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eddybob123
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hi. I've been working on a project lately about pi. and its unconstructiveness doesn't make sense. can you think of a way to possibly do this?
eddybob123 said:hi. I've been working on a project lately about pi. and its unconstructiveness doesn't make sense. can you think of a way to possibly do this?
eddybob123 said:but can you prove that it is transcendental? I have already come up with a small method.
lavinia said:The construcable numbers are of a special type and do not include all algebraic numbers. Is it easier to show that pi is not algebraic? Showing that it is transcendental seems to be overkill.
The value of pi is calculated by dividing the circumference of a circle by its diameter. This ratio remains constant for all circles, and is approximately equal to 3.14159.
The concept of pi has been studied and used by various ancient civilizations, but the first known calculation of its value was done by the Greek mathematician Archimedes around 250 BCE.
Pi is an irrational number, meaning it cannot be expressed as a fraction of two integers. It is a fundamental constant in mathematics and has numerous applications in geometry, trigonometry, and physics.
Technically, yes. Pi is an irrational number and its decimal representation continues infinitely without repeating. However, for practical purposes, the value of pi is usually rounded to a certain number of digits, such as 3.14 or 3.14159.
The calculation and understanding of pi has evolved significantly over time, with many mathematicians and scientists contributing to its development. From early approximations by ancient civilizations to modern calculations using computers, our understanding of pi has become more precise and has expanded to include its role in complex mathematical concepts.