Category Archives: Newton

Elegant proofs 2 – The area of a circle

Posted on 02/07/2008 by dougaj4

We are so familiar with the formula for the area enclosed by a circle that we tend not to think much about how it was derived, at least I don’t. The proofs of the formula are in fact many and … Continue reading →

Posted in Maths, Newton | Tagged , , , , | 4 Comments

Pythagoras, Penrose and Pov-Ray

Posted on 30/06/2008 by dougaj4

Images based on Pythagorean tiling, Penrose tiling, and projections onto the Riemann Sphere by PM2ring, a regular contributor to the ABC Self-Service Science Forum (words by the artist):  Various renderings of a Pythagorean tiling. Mostly using the 3,4,5 triangle. This … Continue reading →

Posted in Maths, Newton | Tagged , , , , | 3 Comments

Irish Graffiti

Posted on 25/06/2008 by dougaj4

On the 16th October 1843 the Irish mathematician William Hamilton was taking a walk with his wife, alongside the Royal Canal in Dublin, when the answer to a problem that he had been puzzling over came to him, and he … Continue reading →

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Drawing in Excel – 2

Posted on 22/06/2008 by dougaj4

Before getting down to basics, the attached file: Animation demo Illustrates how Excel shapes can be simply animated. Screen shot: The code for the animation (having previously drawn a circle and a rectangle with no fill, and noted their names): … Continue reading →

Posted in Drawing, Excel, Newton | Tagged , , , , | 19 Comments

Reinforced Concrete Section Analysis – 4

Posted on 21/06/2008 by dougaj4

Previous post The spreadsheet presented in the previous post in this series uses the basic equation given below to find the location of the neutral axis: For a cross section with any applied axial load at eccentricity e, measured from … Continue reading →

Posted in Beam Bending, Excel, Newton, UDFs, Uncategorized | Tagged , , , , | 1 Comment