pdurrant The Grand Mouse 高貴的老鼠



Posts: 64,275 Karma: 266700001 Join Date: Jul 2007 Location: Norfolk, England Device: Kindle Voyage

Quote: dsvick Originally Posted by



My problem with it though is that "pie are square(d)" rolls off the tongue much more easily than "two tau are square(d)" I didn't read the entire article in detail, it's been a few years since I've done math at those levels, but it makes sense to me and I have to agree on a few of the points. I agree that using the radius is more intuitive than the diameter, you very rarely hear someone referring to the diameter of a circle.My problem with it though is that "pie are square(d)" rolls off the tongue much more easily than "two tau are square(d)"



Tau are is simpler than two pi are. Of course, we could also say pi dee but then for consistency we ought to use one quarter pi dee squared'. Ugh...



The ½τr² is also exactly analogous with lots of other equations that deal with the integration of an equation with a constant of proportionality.



The link gives the example of objects falling in a uniform gravitational field. (i.e. on Earth, to a close approximation).



The speed of dropped item is directly proportional to the time it has been falling (neglecting air resistance and changes in the gravity field).



v = gt



The distance fallen is the integral of this: d = ½gt²







I must admit that the more I consider this, the more pleased I am with it.



Although I would hold out for tau day to be celebrated on the 6th of February, not the 28th of June!



And celebrations ought, of course, to reach a climax at exactly 53 seconds past 3:33 pm (or am if you're on night shifts). Because, of course, the ratio 333/53 approximates tau to three decimal places.



Alternatively we could have an approximate tau lunch on 7th October, at 1:13 pm, since 710/133 is tau to six decimal places. Umm... the area of a circle is one half tau are squared. (½τr²) And the circumference is tau are. (τr)Tau are is simpler than two pi are. Of course, we could also say pi dee but then for consistency we ought to use one quarter pi dee squared'. Ugh...The ½τr² is also exactly analogous with lots of other equations that deal with the integration of an equation with a constant of proportionality.The link gives the example of objects falling in a uniform gravitational field. (i.e. on Earth, to a close approximation).The speed of dropped item is directly proportional to the time it has been falling (neglecting air resistance and changes in the gravity field).v = gtThe distance fallen is the integral of this: d = ½gt²I must admit that the more I consider this, the more pleased I am with it.Although I would hold out for tau day to be celebrated on the 6th of February, not the 28th of June!And celebrations ought, of course, to reach a climax at exactly 53 seconds past 3:33 pm (or am if you're on night shifts). Because, of course, the ratio 333/53 approximates tau to three decimal places.Alternatively we could have an approximate tau lunch on 7th October, at 1:13 pm, since 710/133 is tau to six decimal places.