| 释义 |
Square QuadrantsThe areas of the regions illustrated above can be found from the equations
 | (1) |
 | (2) |
Since we want to solve for three variables, we need a third equation. This can betaken as
 | (3) |
where
 | (4) |
 | (5) |
leading to
 | (6) |
Combining the equations (1), (2), and (6) gives the matrix equation
 | (7) |
which can be inverted to yield
References
Honsberger, R. More Mathematical Morsels. Washington, DC: Math. Assoc. Amer., pp. 67-69, 1991.
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