Immagini della pagina

extensive course, let him be transferred from that work to the place at which he has arrived in this, and thus be saved the loss of time and the perplexity which must ensue from studying two different treatises on the same subject, whether they be by the same, or by different authors. In this way the pupil's course will be constantly progressive. The author has esteemed it a matter of great importance to adapt his two Arithmetics, as well as his two Algebras, to this uninterrupted progression of studies.

A KEY containing all the Miscellaneous Exercises in this work, and the Miscellaneous Exercises in Mensuration in the elementary one, with their solutions, has been published, to save time to the Teacher, and to facilitate his necessary labors, whatever may be his competency as an Arithmetician.

In the first editions of his Arithmetics, the author adventured some rather violent changes in the common arrangement and nomenclature of this science. So far as he has learned, these innovations have been approved by all who have used or examined his books. He is himself fully confirmed in his convictions of their propriety; and retains them in the revised editions, as improvements in the logic of the science, and as thereby facilitating its acquisition.


March 7th, 1856.


This ANALYSIS is designed to be used in oral examinations, in
review. The Teacher will name the topic as presented in this table;
the Learner will respond according to his knowledge of the subject.

For example; the Teacher will say, "Arithmetic;" the Learner will

respond, "Arithmetic is the science of numbers; when practically ap-

plied, it becomes the art of calculation."


ADDITION-HOW the Sum found may be regarded--The Sign +, plus,

(18). To add two or more numbers together (19).-How the Ope-

ration is proved (20).

SUBTRACTION-What the less Number is called-The greater-What of
the Difference (21).-Addition and Subtraction, how related to each

[ocr errors]

other-What given, and what to be found in each-The Sign -,
minus, (22).—Constant Difference (23).—To subtract a less Number
from a Greater (24).—The Operation Proved (25).

[ocr errors]
[blocks in formation]



A DECIMAL FRACTION-What the first Figure after the decimai point

denotes, the second, the third, &c., and how they may all together be

How a Quantity is sometimes expressed-Scale of increase in the Units
of Federal Money (101).-Troy Weight (102).-Avoirdupois Weight
(103)-Apothecaries' Weight (104).—Dry Measure (105).—Beer
Measure (106).-Wine Measure (107).-Linear Measure (108).—
Cloth Measure (109).-Square Measure (110).-Cubic or Solid Mea.
sure (111).--Circular Measure (112).--Measure of Time (113).-Eng-
lish Money, (114).-Values of a Shilling in Different States (115).

« IndietroContinua »