New Higher Algebra : An Analytical Course Designed for High Schools, Academies, And Colleges

Cover New Higher Algebra : An Analytical Course Designed for High Schools, Academies, And Colleges
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To quickly assess the difficulty of the text, read a short excerpt:

a =: h.
In this case, the first value of x is positive, and equal c to c — X, and both reduce to - . Hence, the first point of equal illumination is midway between the two lights.
The second value of a; is not finite ; because -=^ — z^, having \/a^=.^Jhy reduces to ^ = 00, which indicates that no finite value can be assigned to ar. Hence, there is no second point of equal illumination in the line AB, or its prolongation, at a finite distance from it.
These results agree with the supposition. Fo
...r, since the lights are of equal intensity, a point of equal illumi- nation will obviously be' midway between them ; and it is evident that there can be no other like point in their line.
The preceding discussion illustrates the precision with which algebraic processes will conform to every allow- able interpretation of the enunciation of a problem.
RATIO AND PROPORTION.
305* The Ratio of one quantity to another of the same kind is the* quotient arising from dividing the first quan- tity by the second (Art.


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