# Browse Classroom Capsules and Notes

You can filter the list below by selecting a subject category from the drop-down list below, for example by selecting 'One-Variable Calculus'. Then click the 'APPLY' button directly, or select a subcategory to further refine your results.

Displaying 1031 - 1040 of 1214

The author shows that every triangle can be dissected into four (acute triangles into three) isosceles triangles, and that a triangle can be dissected into two isosceles triangles if and only if...
It is shown that any bijective function that maps circles and lines onto circles and lines is either a linear fractional transformation, or the complex conjugate of a linear fractional...
The author characterizes the set of possible limits of subsequences of a given sequence.
Two visual proofs of some exponential inequalities are presented.

Given any positive integer $$n$$, find polynomial curves that have exactly $$n$$ tangent lines which intersect the curve exactly once.

Solving Pell Equations using Fibonacci-like sequences

In the game of tennis, if the probability that player $$A$$ wins a point against player $$B$$ is a constant value $$p$$, then the probability that $$A$$ will win a game from deuce is \(p^2/(1 - 2p...

Solving an expected value problem without using geometric series

Another approach to trisecting any acute angle

Characterize positive integers which can be written as a sum of consecutive integers