The student in the secondary school is likely to feel when studying geometry that the methods of analysis used are far removed from those used in the study of other branches of mathematics. Some recent authors have made extensive use of elementary algebra in texts on geometry. The scope of algebra employed could well be extended to the advantage of the student in both subjects. When once a student sees a useful application of a particular topic in algbra its value is immediately apparent and his interest and efforts are stimulated. It is the purpose of this article to draw the attention of teachers to certain neat applications of limiting values of fractions and summation of series to theorems in solid geometry.
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