Answers to problems in this issue
Mombe Magic - page .
This is your wise solution: First, you borrow a cow from a neighbour.
Then there will be 18 cows, so you give half (9) to the eldest son,
third (6) to the next son, and one ninth (2) to the youngest son. There
will still be one cow left, which you can now return to the neighbour!
Solutions to Thales Problems on page
- By the sine law, d = [(lsina)/(sing)] = [(lsina)/(sin(90-a-b))] = [(lsina)/(cos(a+b))].
- If you construct, on the sand, a triangle P¢Q¢R¢ similar to the
one PQR, using the measured angles, then you can use simple
calculate d = PR, because you can measure P¢R¢ and Q¢R¢ in the sand
and QR in the air, using your string (and any units).
- Set your hinged rulers to the angle q whose
tangent is 2,
by constructing in the sand the right triangle shown in the diagram.
Now walk along the shoreline until the angle ÐABC the shoreline
makes with the direction to the ship is q, and mark the spot
Next, walk back
along the shoreline in the other direction until the angle ÐACB
between ship and shoreline is again q. Mark this spot (C). The
distance to the ship is the distance BC you walked. Can you see why?
``It has been said that figures rule the world. Maybe. But I
am sure that figures show us whether it is being ruled well or badly.''
In J. P. Eckermann, Conversations with Goethe.
File translated from
On 14 Jan 2001, 09:58.