msbiljanica
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trisedtion - regular polygon
- Thread starter msbiljanica
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Dr.Peterson
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Apparently you are claiming that angle PAQ exactly trisects angle BAD.
Did you try changing the rounding from 2 decimal places to, say, 4? You'll see that the 3 shown on the bottom line becomes 3.0017 (for the initial angle you used). It is not exact.
Are you aware that the trisection problem requires a provable construction, not just one that comes very close when measured? There is nothing particularly profound in what you have done here, except that it took a lot of work. And a provably exact trisection using standard tools has been proved to be impossible, so that is not worth the effort.
Did you try changing the rounding from 2 decimal places to, say, 4? You'll see that the 3 shown on the bottom line becomes 3.0017 (for the initial angle you used). It is not exact.
Are you aware that the trisection problem requires a provable construction, not just one that comes very close when measured? There is nothing particularly profound in what you have done here, except that it took a lot of work. And a provably exact trisection using standard tools has been proved to be impossible, so that is not worth the effort.
msbiljanica
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the previous one has an error to 3 decimal places
the next one has an error to 5 decimal places, so that each angle is a divided circle of 360:60
the next one has an error to 5 decimal places, so that each angle is a divided circle of 360:60
Dr.Peterson
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I will repeat: there is nothing mathematically interesting about a close approximation to a trisection. An exact trisection following standard construction rules is impossible, and an approximate one is not useful.
For example, using GeoGebra, I can just tell it to make 1/3 of a given angle, and it will give me as much precision as I want:
www.geogebra.org
That takes a lot less work! Compass and straightedge construction is not the best way to do things.
For example, using GeoGebra, I can just tell it to make 1/3 of a given angle, and it will give me as much precision as I want:
Calculator Suite - GeoGebra
Interactive, free online calculator from GeoGebra: graph functions, plot data, drag sliders, create triangles, circles and much more!
That takes a lot less work! Compass and straightedge construction is not the best way to do things.