[USMA:52881] RE: Metric Flag

[Henschel Mark]

Yeah, but I think it is more cool to draw a square and then draw a diagonal and then show people how the diagonal rotates downward and becomes the length of the long side. Also easier to remember if you remember the pythagorean theorem.
 
Mark

----- Original Message -----
From: Martin Vlietstra <vliets...@btinternet.com>
Date: Wednesday, June 5, 2013 4:35 am
Subject: [USMA:52876] RE: Metric Flag
To: "U.S. Metric Association" <usma@colostate.edu>
Cc: "'U.S. Metric Association'" <usma@colostate.edu>

>

The ratio 10:14 (or rather 5:7) differs from sqrt(2) by a factor of 1.02%

Other approximations are

·         17:12 (deviates from sqrt(2) by 0.17%

·         99:70 (deviates from sqrt(2) by 0.0051%)

 

It really depends on how accurate you want to go and the practicalities of keeping to the required accuracy.  I do not think that in the real world it is practical to define a flag as having sides in the ratio 99:70, though 17:12 seems OK.  

 

From: Henschel Mark [mailto:mw-hensch...@neiu.edu]
> Sent: 05 June 2013 02:19
> To: vliets...@btinternet.com
> Cc: U.S. Metric Association
> Subject: Re: [USMA:52864] RE: Metric Flag

 

Not exactly.

Metric paper is the ratio of one to the square root of two, or one to radical two (1:1.414...)

I suppose 7:10  would work as an approximation.

 

IF you like ratios, explore the Renard series of preferred numbers. Louis Sokol did a lot of work on this topic and wrote some interesting papers about Renard numbers.

 

Mark
>
> ----- Original Message -----
> From: Martin Vlietstra <vliets...@btinternet.com>
> Date: Tuesday, June 4, 2013 6:03 am
> Subject: [USMA:52864] RE: Metric Flag
> To: "U.S. Metric Association" <usma@colostate.edu>
>
> > And a flag  ratio of 7:10 - the ratio of A4 paper?
> >
> > -----Original Message-----
> > From: owner-u...@colostate.edu [mailto:owner-u...@colostate.edu]
> > On Behalf
> > Of Pierre Abbat
> > Sent: 04 June 2013 10:31
> > To: U.S. Metric Association
> > Subject: [USMA:52862] RE: Metric Flag
> >
> > On Tuesday, June 04, 2013 07:59:20 Martin Vlietstra wrote:
> > > I know that some flags do have text - this seems to have been
> > a trends
> > > in the 19th century.  Historically the flag was an emblem
> > that was
> > > recognisable without text.
> >
> > How about the quarter meridian divided into ten equal parts?
> >
> > Pierre
> > --
> > li ze te'a ci vu'u ci bi'e te'a mu du
> > li ci su'i ze te'a mu bi'e vu'u ci
> >
> >