for which X vs. for the X of which

In each quotation beneath, what happens if I replace with for which determination? Does anything change?

In Current
Sailing a resultant has to be found for two simultaneous courses
and distances. Oblique Sailing is a term applied to those cases for
the determination of which an oblique triangle has to be solved.
The above is the accurate use of the term "Plane Sailing", but it is
sometimes loosely used as a synonym for the equally ill-used term
"Navigation", as contrasted with "Nautical Astronomy".

Glossary of Navigation: A Vade Mecum for Practical Navigators
by J. B. Harbord. p 305.

The Supreme Court, reversing the Circuit Court, held 1
that the act was valid and enforceable. The irrigation of
really arid lands is a public use, and the question whether
any particular land will be benefited is one of fact, for
the determination of which the act made suffcient provision.

A Treatise on the Power of Taxation, State and Federal, in the United States
by Frederick Newton Judson. p 447.

If Mill were taken literally the whole definition would
end up as a mere tautology. For in order to discover how
often a certain sum of money changes hands in effecting the
sale and purchase of a given quantity of goods, it is neces-
sary to know the average price of the goods in question,
which is precisely the quantity for the determination of
which the (amount and) velocity of circulation of money
are to be utilised. In other words, velocity of circulation
as defined by Mill could not be regarded as an independent
factor in the determination of average price.

Interest and Prices by Knut Wicksell. p 51.