Circles arise naturally in geometry (they are an immediate consequence of the notion of distance), and we use them extensively in geometric constructions (after all, a compass is essentially a … Read More
Tag: geometry
As we saw last time, software can easily replicate the capabilities of the ruler and compass – but can also be used to apply those techniques without the same kind … Read More
Math.stackexchange.com is a question-and-answer website that focusses on substantive discussion of mathematical questions, with participants ranging from students to teachers to professional mathematicians. The question What is the (mathematical) point … Read More
What does it mean for two line segments OR triangles OR other subsets of the plane to be “the same shape”?
The concept of “shape”, the concept of “similarity”
… Read MorePlane geometry
Our geometric intuition is grounded in our experience of the real world. For many basic concepts in geometry, that intuition is a great (indeed, fantastic) tool! However, it … Read More