Invisible wrote:
> Heck, my Renault Megan holds 5 people and gets roughly 45 MPG.

OK, I misremembered. The official numbers are about 50MPG for the Prius, and 
that's not even driving conservatively. In contrast, the same measurements 
show the "smart twofour coupe" gets about 33 to 40 MPG.

The Megane seems to be a diesel car, which tends to get better mileage 
anyway, and almost as good as a Prius running on gasoline.

-- 
Darren New, San Diego CA, USA (PST)
   Forget "focus follows mouse." When do
   I get "focus follows gaze"?

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Kevin Wampler <wam### [at] uwashingtonedu> wrote:
> Invisible wrote:
> > http://www.xkcd.com/687/
> > 
> > Interesting fact: In elliptic geometry, pi is less than arcsine 1. In 
> > hyperbolic geometry, it's more than arcsine 1.

> I don't think this is true -- pi is defined in Euclidean space.  Read 
> the first sentence of the Wikipedia article on it.

  Yeah. You can't say "pi is xyz" where xyz is something else than 3.1415...
because pi is *defined* as a *constant*, and constants don't change depending
on the situation. The definition of pi implies euclidean geometry.

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                                                          - Warp

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Eero Ahonen wrote:

>  - still having
> 150bhp/320Nm (upgradeable to 175bhp/370Nm with just a software) with

Let’s have an argument about the difference between hp and bhp, please. :-P

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Best Regards,
	Stephen

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Warp wrote:
> Kevin Wampler <wam### [at] uwashingtonedu> wrote:
>> Invisible wrote:
>>> http://www.xkcd.com/687/
>>>
>>> Interesting fact: In elliptic geometry, pi is less than arcsine 1. In 
>>> hyperbolic geometry, it's more than arcsine 1.
> 
>> I don't think this is true -- pi is defined in Euclidean space.  Read 
>> the first sentence of the Wikipedia article on it.
> 
>   Yeah. You can't say "pi is xyz" where xyz is something else than 3.1415...
> because pi is *defined* as a *constant*, and constants don't change depending
> on the situation. The definition of pi implies euclidean geometry.
> 

What about xyz = the ratio of any circle's circumference to its diameter?


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Best Regards,
	Stephen

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>> Interesting fact: In elliptic geometry, pi is less than arcsine 1. In 
>> hyperbolic geometry, it's more than arcsine 1.
> 
> I don't think this is true -- pi is defined in Euclidean space.

OK, I rephrase: In non-Euclidian space, the ratio of a circle's 
circumfirance to its diameter can be made arbitrarily large or small.

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http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*

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Stephen wrote:
> What about xyz = the ratio of any circle's circumference to its diameter?

Define "circle".  Now define "distance".  Now we're getting somewhere.

-- 
Darren New, San Diego CA, USA (PST)
   Forget "focus follows mouse." When do
   I get "focus follows gaze"?

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>> What about xyz = the ratio of any circle's circumference to its diameter?
> 
> Define "circle".

The set of all points at distance r from the point c.

> Now define "distance".

I actually can't find a definition for how to do this in a non-Euclidean 
space.

> Now we're getting somewhere.

Well, yes... I'm sure somebody somewhere has long since worked all this 
out in excruciating detail. ;-)

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*

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Darren New wrote:
> Stephen wrote:
>> What about xyz = the ratio of any circle's circumference to its diameter?
> 
> Define "circle".  Now define "distance".  

Why?

> Now we're getting somewhere.
> 

No we are here ;)

“Here and Now!” Quoth the mynah bird.

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Best Regards,
	Stephen

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Stephen <mca### [at] aoldotcom> wrote:
> What about xyz = the ratio of any circle's circumference to its diameter?

  If it's in Euclidean space, then it's pi, else it isn't.

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                                                          - Warp

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Warp wrote:
> Stephen <mca### [at] aoldotcom> wrote:
>> What about xyz = the ratio of any circle's circumference to its diameter?
> 
>   If it's in Euclidean space, then it's pi, else it isn't.
> 

Would you run that past me again, in English? :-)

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Best Regards,
	Stephen

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