This is a Geometry problem. Suppose you have five points in a plane, P1, P2, P3, P4 and P5 Let the centroid of Px, Py, Pz = Cxyz Line PxPy=|PxPy| Make the...
10331
ramsey2879
Jun 4, 2005 3:56 am
... Are we to assume that no two lines of the lines...
10332
cooperpuzzles
Jun 4, 2005 9:49 am
Very curious. Your Message 10331 is a question about Problem 331. :-) John...
10333
cino hilliard
hillcino368
Jun 4, 2005 5:51 pm
Consider the almost rational number a^2 + b^2 ~= 7473/433 where a and b are real numbers. Find a and b. Cino...
10334
cino hilliard
hillcino368
Jun 4, 2005 6:09 pm
Take a look at sqrt(2) + sqrt(3) Surprized the Ancients did not see this. Cino...
10335
MorphemeAddict@...
lojbaner
Jun 4, 2005 6:25 pm
In a message dated 6/4/2005 1:51:33 PM Eastern Standard Time, ... It looks like a and b form a fuzzy circle with center at the origin and radius sqrt(7473/433)...
10336
MorphemeAddict@...
lojbaner
Jun 4, 2005 6:27 pm
In a message dated 6/4/2005 2:09:51 PM Eastern Standard Time, ... How do you know they didn't? stevo [Non-text portions of this message have been removed]...
10337
cino hilliard
hillcino368
Jun 4, 2005 6:41 pm
May be we can add to this list Names of people who study things. Archaeologist -Studies the the great Archimedes Psychologist - Studies people who yawn and...
10338
cino hilliard
hillcino368
Jun 4, 2005 7:02 pm
... Of course they did! I was jesting. The documents were probably destroyed or better I just don't know how to find them. ...
10339
cino hilliard
hillcino368
Jun 4, 2005 7:03 pm
... You have to put youself in a transcendental state of mind to tackle this problem....
10341
Peter Otzen
bogaduck
Jun 5, 2005 1:21 am
... and b are ... What is so special about 2.51001600340004 and 3.31001068003362 other than the fact that when you sqaure them, and add them together the...
10342
MorphemeAddict@...
lojbaner
Jun 5, 2005 1:28 am
In a message dated 6/4/2005 9:23:51 PM Eastern Standard Time, ... And how does one find these numbers without brute force? stevo [Non-text portions of this...
10343
MorphemeAddict@...
lojbaner
Jun 5, 2005 2:13 am
In a message dated 6/4/2005 9:23:51 PM Eastern Standard Time, ... Other pairs (and the difference from b's nearby simple fraction) are: With 2 decimal places...
10344
derpified
Jun 5, 2005 2:47 am
... a ... together ... what ... their squares is ... between 0 ... e^2+pi^2 ~= 7473/433 but what's the point....
10345
cino hilliard
hillcino368
Jun 5, 2005 5:19 am
... Well its math for fun. So think of it thaty way. There is no brute force here....
10346
cino hilliard
hillcino368
Jun 5, 2005 5:43 am
... This is correct. But it is deeper than you think. For example is there a better approximation of Pi^2+e^2 ~=a/b than the above? ... What is the point of Pi...
10347
Sharath A.V
avsharath
Jun 5, 2005 10:01 am
Hi, Can anyone please find me a formula to find weather two rectangles overlap? given the co-ordinates of both the triangles(x1,y1,x2,y2). Thanks, Sharath A.V...
10348
MorphemeAddict@...
lojbaner
Jun 5, 2005 5:14 pm
In a message dated 6/5/2005 1:20:01 AM Eastern Standard Time, ... My main way of solving the problems on this list is by brute force, i.e., checking all the...
10349
MorphemeAddict@...
lojbaner
Jun 5, 2005 5:16 pm
In a message dated 6/5/2005 1:43:45 AM Eastern Standard Time, ... Better in what sense? Of course there are more accurate rational approximations, including...
10350
cino hilliard
hillcino368
Jun 5, 2005 11:03 pm
... Nothing wrong with this. Brute is one of the great forces of the mind. However you cannot check ALL possibilities of all problems by any method. Cino...
10351
cino hilliard
hillcino368
Jun 5, 2005 11:34 pm
... In Pari we list some best approximations for Pi, g(n) = for(x=1,n,print(bestappr(Pi,10^x))) g(20) 22/7 22/7 355/113 355/113 312689/99532 1146408/364913 ...
10352
MorphemeAddict@...
lojbaner
Jun 6, 2005 1:15 am
In a message dated 6/5/2005 7:34:38 PM Eastern Standard Time, ... What's Pari? stevo [Non-text portions of this message have been removed]...
10353
MorphemeAddict@...
lojbaner
Jun 6, 2005 1:18 am
In a message dated 6/5/2005 7:34:38 PM Eastern Standard Time, ... [Non-text portions of this message have been removed]...
10354
MorphemeAddict@...
lojbaner
Jun 6, 2005 1:20 am
In a message dated 6/5/2005 7:34:38 PM Eastern Standard Time, ... In what sense are these best approximations? I'm familiar with using continued fractions for...
10355
MorphemeAddict@...
lojbaner
Jun 6, 2005 1:22 am
Sorry about the recent reply with no content. I sent it by mistake. stevo [Non-text portions of this message have been removed]...
10356
cino hilliard
hillcino368
Jun 6, 2005 7:58 am
... bestappr(f,k): gives the best approximation to the real f with denominator less or equal to k. The numbers above are orders of magnitued k=10^x So for...
10357
Daniel MacIntyre
macintyred
Jun 6, 2005 11:22 am
so, why should they care about sqrt(2) + sqrt(3) when 22/7 gives a closer approximation with an easier calculation? ... -- Daniel (Amy is doing a half marathon...
10358
Daniel MacIntyre
macintyred
Jun 6, 2005 11:47 am
I can relate - I never found math easy and didn't even find it fun until about a year before I earned my B.S. (Gotta thank Chris who pushed me into Modern...
10359
Daniel MacIntyre
macintyred
Jun 6, 2005 1:38 pm
I assume by x1, y1, x2 and y2 you are refering to the line segments corresponding to the height and width of each rectangle - x1 and x2 being segments on the x...
