I memorized the first 3600 decimal places of pi. It s quite fun
AND: @lake-bay yeah right, finally someone makes this clear
AND: @lake-bay yeah right, finally someone makes this clear
@ChessMathNerd I 8 Sigma Pi?
I ate some(sum) pie!
@ChessMathNerd ahh i didn't know Sum was a word in english. Same in Danish
Is there an equation for smegma pi ? Very tasty :]
@ChessMathNerd If a tangent is drawn to a circle, and if secants are drawn from the endpoint of the diameter perpendicular to the tangent, and if the lengths of the chords of the circle are cut off on these secants backwards from the intersection with the tangent then the locus of all the points so obtained is a curve which is called the 'cissoids of Diocles'. This curve enables us to solve geometrically the cubic equations in the reduced form x3 + px = q.
Find the equation of the curve.
Describe the shape of the curve.
Explain the significance of the tangent to the circle for the curve.
Find the ratio of the area between the curve and the tangent to the area of the circle.
Find the length of arc of the curve inside the circle.
If the cissoid is rotated about the diameter of the circle, a solid of revolution is obtained whose volume is and surface area tend to infinity. Calculate its volume and surface area between the limits x = q and x = r.
If the cissoid is rotated about its asymptote, show that the volume of the solid of revolution so obtained is finite, although its vertex is at an infinite distance.
Determine the centres of gravity of these two solids of revolution and also the area bounded by these two branches of the curve and its asymptote.
When Emanuel Lasker was in high school...He had no problem solving this math test question. :]
Find the equation of the curve.
Describe the shape of the curve.
Explain the significance of the tangent to the circle for the curve.
Find the ratio of the area between the curve and the tangent to the area of the circle.
Find the length of arc of the curve inside the circle.
If the cissoid is rotated about the diameter of the circle, a solid of revolution is obtained whose volume is and surface area tend to infinity. Calculate its volume and surface area between the limits x = q and x = r.
If the cissoid is rotated about its asymptote, show that the volume of the solid of revolution so obtained is finite, although its vertex is at an infinite distance.
Determine the centres of gravity of these two solids of revolution and also the area bounded by these two branches of the curve and its asymptote.
When Emanuel Lasker was in high school...He had no problem solving this math test question. :]
I think that I could do all but the last one. I have little knowledge in applied math. Thanks for getting a little more high level!
Well if you can...maybe you can become world chess champion ! Math is like a foreign language to me. I am mathematically illiterate. But,, I get by. :]
I will probably never be that good, but I plan to be 2500+, and once I reach that, I will set a new goal.
@ChessMathNerd, with regards to #4, i never saw it before, but i solved it right away and i have to admit it made me laugh (though the math gods will not take kindly to your imprecision in pi)
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