New answers tagged geometry
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Explaining why volume of cone is a third of cylinder
A possibility may be to show how a cube consists of 6 equivalent pyramids. The picture below shows three of them, and has empty slots in between for the missing three (I felt this would make the ...
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2
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Geometry with a view towards differential geometry textbook
Saul Stahl's ** A Gateway to Modern Geometry: the Poincare Upper Half Plane **
looks extremely promising. I haven't read it, but based on the table of contents, it seems to begin with Euclidean ...
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Explaining why volume of cone is a third of cylinder
Without Calculus, you can still be sort of rigorous. With Euclidean geometry we can find the centroid of a right triangle by finding the point where all the medians intersect. A cardboard triangle ...
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Explaining why volume of cone is a third of cylinder
One framework of understanding and building towards proof that we teach to mathematics teachers at primary school level is (and translated to English on fly):
Naive empiricism: The pupil tries an ...
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Accepted
Explaining why volume of cone is a third of cylinder
This is an experiment which can lead you to guess that the volume of a cone is approximately $\frac{1}{3}$ the volume of a cylinder with the same base and height. It is not a proof in any sense of ...
- 19.4k
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Real-world applications of taxicab metric
A variation on Matthew's bakeries:
The taxicab Voronoi diagram shows which firestation can reach a fire fastest
in a city whose roads follow an orthogonal grid.
The dots below are firestations, and ...
- 28k
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Real-world applications of taxicab metric
I would argue that the taxicab metric as such is actually carrying its weight if it is a "fun exercise for students" that points out that there are real-world applications where the ...
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