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thickhead wrote:

The depiction is not convincing.

?

**Aeronaesis**- Replies: 2

This is a depiction of why the numerals that we use look the way they do:

However, these symbols were designed for base 10. In computer science, the hexadecimal number system is used, but with the letters A-F representing 10-15. Should we replace A-F using symbols similar to the Hindu-Arabic numerals to make the system more meaningful in terms of mathematics? Hexadecimal looks rather strange with a combination of letters and "numerals." In fact, there are times where it's not obvious to tell the difference between whether a letter is a number or a variable. E.g. Is 5A a number or 5 multiplied by A?

Mathematicians also have this urge to try to convince the public to use the duodecimal system (base 12). Would base 12 look less "mathematically aesthetic" if letters or maybe manipulated versions of the Hindu-Arabic numerals were used?

Just some thoughts on this topic.

Let

be the area of the outside segments.Assume that

This would mean that

Or that

Which is a contradiction, because the area of a circle doesn't equal base times height.

Monox D. I-Fly wrote:

Fractals. I have read that Golden Ratio also consists of these things.

The golden ratio does consist of these radicals, but they are of the form

The formula I showed is a useful way of simplifying radicals of the form

thickhead wrote:

you can create such radicals yourself from equations like x^2-x-2=0

Create?? Why would you need a quadratic to do that ?

**Aeronaesis**- Replies: 5

If

Then

Proof:

**Aeronaesis**- Replies: 0

Vieta's formula: http://mathworld.wolfram.com/VietasFormulas.html

Can anybody explain to me clearly on this formula, in particular on how to use it. Please show step-by-step if possible.

Thanks!

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