A New and Easy Introduction to the Mathematics

The number of days' schooling charged to A is 145, and

I find, by the table, that

The share for 100 days is $4.212

for 40 do.

1.685

In the same man

ner I find the shares of B, C, D, E and F.

The following questions are proposed to Algebraists. If a solid globe of glass at the furnace, whose diameter is 8 inches, be blown into hollow globe until the shell be but one-tenth of an inch in thickness, what will then be its diameter, and how much wine will it hold? Ans. Diame

ter of its cavity 29.1118+inches-content 55 gallons, 3qt. 1 pt.+

If two wheels, one 4 feet in diameter, and the other 5 feet, be connected together by an axletree one rod in length, and set a rolling on a plain until they describe two concentric circles, what will be the diameter of each of these circles. Ans. 8 rods, and 10 rods. A ball, descending by the force of gravity from the top of a tower, was observed to fall half the way in the last second of time: Required the whole time of descent, and the height of the tower.

Ans. Time 3.414+seconds-height 186 feet, 6 in.+

ERRATA.

Page 27, first line below the Subtraction Table, for " may read thus," read "may be read thus."

27, line 3 from bottom, for " downwards," read "upwards."

57, line 4 from bottom, for "comes," read “will come."

58, Supplement to Division, 1st article of the Rule, in part of the edition, after the word "fraction," insert "to the product add the numerator." "161, at the beginning of the 2d line from the top, the number "64" is wanting, in a few copies. “162, Ex. 3, first line above the Ans., for "1qt." read "2qt."

162, line 2 from bottom, for "to," read "with."

In a few copies the answers to question 7, page 186, and question 1, page 194, are erroneous-the former answer should be "$2.3736," and the latter "$76.406+"

"310, Ex. 3, in the question, for "$100," read “$200.” "316, line 8 from top, for " hexigon," read "hexagon."

75lb."

Page 374, Quest. 80th, for "two-fifths," read "one-twelfth."
377, Ans. to quest. 90th, for "25lb.,” read
387, Ex. 3d, for "18s. 4d." read "16s. 8d."
The two last errors are in but a few copies.
394, 3d line fr. bot. insert the article "a" after "into."