he, like the others, received a seed. He went home and excitedly told his mother the story. She helped him get a pot and planting soil, and he planted the seed and watered it carefully. Every day he would water it and watch to see if it had grown. After about three weeks, some of the other youths began to talk about their seeds and the plants that were beginning to grow.
Ling kept checking his seed, but nothing ever grew. Three weeks, 4 weeks, 5 weeks went by. Still nothing. By now, others were talking about their plants but Ling didn’t have a plant, and he felt like a failure. Six months went by–still nothing in Ling’s pot. He just knew he had killed his seed.
Everyone else had trees and tall plants, but he had nothing. Ling didn’t say anything to his friends, however. He just kept waiting for his seed to grow.
A year finally went by and all the youths of the kingdom brought their plants to the emperor for inspection. Ling told his mother that he wasn’t going to take an empty pot. But honest about what happened, Ling felt sick to his stomach, but he knew his mother was right. He took his empty pot to the palace. When Ling arrived, he was amazed at the variety of plants grown by the other youths. They were beautiful–in all shapes and sizes. Ling put his empty pot on the floor and many of the other kinds laughed at him. A few felt sorry for him and just said, “Hey nice try.”
When the emperor arrived, he surveyed the room and greeted the young people. Ling just tried to hide in the back. “My, what great plants, trees and flowers you have grown,” said the emperor. “Today, one of you will be appointed the next emperor!” All of a sudden, the emperor spotted Ling at the back of the room with his empty pot. He ordered his guards to bring him to the front. Ling was terrified. “The emperor knows I’m a failure! Maybe he will have me killed!”
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To read the previous part of this story, click here. Rather than using geometrical methods, as Ptolemy had done, al-Battani used trigonometrical methods which were an important advance. For example...