| Topic: |
Science > Physics |
| User: |
"Jim" |
| Date: |
21 Jan 2005 10:48:55 AM |
| Object: |
Geometry problem |
Hi! I have a problem that i canīt solve. Of course all numbers are related
in some way geometrically. But i am supposed to find the best solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
Second is the squareroot of 0,618.
Someone who know how to solve this? Uncle Al can try to if he wants
Maybe there are softwares for this?
Thanks
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| User: "Farina" |
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| Title: Re: Geometry problem |
21 Jan 2005 11:44:38 AM |
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"Jim" <uhor3rih@hotmail.com> wrote in message
news:XnaId.128282$dP1.460114@newsc.telia.net...
Hi! I have a problem that i canīt solve. Of course all numbers are related
in some way geometrically. But i am supposed to find the best solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
The second number is written wrong. do you mean 7857 or 0.7857 ?
What do you mean by "geometrically" ? sin/cos or numeric factors or
something else?
Second is the squareroot of 0,618.
Do you mean 618 or 0.618?
Maybe there are softwares for this?
You can do these by hand or use your slide rule, no software needed!
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| User: "Randy Poe" |
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| Title: Re: Geometry problem |
21 Jan 2005 11:53:55 AM |
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Farina wrote:
"Jim" <uhor3rih@hotmail.com> wrote in message
news:XnaId.128282$dP1.460114@newsc.telia.net...
Hi! I have a problem that i can=B4t solve. Of course all numbers are
related
in some way geometrically. But i am supposed to find the best
solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
The second number is written wrong. do you mean 7857 or 0.7857 ?
Not wrong. European convention on the use of "." and ","
is opposite to US convention. Thus, one million dollars and
seventeen cents in France is $1.000.000,17
So these two numbers are (in US convention) 1.3928
and 0.7857.
What do you mean by "geometrically" ? sin/cos or numeric factors or
something else?
I have the same question. Perhaps they arise as
trig functions of the same angle.
Second is the squareroot of 0,618.
Do you mean 618 or 0.618?
sqrt(0.618).
Again, I suspect OP is supposed to come up with a
way in which this number arises "geometrically"
whatever that means.
- Randy
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| User: "Farina" |
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| Title: Re: Geometry problem |
21 Jan 2005 01:52:43 PM |
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"Randy Poe" <poespam-trap@yahoo.com> wrote in message
news:1106330035.948706.288950@c13g2000cwb.googlegroups.com...
Farina wrote:
"Jim" <uhor3rih@hotmail.com> wrote in message
news:XnaId.128282$dP1.460114@newsc.telia.net...
Hi! I have a problem that i canīt solve. Of course all numbers are
related
in some way geometrically. But i am supposed to find the best
solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
The second number is written wrong. do you mean 7857 or 0.7857 ?
Not wrong. European convention on the use of "." and ","
is opposite to US convention. Thus, one million dollars and
seventeen cents in France is $1.000.000,17
So these two numbers are (in US convention) 1.3928
and 0.7857.
What do you mean by "geometrically" ? sin/cos or numeric factors or
something else?
I have the same question. Perhaps they arise as
trig functions of the same angle.
Second is the squareroot of 0,618.
Do you mean 618 or 0.618?
sqrt(0.618).
Again, I suspect OP is supposed to come up with a
way in which this number arises "geometrically"
whatever that means.
so you have three numbers
1.3928
0.7857
0.7861
and your question is how are these numbers "geometrically" related where
"geometrically" is unknown?
Obviously, they are just the lengths of the sides of a triangle.
That is one solution.
Next........
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| User: "Old Man" |
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| Title: Re: Geometry problem |
21 Jan 2005 09:49:17 PM |
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"Randy Poe" <poespam-trap@yahoo.com> wrote in message
news:1106330035.948706.288950@c13g2000cwb.googlegroups.com...
Farina wrote:
"Jim" <uhor3rih@hotmail.com> wrote in message
news:XnaId.128282$dP1.460114@newsc.telia.net...
Hi! I have a problem that i canīt solve. Of course all numbers are
related
in some way geometrically. But i am supposed to find the best
solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
The second number is written wrong. do you mean 7857 or 0.7857 ?
Not wrong. European convention on the use of "." and ","
is opposite to US convention. Thus, one million dollars and
seventeen cents in France is $1.000.000,17
What's the "European" translation for "decimal point" ?
[Old Man]
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| User: "Durk van Veen" |
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| Title: Re: Geometry problem |
21 Jan 2005 10:37:38 PM |
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Old Man wrote:
[SNIP]
What's the "European" translation for "decimal point" ?
[Old Man]
"comma"
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| User: "Uncle Al" |
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| Title: Re: Geometry problem |
21 Jan 2005 11:37:45 AM |
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Jim wrote:
Hi! I have a problem that i canīt solve. Of course all numbers are related
in some way geometrically. But i am supposed to find the best solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
Second is the squareroot of 0,618.
Someone who know how to solve this? Uncle Al can try to if he wants
Maybe there are softwares for this?
I'll bite. What is the question? Solution to what?
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz.pdf
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| User: "John Schoenfeld" |
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| Title: Re: Geometry problem |
21 Jan 2005 04:41:46 PM |
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Jim wrote:
Hi! I have a problem that i can=B4t solve. Of course all numbers are
related
in some way geometrically. But i am supposed to find the best
solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
Second is the squareroot of 0,618.
Someone who know how to solve this?
Uncle Al can try to if he wants
I wouldn't expect much value from his replies.
Maybe there are softwares for this?
Thanks
Another poster adequately responded to the first numbers.
As for approx 0.618 you can try the,
nested radical
0=2E618.. =3D sqrt( 1 + sqrt(1 + sqrt(1 + ...) ) ) - 1
or the continued fraction
1 / (1 + 1/ (1 + 1/(1 + ... ) ) )
or geometric relations 2cos(pi/5), 1/2sec(2*pi/5), 1/2csc(pi / 10),
or recurrence relation
(0.618 + 2) / (0.618 + 1) - 1
or the infinite series
13/8 + sum(n=3D0)^+inf [ (-1)^(n+1) (2n+1)! ] / [ (n+2)! n! 4^(2n+3) ]
or the limit
lim n->+inf [(1+sqrt(5)/2)^(n+1)]/[(1+sqrt(5)/2)^n]
to name only few of the uncountably infinite solutions.
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| User: "tadchem" |
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| Title: Re: Geometry problem |
21 Jan 2005 12:00:45 PM |
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Jim wrote:
Hi! I have a problem that i can=B4t solve. Of course all numbers are
related
in some way geometrically. But i am supposed to find the best
solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
Second is the squareroot of 0,618.
The first is approximately 1/(e-2).
Someone who know how to solve this? Uncle Al can try to if he wants
Continued fractions.
1=2E3928 =3D 1 + (1/2 + (1/1 + (1/1 + (1/4 + (1/1 + ... )))))
e =3D 2.718281828...
=3D 2 + (1/1 + (1/2 + (1/1 + (1/1 + (1/4 + (1/1 + ... ))))))
Maybe there are softwares for this?
Wrote my own Excel spreadsheet.
Thanks
You're welcome.
Tom Davidson
Richmond, VA
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| User: "Jim" |
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| Title: Re: Geometry problem |
21 Jan 2005 03:57:38 PM |
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"tadchem" <thomas.davidson@dla.mil> skrev i meddelandet
news:1106330444.938488.43960@f14g2000cwb.googlegroups.com...
Jim wrote:
Hi! I have a problem that i canīt solve. Of course all numbers are
related
in some way geometrically. But i am supposed to find the best
solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
Second is the squareroot of 0,618.
The first is approximately 1/(e-2).
Someone who know how to solve this? Uncle Al can try to if he wants
Continued fractions.
1.3928 = 1 + (1/2 + (1/1 + (1/1 + (1/4 + (1/1 + ... )))))
e = 2.718281828...
= 2 + (1/1 + (1/2 + (1/1 + (1/1 + (1/4 + (1/1 + ... ))))))
Maybe there are softwares for this?
Wrote my own Excel spreadsheet.
Thanks
You're welcome.
Tom Davidson
Richmond, VA
Numbers are relations between lengths in some geometric structure. Something
more obvious i guess
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| User: "pete" |
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| Title: Re: Geometry problem |
22 Jan 2005 05:01:47 AM |
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tadchem wrote:
Jim wrote:
Hi! I have a problem that i canīt solve. Of course all numbers are
related
in some way geometrically. But i am supposed to find the best
solution for
these 2 numbers geometrically. They are 1,3928 and 0,7857
Second is the squareroot of 0,618.
The first is approximately 1/(e-2).
The second is approximately cos(2/3).
--
pete
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