Stolper – Samuelson 
(1)
(2)
Stolper – Samuelson (1)
(2)
Rybczynski 
(3)
(4)
Total differentiation of (3) gives
Therefore,
(3)’
By the same method, from (4),
(4)’
Manipulating equation (3)’ gives
where ^ denotes change rates 
.
Defining
we have two equations
(5)
(6)
For a small country, when endowments change, factor intensity will not change (as it is decided by the world prices).
With
(5) and (6) are
(5)’
(6)’
From (5)’ and (6)’,
If L increases (while K is fixed),
(remind 
Result: 
What do we get?
1. Factor endowment and production
2. Magnification effects