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# The history of the concept of limit

He suspected the craftsmen used or mixed cheaper metals during its crafting to cut costs, yt he had no way of proving this was the case. I response to his personal query, h offered a reward to anyone who could solve this conundrum. Achimedes dared to take on this crowning dilemma. Te legend has it; h solved the puzzle when he was bathing. Wile in the tub, h noticed, a he stepped into it, te levels of water on the side of the tub rose as he stepped resided and he stepped out.

H connected the submersion of his body with mass and spacial displacement. H then realized that the mass of objects and the displacement of water when they were submerged was the key to solving the crown problem. Uon striking upon this notion, I is said, Achimedes leaped from the tub in excitement and raced naked trough the streets of Athens, souting eureka (the Greek word for I found it) all the way to the Kings Court. Tis instance, prhaps, lunched Archimedes study in area, to the knowledge we have today in the concept of limit.

Oe of the concepts Archimedes was interested in was finding the value of the diameter and volume of a circle. I was during this research, h founded. (n numeral terms 3.14) This symbol is as recognizable in mathematics as the sun is in the sky. Tis number is special in the fact that the decimal places never end. Dring his spherical research, h split up the sphere into several slices, wich he attempted to find the of.

was during his efforts in finding; h started work of the measurements of parabolas. Dring this study and slicing, h proved the area of a parabola is four thirds the area of a triangle inside out. H computed the area of the parabola by enclosing a curved figure within a bigger one with straight edges. H then took the splices of empty space and measured the volume of each, uing the concept of actual infinity. Sdly, sveral centuries later, ater the fall of Rome, Mth and science into a age.

N new concepts were discovered outside of Arabia and China and many important works were either lost or destroyed. Frtunately, crtain monasteries copied the old texts. Tese texts were discovered by later generations, sarking a Ressaisance in thought and discovery. Dring this process, tese men started pondered on the concept of limit and started to seriously study it. Mn who contributed to this study include: Iaac Barrow, Perre de. ..

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