Excerpt from The High School Algebra, Vol. 2
The favorable reception accorded to "The High School Algebra, Part I.," by the Mathematical Masters of the leading Collegiate Institutes and High Schools of Ontario, has induced the authors to proceed with Part II., which is now given to the public. Its leading features are similar to those of the former volume. Parts of the subject which are usually treated in a superficial manner, or wholly omitted, have been given considerable prominence. The difficulties of the subject are presented one at a time, in logical order, preceded, where experience has shown it necessary, by numerical illustrations to prepare the way for more general investigations. Explanatory matter and formal proofs of propositions have been kept distinct, as far as possible, for the convenience of students preparing for written examinations. The more important theorems, which should be read by all students, are given in italics; the remainder might be omitted by junior readers and those who are not candidates for Honors. Originality has not been attempted; yet new views of old theorems will be found in many instances, and new theorems, also, in a few cases. Arts.109, 126 and 152 will probably be found interesting and instructive.
The examples, which are very numerous and varied in their character, have all been tested in the class room, and proved to be suitable before being inserted. Their number is greater than the majority of students will find time for working; but as they are carefully graded it will be easy to select as many as may be desired of any required degree of difficulty. During the first reading of the subject an intelligent solution of from one-half to two-thirds of the examples will be amply sufficient.
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