### Easy Newton-Raphson method on a calculator

The Newton-Raphson method for solving algebraic equations :     has always presented my students with difficulties.  To solve, for…

### The size of the Solar System (and more)

I’ve been looking up at the sky at night recently, and thinking about the sizes of things.  Now it’s all…

### Neusis constructions (4): the Delian problem

The Delian problem is that of constructing ; since the polynomial equation is irreducible over the equation can’t be solved…

### Neusis constructions (3): the regular heptagon

The regular heptagon (seven sided polygon) is the smallest polygon which can't be constructed used Euclidean compass and straight-edge.  However,…

### “Neusis” constructions (2): trisections

Here we show how the use of neusis can be used to trisect arbitrary angles. In fact, we shall give…

### “Neusis” constructions (1)

As you know, the geometry of the ancient Greeks, as exemplified by Euclid, restricted constructions to the use of unmarked…

### Solving a cubic by folding

Currently I’m reviewing “Origami5” for the Australian Mathematical Society. It’s a terrific volume, filled with nice papers about Origami as…

### An alternative to partial fractions

I've been thinking about integration rules, as I've got up to that part of an elementary calculus course for engineering…

### The foolishness of signature images

Australia, according to a recent article on cracked.com, is an example of a modern country with "surprisingly backward technology", in…