I never understood this. Any measurement you do with a wheel you could do with a line of length equal to the circumference. So whether they knew about pi or not is irrelevant?
You’re doing a measurement, and using a wheel to measure. There’s a mark on the wheel, so that one turn = one unit of measure. So if all of your measurements are x turns of the wheel, then all of your measurements will be x/pi.
So mathematicians studying it will discover the measurements are all some multiple of pi. Journalists unlucky enough to have to write about this stuff know like 1 thing about archeology but like 2 things about math and 10000000 things about sensationalism, so they write articles about the one thing they know about archaology, the two things they know about math, and the 10000000 things they know about writing a sensationalist article, rinse repeat.
Wheels are always a fraction of pi. Whether you like it or not. Lengths of string can be arbitrary, but a circle’s dimensions are always tightly related to and proportional to pi in some way. I also recall that wheel measurements are more precise for large scale building because, unlike rope, leather and cloth, a wooden wheel doesnt stretch. Two wheels made similar will stay more between a much tighter error factor than two pieces of rope. The rope might start at the same length but will deform differently as they are used.
I think they are saying that the circumference of a wheel can be any arbitrary measurement, you just change the size of the wheel. So how can that be notably different from having a straight ruler the same length as whatever that circumference is?
The spoke of the wheel is the same length used to measure the blocks. Other comments here have gone into detail. If the height of the blocks is the same as the diameter or radius of the wheel used to measure the base, then the relations will always be some function of pi. You don’t have to know any definition of pi for this to always be geometrically true.
Because this was how you did geometry and math in general in ancient times even till around year 500. The biggest problem was to easily construct exact angles. because it is rly hard to construct a triangle ruler with old materials. but a circle can be constructed with a pencil and a string and with 2 circles you can easily construct exact angles.
I never understood this. Any measurement you do with a wheel you could do with a line of length equal to the circumference. So whether they knew about pi or not is irrelevant?
I believe they are talking about how the base/height ratio of one of the pyramids is very close to pi
You’re doing a measurement, and using a wheel to measure. There’s a mark on the wheel, so that one turn = one unit of measure. So if all of your measurements are x turns of the wheel, then all of your measurements will be x/pi.
So mathematicians studying it will discover the measurements are all some multiple of pi. Journalists unlucky enough to have to write about this stuff know like 1 thing about archeology but like 2 things about math and 10000000 things about sensationalism, so they write articles about the one thing they know about archaology, the two things they know about math, and the 10000000 things they know about writing a sensationalist article, rinse repeat.
Only if you measured it in wheel-lengths… In meters it would just be an arbitrary number
Wheels are always a fraction of pi. Whether you like it or not. Lengths of string can be arbitrary, but a circle’s dimensions are always tightly related to and proportional to pi in some way. I also recall that wheel measurements are more precise for large scale building because, unlike rope, leather and cloth, a wooden wheel doesnt stretch. Two wheels made similar will stay more between a much tighter error factor than two pieces of rope. The rope might start at the same length but will deform differently as they are used.
I think they are saying that the circumference of a wheel can be any arbitrary measurement, you just change the size of the wheel. So how can that be notably different from having a straight ruler the same length as whatever that circumference is?
The spoke of the wheel is the same length used to measure the blocks. Other comments here have gone into detail. If the height of the blocks is the same as the diameter or radius of the wheel used to measure the base, then the relations will always be some function of pi. You don’t have to know any definition of pi for this to always be geometrically true.
Because this was how you did geometry and math in general in ancient times even till around year 500. The biggest problem was to easily construct exact angles. because it is rly hard to construct a triangle ruler with old materials. but a circle can be constructed with a pencil and a string and with 2 circles you can easily construct exact angles.