Triangles have a Magic Highway - Numberphile
Triangles have multiple centres, and many of them lie on the so-called Euler Line. More links & stuff in full description below ↓↓↓ Extra footage: https://youtu.be/p7oGGSwUFwM Featuring...
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We're talking about the Euler line, which is a special so-to-speak "highway" for any triangle. For any triangle you can draw this highway but you need to identify some very special points for the triangle. You can do everything that we talk about today using only a straight edge with no markings and a compass. So these constructions are called Euclidean constructions. So let's start with the first point. Well you can take the midpoints of each of the sides and connect them to the opposite vertex. This segment here, CD, has a special name. It's called the median of the triangle. Okay, so how many medians we have... is three. The fact that this worked for one triangle does not guarantee that it will work for all. and so, should I dra...
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We're talking about the Euler line, which is a special so-to-speak "highway" for any triangle. For any triangle you can draw this highway but you need to identify some very special points for the triangle. You can do everything that we talk about today using only a straight edge with no markings and a compass. So these constructions are called Euclidean constructions. So let's start with the first point. Well you can take the midpoints of each of the sides and connect them to the opposite vertex. This segment here, CD, has a special name. It's called the median of the triangle. Okay, so how many medians we have... is three. The fact that this worked for one triangle does not guarantee that it will work for all. and so, should I dra...
