Artificers' Work.-Of Measures.

NOTE. Add as above for any different lengths or widths.

If your stuff is 1 inches thick, add half to it.

If 2 inches thick, you must double it.

The table on the four-fold Rule is not divided.

BOARD MEASURE.

15. This is a measure two feet in length, of an octagonal form, that is, having eight faces.

On the line running round the measure, at the centre, we find the faces of the measure marked, in succession, by the figures 8, 9, 10, 11, 12, 13, 14, and 15; and we shall designate each face by the figure which thus marks it. We will likewise observe, that figures corresponding to these, are also sometimes placed at one end of the

measure.

Now, these figures at the centre of the measure correspond to the length of the board to be measured. Thus, if the board were 13 feet in length-place the thumb on the line 13 at the centre, and then apply the measure across the board, and the number on the face 13, which the width of the board marks, will express the

QUEST.-15. How long is the board measure? How many faces has it? How are they distinguished from each other? What do the figures

at the centre correspond to? How would you measure a board 13 feet long? How would you measure a board 14 feet long? How would you measure a board 18 feet long.

Of Timber Measure.

number of square feet in the board. Thus, if the width of the board extended from 1 to 15, the board would contain 15 square feet.

If the board to be measured was 14 feet long, its content would be measured on face 14. If the board were 18 feet long, measure its width on face S, and also on face 10, and take the sum for the true content of the board.

The Rules described above, are made by Jones & Co, of Hartford, Conn.

SECTION II.

OF TIMBER MEASURE.

1. The methods of measuring both the superficial content of boards and the solid content of timber, by rules and scales, have already been given. We shall now give the more accurate methods by means of figures.

PROBLEM I.

2. To find the area of a board or plank.

RULE.

Multiply the length by the breadth, and the product will be the content required.

QUEST.-1. What methods of measuring timber have already been explained? 2. Give the rule for finding the area of a board or plank.

Of Timber Measure.

NOTE.-3. If the board is tapering, add the breadths of the two ends together, and take half the sum for a mean breadth, and multiply the result by the length.

NOTE 4. The examples may either be done by cross multiplication, or the inches may be reduced to the decimals of a foot, and the numbers then multiplied together.

EXAMPLES.

1. What is the area of a board whose length is 8 feet 6 inches, and breadth 1 foot 3 inches?

2. What is the content of a board 12 feet 6 inches long, and 2 feet 3 inches broad?

Ans. 28 feet 1' 6" or 28,125 sq. ft.

3. How many square feet in a board whose breadth at one end is 15 inches, at the other 17 inches-the length of the board being 6 feet?

Ans. 8.

QUEST.-3. If the board is tapering, how is it found? 4. In how many ways may the examples be done?

Of Timber Measure.

4. How many square feet in a plank, whose length is 20 feet, and mean breadth 3 feet 3 inches?

Ans. 65.

5. What is the value of a plank whose breadth at one end is 2 feet, and at the other 4 feet-the length of the plank being 12 feet, and the value per square foot 10 cents?

PROBLEM II.

Ans. $3,60.

5. Having given one dimension of a plank or board, to find the other dimension such that the plank shall contain a given area.

RULE.

Divide the given area by the given dimension, and the quotient will be the other dimension.

EXAMPLES.

1. The length of a board is 16 feet, what must be its width that it may contain 12 square feet?

16 feet-192 inches

12 square feet 144 × 12-1728 square inches.

Then, 1728 192-9 inches, the width of the board.

=

QUEST.-5. If one dimension of a plank be given, explain the manner of finding the other, so that the plank shall contain a given area?

Of Timber Measure.

2. If a board is 6 inches broad, what length must be cut from it to make a square foot?

Ans. 2 feet.

3. If a board is 8 inches wide, what length of it will make 4 square feet?

Ans. 6 feet.

4. A board is 5 feet 3 inches long, what width will make 7 square feet?

Ans. 1 foot 4 inches.

5. What is the content of a board whose length is 5 feet 7 inches, and breadth 1 foot 10 inches?

Ans. 10 feet 2' 10".

PROBLEM III.

6. To find the solid content of squared or four-sided timber, which does not taper.

RULE.

Multiply the breadth by the depth, and then multiply the product by the length: the result will be the solid content.

EXAMPLES.

1. A squared piece of timber is 15 inches broad, 15 inches deep, and 18 feet long: how many solid feet does it contain?

Ans. 28,125.

QUEST.-6. How do you find the content of squared timber which does not taper?