Keep constructing triangles in the incircle of the previous triangle. What happens?
Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.
The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
With this method you only ever need multiplication tables up to
5 times 5. It is one of many ancient Indian sutras and this one
involves a cross subtraction method which, according to old
historical traditions, is responsible for the acceptance of the
´ mark as the sign of multiplication. Here is a very simple
example of the method. Can you give a good explanation of WHY it
Suppose we want to multiply 9 by 7. We subtract each number from
10 and, using these differences (or deficiencies), write:
The product has two parts, left and right.
To get the right part (or units digit) multiply the deficiencies
The left hand digit (tens digit) of the answer can be found in four
different ways. Why do they all give the same answer?
This gives the answer 63.
Here are some more examples. Try some of your own.