Synopses & Reviews
Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: DEFINITIONS, CONCEPTS, AUXILIARIES. INTRODUCTORY CHAPTER. I.?Anything is appreciable which is capable of recognition. 2?One of two things is said to be equal to the other when either may be put for the other and, when so put, will produce all the effects of that other, or effects which are not appreciably different from those of that other. 3.?It is evident that if each single thing in a group is equal to a certain definite thing outside the group, any single thing in the group is equal to any other single thing in it. 4.?The sign of equality is =. When placed between two expressions, it is read is (or are) equal to,or, more briefly, equals (or equal). a = b means that the thing (not necessarily a number) represented by a equals that represented by b. This chapter is here inserted because it belongs here logically and not peda- gogically. The instructor will select such portions of it as he needs to use for introduction and leave the rest for later discussion or for reference as occasion may arise- 5.?Ona of two things is said to be equivalent to the other when the two can be conceived to be divided into parts such that for every part in one there is an equal part in the other, no part of either being taken to correspond to more than one part of the other. 6.?It is evident that if each of the things in a certain group is equivalent to a certain thing outside the group, any one thing in the group is equivalent to any other one thing in it. 7.?The sign of equivalency is z:. When placed between two expressions, it is read is (or are) equivalent to, or, more brie-fly, equivales (or equivale.) a m b means that the thing (not necessarily a number) represented by a equivales that represented by b. 8.?The first of two things is said to be larger ...
Synopsis
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