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Topic: Alternative area postulate for geometry
Replies: 141   Last Post: Jul 18, 2012 9:39 PM

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Peter Duveen

Posts: 163
From: New York
Registered: 4/11/12
Alternative area postulate for geometry
Posted: Jun 25, 2012 10:23 AM
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I have been dissatisfied with the area postulate generally in use these days, that the area of a square = the side squared. I have formulated an alternative postulate, which I believe is more helpful. It is that, of two rectangles with the same width but different lengths, the ratio of the areas contained = the ratio of the lengths. From this, the area formulae for the rectangle and square can be derived. I have posted the details on my website at http://www.petersnewyork.com/postulate.html. I feel this postulate is more self-evident than accepting the area of the square as the side squared, and it is sufficient for deriving all the area formulae.


Date Subject Author
6/25/12
Read Alternative area postulate for geometry
Peter Duveen
6/25/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/25/12
Read Re: Alternative area postulate for geometry
Gary Tupper
6/25/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/25/12
Read Re: Alternative area postulate for geometry
Gary Tupper
6/25/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/25/12
Read Re: Alternative area postulate for geometry
kirby urner
6/25/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/25/12
Read Re: Alternative area postulate for geometry
kirby urner
6/26/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/26/12
Read Re: Alternative area postulate for geometry
Gary Tupper
6/28/12
Read Re: Alternative area postulate for geometry
Gary Tupper
6/28/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/29/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/29/12
Read Re: Alternative area postulate for geometry
Gary Tupper
6/29/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/26/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/26/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/26/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/26/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/27/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/28/12
Read Re: Alternative area postulate for geometry
kirby urner
6/28/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/28/12
Read Re: Alternative area postulate for geometry
kirby urner
6/26/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/26/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/26/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/27/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/26/12
Read Re: Alternative area postulate for geometry
kirby urner
6/27/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/27/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/27/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/27/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/27/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/27/12
Read Re: Alternative area postulate for geometry
kirby urner
6/27/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/27/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/27/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/27/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/27/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/27/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/28/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/28/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/28/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/28/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/28/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/29/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/29/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/29/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/29/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/29/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/30/12
Read Re: Alternative area postulate for geometry
kirby urner
6/30/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/29/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/29/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/29/12
Read Re: Alternative area postulate for geometry
kirby urner
6/29/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/29/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/29/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/29/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/29/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/29/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/29/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/29/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/29/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/29/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/30/12
Read Re: Alternative area postulate for geometry
Louis Talman
6/30/12
Read Re: Alternative area postulate for geometry
Robert Hansen
6/30/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/1/12
Read Re: Alternative area postulate for geometry
Louis Talman
7/1/12
Read Re: Alternative area postulate for geometry
Louis Talman
7/1/12
Read Re: Alternative area postulate for geometry
Louis Talman
7/1/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/30/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/1/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/1/12
Read Re: Alternative area postulate for geometry
Louis Talman
7/2/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/2/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/3/12
Read Re: Alternative area postulate for geometry
Gary Tupper
7/3/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/2/12
Read Re: Alternative area postulate for geometry
kirby urner
7/2/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/2/12
Read Re: Alternative area postulate for geometry
kirby urner
7/2/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/2/12
Read Re: Alternative area postulate for geometry
kirby urner
7/2/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/2/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/3/12
Read Re: Alternative area postulate for geometry
kirby urner
6/29/12
Read Re: Alternative area postulate for geometry
Peter Duveen
6/29/12
Read Re: Alternative area postulate for geometry
kirby urner
6/30/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
6/30/12
Read Re: Alternative area postulate for geometry
kirby urner
6/30/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/1/12
Read Re: Alternative area postulate for geometry
kirby urner
7/1/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/2/12
Read Re: Alternative area postulate for geometry
kirby urner
7/2/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/3/12
Read Re: Alternative area postulate for geometry
kirby urner
6/30/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/30/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
6/30/12
Read Re: Alternative area postulate for geometry
Peter Duveen
7/1/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/1/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/1/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/2/12
Read Re: Alternative area postulate for geometry
Peter Duveen
7/3/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/3/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/4/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/4/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/4/12
Read Re: Alternative area postulate for geometry
kirby urner
7/3/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/3/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/18/12
Read Re: Alternative area postulate for geometry
kirby urner
7/4/12
Read Re: Alternative area postulate for geometry
Peter Duveen
7/4/12
Read Re: Alternative area postulate for geometry
kirby urner
7/4/12
Read Re: Alternative area postulate for geometry
Louis Talman
7/4/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/4/12
Read Re: Alternative area postulate for geometry
Louis Talman
7/4/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/4/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/4/12
Read Re: Alternative area postulate for geometry
Peter Duveen
7/5/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/4/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/5/12
Read Re: Alternative area postulate for geometry
kirby urner
7/5/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/5/12
Read Re: Alternative area postulate for geometry
kirby urner
7/6/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/6/12
Read Re: Alternative area postulate for geometry
kirby urner
7/6/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/6/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/6/12
Read Re: Alternative area postulate for geometry
kirby urner
7/4/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/5/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/5/12
Read Re: Alternative area postulate for geometry
Wayne Bishop
7/5/12
Read Re: Alternative area postulate for geometry
kirby urner
7/5/12
Read Re: Alternative area postulate for geometry
Robert Hansen
7/5/12
Read Re: Alternative area postulate for geometry
kirby urner
7/4/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/6/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/6/12
Read Re: Alternative area postulate for geometry
kirby urner
7/6/12
Read Re: Alternative area postulate for geometry
Joe Niederberger
7/7/12
Read Re: Alternative area postulate for geometry
Wayne Bishop

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