Page:Ueber die Ablenkung eines Lichtstrals von seiner geradlinigen Bewegung.djvu/5

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then C = v. If we substitute this value for C into the previous equations, then:

,

Thus we have

VII

If this value for is substituted into equations (VI), we obtain:

.

If we multiply this equations by 2dr, then:

,

and if we integrate again,

,

where D is a constant magnitude, that depends on the constant magnitudes which are contained in the equation. From this equation that is found now, the time can be eliminated, hence:

,

If we substitute this value for dt into equation (VII), then we obtain:

,

To integrate this equations, we bring it into the form:

,

Now we put

,

then we have

.