ARTIFICERS MEASURING.

SLIDING RULE,

THIS

HIS inftrument is two feet in length, much ufed in taking dimenfions, and in cafting up the contents. One of its fides is provided with a flider, or flip, both fides of which are divided in the fame logarithmic manner with one of the sides of the rule. On the other fide of the flider is another line, marked the girt line, and is useful in cafting up folids. Befides, at the divifions 17.15, and 18.95, are marked w. G. and A. G. the wine and ale gauge points, for the purpose of gauging wine and ale by this rule.

This rule is fo well known, that it is unneceffary to give a tedious defcription of its properties or conftruction. We fhall only give a few rules to fhew its utility.

PROB. I. To multiply any two numbers.

RULE. Set I on the flip to one of the factors on the stock, and over against the other factor on the flip you have the product on the stock.

PROB. II. To divide by the fiding rule.

RULE. Set the divifor on the flip to the dividend on the stock, and against on the flip you have the quotient on the stock.

PROB. III. To fquare a number by the flide rule.

RULE. Set on the flip to the given number on the stock and against the given number on the flip you have the fquare on the stock.

PROB. IV. To extract the square root by the fliding rule.

RULE. Set 1 or 100 on the flip to 1 or 10 on the girt line, and over against the given number on the flip you have the root on the girt line.

PROB. V. To perform the rule of three by the fliding rule.

RULE. Set the first term on the flip to fecond term on the ftock, and over against the third ferm on the flip you have the anfwer on the stock.

PROB. VI. To cafl up fuperficies by the fliding rule.

RULE, Set the breadth in inches on the flip to 12 on the stock, and against the length in feet on the stock you have the content on the flip in square feet and decimal parts.

PROB VII. To find the folid content of Squared timber.

RULE. Set the length in feet on the flip to 12 on the girt line, and against the fide of the square in inches on the girt line is the content in folid feet on the flip.

PROB. VIII. To find the folid content of four-fided timber, whofe bafe is an oblong; that is, whofe breadth is greater than its thicknefs.

RULE. Multiply the breadth by the thickness by Prob. 1. and extract the fquare root of their product by Prob. 4. With

this fquare root, as the fide of the fquare, work as directed in Prob. 7. and you have the answer.

MEASURING OF BOARD AND TIMBER.

PROBLEM I.

To find the fuperficial content of a board or plank.

RULE I.

Multiply the length by the breadth, and the product is the

area.

RULE 2. If the board is tapering, add the breadth of both ends together, and multiply half the fum by the length for the

area,

EXAMPLE I.

Decimally.

Required the area of a plank 15 inches broad and 18 feet

long.

By the Slide rule.

Set 15, the breadth in inches, on the flip, to 12 on the stock, and oppofite to 18, the length in feet, on the ftock, you have 22 feet on the flip.

Ex. 2. Required the content of a plank 16 feet 3 inches long, and 18 inches broad. Anf. 24 feet 4 inch. 6 parts.

Ex. 3of a plank 224 feet long 19 inches broad.

Anf. 36 feet 11 inch. 7 parts 6"

Ex. 4.30 feet long and 14 inches broad.

Anf. 35 feet 4 inch. 8 parts.

Ex. 5.25 feet long and 19 inches broad.

Anf. 39 feet to inch. 2 parts.

Ex. 6.34 feet long and 21 inches broad.

Anf. 60 feet 4 inch. 6 parts.

Ex. 7274 feet long and 151 inches broad.

Anf. 35 feet 2 inch. 4 parts 6′′.

Ex. 8.32 feet long and 134 inches broad.

Anf. 35 feet 5 inch. 1 part 3′′.

Ex. 9.23 feet long and to inches broad.

Anf. 19 feet 3 inches 3 parts. 5′′

Ex. 10-12 feet long and 9 inches broad.

Anf. 9 feet 2 inch. 3 parts.

Ex. 11.10 feet long and 6 inches broad.

Ex. 12.15 feet long and 8

Anf. 5 feet 2 inches. inches broad.

Anf. 10 feet 4 inches 5 parts 3′′.

Ex. 13-19's feet long and 8 inches broad.

Anf. 12 feet 8 inches.

Ex. 14.29 feet long and 22 inches broad.

Anf. 53 feet 2 inches.

Ex. 15.391 feet long and 16 inches broad.

Anf. 52 feet 8 inches.

PROBLEM

PROBLEM II.

To find the folid content of square timber.

RULE.

Multiply the three dimenfions continually, and the last product will be the folidity.

EXAMPLE I.

Required the folid content of a tree 18 feet long, and 18 inches the fide of the fquare.

Set 18 feet, the length, on the flip, to 12 on the girt line,

and