daq
Messianic
- Jan 26, 2012
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@daq To add on another observation of degrees in a circle and square I do know that you can have angles greater or less than 360° Degrees but, I don't see how it's possible for either geometrical shape to contain more than that. I mean sure you can have many revolutions which will give you degrees greater than 360° Degrees, yet at the end of the day when you divide those number of revolutions by the number of degrees in a circle it comes back to 360° Degrees.
Perhaps let's go about this a little differently. Suppose you take a 360 degree circle and divide each degree into tenths: how many parts have you divided the circle into? The answer would be 3600 parts, (10*360=3600). Now you can have 1.0, 1.1, 1.2. 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9 degrees in your circle and if you do the same with all 360 degrees in your circle then you have 3600 parts.
What is the difference if you say your circle has 360 degrees and someone else comes along and decides to count each part of your circle as a separate degree, and therefore, they have a circle of 3600 degrees?
The difference is only in nomenclature: you say a degree is one amount while the other person says that the degrees in his or her circle are a tenth of the value of the degrees in your circle.
That's really all it is, a difference in nomenclature: but this difference becomes critical when you are trying to figure out what a builder was doing and thinking five or six thousand years ago. You might measure an angle in an ancient building or monument that, on your modern 360 degree circle, amounts to 25.71429 degrees, and you are scratching your head asking why this odd angle? Why did the builder(s) choose this angle? While indeed it might merely be a difference in nomenclature: the difference between your definition of a degree and the architects definition of a degree.
So you do more research, and find more clues, and decide to convert your circle to a 364 degree circle to see if that is what the builder was using.
This is a very simple conversion in decimal form: divide by 360 and then multiply by 364 because pi and the circumference-size of the circle do not change.
25.71429°/360 = 0.07142858333...
0.07142858333*364 = 26.000004333...
Bingo: the architect was more likely using a circle of 364 degrees and especially if you begin to find whole, halves, and quarter number values in other angular measurements using the same conversion method, (I suspect the architect in this case probably divided the 364 degree circle into sevenths of degrees).
It is the same angle either way, but you were calling it 25.71429 degrees according to your 360 degree circle, while the builder or architect was calling it 26 degrees on his 364 degree circle. His circle had more degrees in it than yours, and thus, his geometry and angular measurements were slightly different than yours.
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