I admit her books offer a very refreshing perspective, but a mass undertaking of objectivism would undoubtedly fail society...
Perhaps. I'd definitely like some objectivist political and economic influence though, and I believe the parts of the philosophy applying to individuals would benefit society greatly if widely adopted. Which parts do you think which would fail society? The abolition of the welfare state?
It's common knowledge that any line through the midpoint of a parallelogram bisects the area, but I'm not sure I've ever learnt how to show it. I certainly don't recognise the question - it looks like it's from a Maths Challenge/Olympiad.
Yes, and that's not very difficult to prove using similar triangles. What is difficult is to prove the 'only' bit in the question. It's Q5 from BMO1 2005.
Yes, and that's not very difficult to prove using similar triangles. What is difficult is to prove the 'only' bit in the question. It's Q5 from BMO1 2005.
You got set that for homework? Wow. How would you prove the 'only' bit then?