#Compass altitude geometry how to

His axioms are closely related to the tools he used for construction.

Euclid, the Greek mathematician who wrote the geometry text used for centuries, stated many of his theorems in terms of constructions. It was the idea behind it that really mattered. IвЂ™ve used compass constructions when I helped renovate a church building but then the вЂњcompassвЂќ was a length of string. If you haven't heard that term, I'm talking about the whole idea of proofs and careful thinking that we often use geometry to teach. But I think the main reason for learning constructions is their close connection to axiomatic logic. Some of the techniques are useful in construction (of buildings, furniture, and so on), though in fact sometimes there are simpler techniques builders use that we forget to teach.

#Compass altitude geometry how to

We tend to teach it out of tradition, and forget to think about why it's worth doing!Д¬ertainly learning how to use the tools is useful. Ultimately, itвЂ™s because our minds are worth knowing how to use! Since many things we ask children to do are largely to get them used to certain ways to use their hands or bodies, it is understandable that Kel would suppose that we teach constructions just because compasses and straightedges are worth knowing how to use. So I was wondering if you could give me more of a reason why constructions are so important? I realize that they challenge us to use different tools but there must be more to it then that. I would like to know why constructions are important. I am doing a report on constructions in geometry. IвЂ™ll start with this question from 1998: The Importance of Geometry Constructions We left open another common question: Why are such constructions important, and why do we use those particular tools? This probably isnвЂ™t explained as often as it should be. Some time ago I looked at questions about trisecting an angle by compass and straightedge, which entailed discussing the rules for such constructions.