The following Tables, originally dedicated to 'the National Association of the Forgers of Iron Work,' England, by James Fo-deN, will be found extremely useful to Smiths, generally, and are accompanied by Practical Examples. - TempletoN.

Diameters And Circumferences Of Circles

Diam.

Circ.

In.

Ft.

In

1

0

31/8

1 1/8

0

3

1

0

3 7/8

1 3/8

0

4

1

0

4 5/8

1 5/8

0

5

1

0

5 3/8

1 7/8

0

5 7/8

2

0

6

2 1/8

0

6 5/8

2

0

7

2 3/8

0

7 3/8

2

0

7

2 5/8

0

8 1/8

2

0

8 5/8

2 7/8

0

9

3

0

9 3/8

3 1/8

0

9

3

0

10 1/8

3 3/8

0

10

3

0

10 7/8

3 5/8

0

11 3/8

3

0

11

3 7/8

1

0 1/8

4

1

0

4 1/8

1

0 7/8

4

1

1

4 3/8

1

1 5/8

4

1

2 1/8

4 5/8

1

2

4

1

2 7/8

4 7/8

1

3

5

1

3 5/8

5 1/8

1

4

5

1

4 3/8

5 3/8

1

4 7/8

Diam.

Circ.

In.

Ft.

In.

5

1

5

5 5/8

1

5 5/8

5

1

6

5 7/8

1

6 3/8

6

1

6

6 1/8

1

7 1/8

6

1

7 5/8

6 3/8

1

8

6

1

8 3/8

6 5/8

1

8

6

1

9 1/8

6 7/8

1

9

7

1

9 7/8

7 1/8

1

10 3/8

7

1

10

7 3/8

1

11 1/8

7

1

11

7 5/8

1

11 7/8

7

2

0

7 5/8

2

0 5/8

8

1 1/8

8 1/8

2

1

8

2

1 7/8

8 3/8

2

2

8

2

2 5/8

8 5/8

2

3

8

2

3 3/8

8 7/8

2

3 7/8

9

2

4

9 1/8

2

4 5/8

9

2

5

9 3/8

2

5 3/8

9

2

5

9 5/8

2

6 1/8

9

2

6 5/8

9 7/8

2

7

Diam.

Circ.

Ft

In.

Ft.

In.

0

10

2

7 3/8

0

10 1/8

2

7

0

10

2

8 1/8

0

l0 3/8

2

8

0

10

2

8 7/8

0

10 5/8

2

9 3/8

0

10

2

9

0

10 7/8

2

10 1/8

0

11

2

10

0

11 1/8

2

10 7/8

0

11

2

11

0

11 3/8

2

11 5/8

0

11

3

0

0

11 5/8

3

0

0

11

3

0 7/8

0

11 7/8

3

1

1

0

3

1 5/8

1

0 1/8

3

2

1

0

3

2 3/8

1

0 3/8

3

2 7/8

1

0

3

3

1

0 5/8

3

3 5/8

1

0

3

4

1

0 7/8

3

4 3/8

1

1

3

4

1

1 1/8

3

5 1/8

1

1

3

5 5/8

1

1 3/8

3

6

1

1

3

6 3/8

1

1 5/8

3

6

1

1

3

7 1/8

1

1 7/8

::

7

1

2

3

7 7/8

1

2 1/8

3

8 3/8

1

2

3

8

Diam.

Circ.

Ft.

In.

Ft.

In.

1

2 1/8

3

9 1/8

1

2

3

9

1

2 5/8

3

9 7/8

1

2

3

10

1

2 7/8

3

l0 5/8

1

3

3

11

1

3 1/8

3

11

1

3

3

11 7/8

1

3 3/8

4

0

1

3

4

0 5/8

1

3 5/8

4

1

1

3

4

1 3/8

1

3 7/8

4

1 7/8

1

4

4

2

1

4 1/8

4

2 5/8

1

4

4

3

1

4 3/8

4

3 3/8

1

4

4

3

1

4 5/8

4

4 1/8

1

4

4

4

1

4 7/8

4

5

1

5

4

5 3/8

1

5 1/8

4

5

1

5

4

6 1/8

1

5 3/8

4

6

1

5

4

6 7/8

1

5 5/8

4

7 3/8

1

5

4

7

1

5 7/8

4

8 1/8

1

6

4

8

1

6 1/8

4

8 7/8

1

6

4

9

1

6 3/8

4

9 5/8

1

6

4

10

1

6 5/8

4

10 3/8

1

6

4

10 7/8

Diam.

Circ.

Ft

In

Ft.

In.

1

6 7/8

4

11

1

7

4

11 5/8

1

7 1/8

5

0

1

7

5

0 3/8

1

7 3/8

5

0 7/8

1

7

5

1

1

7 5/8

5

1 5/8

1

7

5

2

1

7 7/8

5

2 3/8

1

8

5

2

1

8 1/8

5

3 1/8

1

8

5

3 5/8

1

8 3/8

5

4

1

8

5

4 3/8

1

8 5/8

5

4

1

8

5

5 1/8

1

8 7/8

5

5

1

9

5

5 7/8

1

9 1/8

5

6 3/8

1

9

5

6

1

9 3/8

5

7 1/8

1

9

5

7

1

9 5/8

5

8

1

9

5

8 3/8

1

9 7/8

5

8

1

10

5

9

1

10 1/8

5

9

1

10

5

9 7/8

1

10 3/8

5

10

1

10

5

10 5/8

1

10 5/8

5

11

1

10

5

11 3/8

1

10 7/8

5

11 3/4

1

11

6

0

1

11 1/8

6

0 5/8

Diam.

Circ.

Ft.

In.

Ft.

In.

1

11

6

1

1

11 3/8

6

l 3/8

1

11

6

1

1

11 5/8

6

2 1/8

1

11

6

2

1

11 7/8

6

3

2

0

6

3 3/8

2

0 1/8

6

3

2

0

6

4 1/8

2

0 3/8

6

4

2

0

6

4 7/8

2

0 5/8

6

5

2

0

6

5

2

0 7/8

6

6 1/8

2

1

6

6

2

1 1/8

6

6 7/8

2

1

6

7

2

1 3/8

6

7 5/8

2

1

6

8

2

1 5/8

6

8

2

1

6

8 7/8

2

1 7/8

6

9

2

2

6

9 5/8

2

2 1/8

6

10

2

2

6

10 3/8

2

2 3/8

6

10

2

2

6

11

2

2 5/8

6

11 5/8

2

2

7

0

2

2 7/8

7

0 3/8

2

3

7

0

2

3 1/8

7

l 1/8

2

3

7

1

2

3 3/8

7

2

2

3

7

2 3/8

2

3 5/8

7

2

2

3

7

3 1/8

2

3 7/8

7

3

2

4

7

3 7/8

2

4 1/8

7

4

2

4

7

4

2

4 3/8

7

5 1/8

2

4

7

5

2

4 5/8

7

5 7/8

2

4

7

6

Diam.

Circ.

Ft.

In. Ft.

in.

2

4 7/8

7

6 5/8

2

5

7

7

2

5 1/8

7

7

2

5

7

7 7/8

2

5 3/8

7

8

2

5

7

8 5/8

2

5 5/8

7

9

2

5

7

9 3/8

2

5 7/8

7

9

2

6

7

10 1/8

2

6 1/8

7

10 5/8

2

6

7

11

2

6 3/8

7

11 3/8

2

6

7

11

2

6 5/8

8

0 1/8

2

6

8

0

2

6 7/8

8

0 7/8

2

7

8

l 3/8

2

7 1/8

8

1

2

7

8

2 1/8

2

7 3/8

8

2

2

7

8

2 7/8

2

7 5/8

8

3

2

7

8

3

2

7 7/8

8

4 1/8

2

8

8

4

2

8 1/8

8

4 7/8

2

8

8

5

2

8 3/8

8

5 5/8

2

8

8

6

2

8 5/8

8

6

2

8

8

6 7/8

2

8 7/8

8

7

2

9

8

7 5/8

2

9 1/8

8

8

2

9

8

8 3/8

2

9 3/8

8

8

2

9

8

9

2

9 5/8

8

9 5/8

2

9

8

10

2

9 7/8

8

10 3/8

2

10

8

10

2

10 1/8

8

11 1/8

2

10

8

11

Diam.

Circ.

Ft

In.

Ft.

In.

2

10 3/8

8

11 7/8

2

10

9

0 3/8

2

10 5/8

9

0 3/4

2

10

9

1 1/8

2

10 7/8

9

1

2

11

9

1 7/8

2

11 1/8

9

2

2

11

9

2 5/8

2

11 3/8

9

3

2

11

9

3

2

11 5/8

9

3 7/8

2

11

9

4

2

11 7/8

9

4 5/8

3

0

9

5

3

0 1/8

9

5 3/8

3

0

9

5 7/8

3

0 3/8

9

6

3

0

9

6 5/8

3

0 5/8

9

7

3

0

9

7 3/8

3

0 7/8

9

7

3

1

9

8 1/8

3

1 1/8

9

8 5/8

3

1

9

9

3

1 3/8

9

9 3/8

3

1

9

9

3

1 5/8

9

10 1/8

3

1

9

10

3

1 7/8

9

10 7/8

3

2

9

ll 3/8

3

2 1/8

9

11

3

2

10

0 1/8

3

2 3/8

10

0

3

2

10

0 7/8

3

2 5/8

10

1

3

2

10

1 5/8

3

2 7/8

10

2 1/8

3

3

10

2

3

3 1/8

10

2 7/8

3

3

10

3 1/8

3

3 3/8

10

3 5/8

3

3

10

4

3

3 5/8

10

4

3

3

10

4 7/8

3

3 7/8

10

5

Diam

Circ.

Ft.

In.

Ft.

In.

3

4

10

5 5/8

3

4 1/8

10

6

3

4

10

6 3/8

3

4 3/8

10

6

3

4

10

7 1/8

3

4 5/8

10

7 5/8

3

4

10

8

3

4 7/8

10

8 3/8

3

5

10

8

3

5 1/8

10

9 1/8

3

5

10

9

3

5 3/8

10

9 7/8

3

5

10

10 3/8

3

5 5/8

10

10

3

5

10

11 1/8

3

5 7/8

10

11

3

6

10

11 7/8

3

6 1/8

11

0

3

6

11

0 5/8

3

6 3/8

11

1 1/8

3

6

11

1

3

6 5/8

11

1 7/8

3

6

11

2

3

6 7/8

11

2 5/8

3

7

11

3

3

7 1/8

11

3 3/8

3

7

11

3 7/8

3

7 3/8

11

4

3

7

11

4 5/8

3

7 5/8

11

5

3

7

11

5 3/8

3

7 7/8

11

5

3

8

11

6 1/8

3

8 1/8

11

6

3

8

11

7

3

8 3/8

11

7 3/8

3

8

11

7

3

8 5/8

11

8 1/8

3

8

11

8

3

8 7/8

11

8 7/8

3

9

11

9

3

9 1/8

11

9

3

9

11

10 1/8

3

9 3/8

11

10

Diam

Circ.

Ft

In.

Ft

In.

3

9

11

10 7/8

3

9 5/8

11

11

3

9

11

11 5/8

3

9 7/8

12

0

3

10

12

0

3

10 1/8

12

0 7/8

3

10

12

1

3

10 3/8

12

1 5/8

3

10

12

2

3

10 5/8

12

2 3/8

3

10

12

2

3

10 7/8

12

3

3

11

12

3 5/8

3

11 1/8

12

4

3

11

12

4 3/8

3

11 3/8

12

4

3

11

12

5 1/8

3

11 5/8

12

5

3

11

12

6

3

11 7/8

12

6 3/8

4

0

12

6

4

0 1/8

12

7 1/8

4

0

12

7

4

0 3/8

12

7 7/8

4

0

12

8

4

0 5/8

12

8

4

0

12

9 1/8

4

0 7/8

12

9

4

1

12

9 7/8

4

1 1/8

12

10

4

1

12

10 5/8

4

1 3/8

12

11

4

1

12

11

4

1 5/8

12

11 7/8

4

1

13

0

4

1 7/8

13

0 5/8

4

2

13

1

4

2 1/8

13

1

4

2

13

1 7/8

4

2 3/8

13

2

4

2

13

2 5/8

4

2 5/8

13

3

4

2

13

3 3/8

4

2 7/8

13

3

4

3

13

4 1/8

Diam.

Circ.

Ft.

In.

Ft.

In.

4

3 1/8

13

4

4

3

13

5

4

3 3/8

13

5 3/8

4

3

13

5

4

3 5/8

13

6 1/8

4

3

13

6

4

3 7/8

13

6 7/8

4

4

13

7

4

4 1/8

13

7

4

4

13

8 1/8

4

4 3/8

13

8

4

4

13

8 7/8

4

4 5/8

13

9

4

4

13

9 5/8

4

4 7/8

13

10

4

5

13

10

4

5 1/8

13

10 7/8

4

5

13

11

4

5 3/8

13

11 5/8

4

5

14

0

4

5 5/8

14

0 3/8

4

5

14

0 7/8

4

5 7/8

14

1

4

6

14

l 5/8

4

6 1/8

14

2

4

6

14

2 3/8

4

6 3/8

14

2

4

6

14

3 1/8

4

6 5/8

14

3

4

6

14

4

4

6 7/8

14

4 3/8

4

7

14

4

4

7 1/8

14

5 1/8

4

7

14

5

4

7 3/8

14

5 7/8

4

7

14

6

4

7 5/8

14

6

4

7

14

7 1/8

4

7 7/8

14

7

4

8

14

7 7/8

4

8 1/8

14

8

4

8

14

8 5/8

4

8 3/8

14

9

4

8

14

9

4

8 5/8

14

9 7/8

Diam.

Circ.

Ft

In.

Ft.

in.

4

8

14

10

4

8 7/8

14

10 5/8

4

9

14

11

4

9 1/8

14

11 3/8

4

9

14

11

4

9 3/8

15

0 1/8

4

9

15

0 5/8

4

9 5/8

15

1

4

9

15

1 3/8

4

9 7/8

15

1

4

10

15

2 1/8

4

10 1/8

15

2

4

10

15

2 7/8

4

10 3/8

15

3 3/8

4

10

15

3

4

10 5/8

15

4 1/8

4

10

15

4

4

10 7/8

15

4 7/8

4

11

15

5

4

11 1/8

15

5 5/8

4

11

15

6 1/8

4

11 3/8

15

6

4

11

15

6 7/8

4

11 5/8

15

7

4

11

15

7 5/8

4

11 7/8

15

8

5

0

15

8 3/8

5

0 1/8

15

8 7/8

5

0

15

9

5

0 3/8

15

9 5/8

5

0

15

10

5

0 5/8

15

l0 3/8

5

0

15

10

5

0 7/8

15

11 1/8

5

1

15

11 5/8

5

1 1/8

16

0

5

1

16

0 3/8

5

1 3/8

16

0

5

1

16

1 1/8

5

1 5/8

16

1

5

1

16

1 7/8

5

1 7/8

16

2 3/8

5

2

16

2

5

2 1/8

16

3 1/8

Diam.

Circ.

Ft.

in.

Ft.

In.

5

2

16

3

5

2 3/8

16

3 7/8

5

2

16

4

5

2 5/8

16

4 5/8

5

2

16

5 1/8

5

2 7/8

16

5

5

3

16

5 7/8

5

3 1/8

16

6

5

3

16

6 5/8

5

3 3/8

16

7

5

3

16

7 3/8

5

3 5/8

16

7 7/8

5

3

16

8

5

3 7/8

16

8 5/8

5

4

16

9

5

4 1/8

16

9 5/8

5

4

16

9

5

4 3/8

16

10 1/8

5

4

16

10 5/8

5

4 5/8

16

11

5

4

16

11 3/8

5

4 7/8

16

11

5

5

17

0 1/8

5

5 1/8

17

0 5/8

5

5

17

1

5

5 3/8

17

1 3/8

5

5

17

1

5

5 5/8

17

2 1/8

5

5

17

2

5

5 7/8

17

2 7/8

5

6

17

3

5

6 1/8

17

3 5/8

5

6

17

4 1/8

5

6 3/8

17

4

5

6

17

4 7/8

5

6 5/8

17

5

5

6

17

5 5/8

5

6 7/8

17

6

5

7

17

6 3/8

5

7 1/8

17

6 7/8

5

7

17

7

5

7 3/8

17

7 5/8

5

7

17

8

5

7 5/8

17

8 3/8

5

7

17

8

Diam.

Circ.

Ft

. in.

Ft.

In.

5

7 7/8

17

9 1/8

5

8

17

9 5/8

5

8 1/8

17

10

5

8

17

10 3/8

5

8 3/8

17

10

5

8

17

11 1/8

5

8 5/8

17

11

5

8

17

11 7/8

5

8 7/8

18

0 3/8

5

9

18

0

5

9 1/8

18

1 1/8

5

9

18

1

5

9 3/8

18

1 7/8

5

9

18

2

5

9 5/8

18

2 5/8

5

9

18

3

5

9 7/8

18

3

5

10

18

3 7/8

5

10 1/8

18

4

5

10

18

4 5/8

5

10 3/8

18

5

5

10

18

5 3/8

5

10 5/8

18

5 7/8

5

10

18

6

5

10 7/8

18

6 5/8

5

11

18

7

5

11 1/8

18

7 3/8

5

11

18

7

5

l1 3/8

18

8 1/8

5

11

18

8

5

11 5/8

18

9

5

11

18

9 3/8

5

11 7/8

18

9

6

0

18

10 1/8

6

0 1/8

18

10

6

0

18

10 7/8

6

0 3/8

18

11

6

0

18

11

6

0 5/8

19

0 1/8

6

0

19

0

6

0 7/8

19

0 7/8

6

1

19

1

6

1 1/8

19

1 5/8

6

1

19

2

Diam.

Circ.

Ft.

In.

Ft.

In.

6

1 3/8

19

2

6

1

19

2 7/8

6

1 5/8

19

3

6

1

19

3 5/8

6

1 7/8

19

4

6

2

19

4 3/8

6

2 1/8

19

4

6

2

19

5

6

2 3/8

19

5 5/8

6

2

19

6

6

2 5/8

19

6 3/8

6

2

19

6

6

2 7/8

19

7 1/8

6

3

19

7

6

3 1/8

19

8

6

3

19

8 3/8

6

3 3/8

19

8

6

3

19

9 1/8

6

3 5/8

19

9

6

3

19

9 7/8

6

3 7/8

19

10

6

4

19

10

6

4 1/8

19

11 1/8

6

4

19

11

6

4 3/8

19

11 7/8

6

4

20

0

6

4 5/8

20

0 5/8

6

4

20

1

6

4 7/8

20

1

6

5

20

1 7/8

6

5 1/8

20

2

6

5

20

2 5/8

6

5 3/8

20

3

6

5

20

3 3/8

6

5 5/8

20

3

6

5

20

4

6

5 7/8

20

4 5/8

6

6

20

5

6

6 1/8

20

5 3/8

6

6

20

5

6

6 3/8

20

6 1/8

6

6

20

6

6

6 5/8

20

7

6

6

20

7 3/8

6

6 7/8

20

7

Diam.

Circ.

Ft

. In.

Ft.

In

6

7

20

8 1/8

6

7 1/8

20

8

6

7

20

8 7/8

6

7 3/8

20

9

6

7

20

9

6

7 5/8

20

10 1/8

6

7

20

10

6

7 7/8

20

10 7/8

6

8

20

11

6

81/8

20

11 5/8

6

8

21

0

6

8 3/8

21

0

6

8

21

0 7/8

6

8 5/8

21

1

6

8

21

1 5/8

6

8 7/8

21

2

6

9

21

2 3/8

6

9 1/8

21

2 7/8

6

9

21

3

6

9 3/8

21

3 5/8

6

9

21

4

6

9 5/8

21

4 3/8

6

9

21

4

6

9 7/8

21

5 1/8

6

10

21

5

6

10 1/8

21

6

6

10

21

6 3/8

6

10 3/8

21

6

6

10

21

7 1/8

6

10 5/8

21

7

6

10

21

7 7/8

6

10 7/8

21

8

6

ll

21

8

6

11 1/8

21

91/8

6

ll

21

9

6

11 3/8

21

9 7/8

6

11

21

10

6

11 5/8

21

10 5/8

6

11

21

11

6

11 7/8

21

11

7

0

21

11 7/8

7

0 1/8

22

0

7

0

22

0 5/8

7

0 3/8

22

1

Diam.

Circ.

Ft

. In.

Ft.

In.

7

0

22

1 3/8

7

0 5/8

22

1 7/8

7

0

22

2

7

0 7/8

22

2 5/8

7

1

22

3

7

1 1/8

22

3 3/8

7

1

22

3

7

1 3/8

22

4 1/8

7

1

22

4

7

1 5/8

22

5

7

1

22

5 3/8

7

1 7/8

22

5

7

2

22

6 1/8

7

2 1/8

22

6

7

2

22

6 7/8

7

2 3/8

22

7

7

2

22

7 5/8

7

2 5/8

22

8 1/8

7

2

22

8

7

2 7/8

22

8 7/8

7

3

22

9

7

3 1/8

22

9 5/8

7

3

22

10

7

3 3/8

22

l0 3/8

7

3

22

10 7/8

7

3 5/8

22

11

7

3

22

11 5/8

7

3 7/8

23

0

7

4

23

0 3/8

7

4 1/8

23

0

7

4

23

1 1/8

7

4 3/8

23

1 5/8

7

4

23

2

7

4 5/8

23

2 3/8

7

4

23

2

7

4 7/8

23

3 1/8

7

5

23

3

7

5 1/8

23

3 7/8

7

5

23

4 3/8

7

5 3/8

23

4

7

5

23

5 1/8

7

5 5/8

23

5

7

5

23

5 7/8

7

5 7/8

23

6

7

6

23

6 5/8

Diam

Circ.

Ft.

In

Ft.

In.

7

6 1/8

23

7 1/8

7

6

23

7

7

6 3/8

23

7 7/8

7

6

23

8

7

6 5/8

23

8 5/8

7

6

23

9

7

6 7/8

23

9 3/8

7

7

23

9 7/8

7

7 1/8

23

10

7

7

23

l05/8

7

7 3/8

23

11

7

7

23

11 3/8

7

7 5/8

23

11

7

7

24

0 1/8

7

7 7/8

24

0 5/8

7

8

24

1

7

8 1/8

24

1 3/8

7

8

24

1

7

8 3/8

24

2 1/8

7

8

24

2

7

8 5/8

24

2 7/8

7

8

24

3 3/8

7

8 7/8

24

3

7

9

24

4 1/8

7

9 1/8

24

4

7

9

24

4 7/8

7

9 3/8

24

5

7

9

24

5 5/8

7

9 5/8

24

6 1/8

7

9

24

6

7

9 7/8

24

6 7/8

7

10

24

7

7

10 1/8

24

7 5/8

7

10

24

8

7

10 3/8

24

8 3/8

7

10

24

8 7/8

7

10 5/8

24

9

7

10

24

9 5/8

7

10 7/8

24

10

7

11

24

10 3/8

7

11 1/8

24

10

7

11

24

11 1/8

7

11 3/8

24

11

7

11

25

0

7

11 5/8

25

0 3/8

Diam

Circ.

Ft.

In

Ft.

In.

7

11

25

0

7

11 7/8

25

1 1/8

8

0

25

l

8

0 1/8

25

1 7/8

8

0

25

2 3/8

8

0 3/8

25

2

8

0

25

3 1/8

8

0 5/8

25

3

8

0

25

3 7/8

8

0 7/8

25

4

8

1

25

4 5/8

8

1 1/8

25

5 1/8

8

1

25

5

8

1 3/8

25

5 7/8

8

1

25

6

8

1 5/8

25

6 5/8

8

1

25

7

8

1 7/8

25

7 3/8

8

2

25

7 7/8

8

2 1/8

25

8

8

2

25

8 5/8

8

2 3/8

25

9

8

2

25

9 3/8

8

2 5/8

25

9

8

2

25

10 1/8

8

2 7/8

25

10

8

3

25

11

8

3 1/8

25

11 3/8

8

3

25

11

8

3 3/8

26

0 1/8

8

3

26

0

8

3 5/8

26

0 7/8

8

3

26

1 3/8

8

3 7/8

26

1

8

4

26

2 1/8

8

4 1/8

26

2

8

4

26

2 7/8

8

4 3/8

26

3

8

4

26

3 5/8

8

4 5/8

26

4 1/8

8

4

26

4

8

4 7/8

26

4 7/8

8

5

26

5

8

5 1/8

26

5 5/8

Diam.

Circ.

F

. In

Ft.

In

8

5

26

6

8

5 3/8

26

6 3/8

8

5

26

6

8

5 5/8

26

7

8

5

26

7 5/8

8

5 7/8

26'

8

8

6

26

8 3/8

8

6 1/8

26

8

8

6

26

9 1/8

8

6 3/8

26

9 1/2

8

6

26

10

8

6 5/8

26

10 3/8

8

6

26

10

8

6 7/8

26

11 1/8

8

7

26

11

8

7 1/8

26

11 7/8

8

7

27

0

8

7 3/8

27

0

8

7

27

1 1/8

8

7 5/8

27

1

8

7

27

1 7/8

8

7 7/8

27

2

8

8

27

2 5/8

8

8 1/8

27

3

8

8

27

3

8

8 3/8

27

3 7/8

8

8

27

4

8

8 5/8

27

4 5/8

8

8

27

5

8

8 7/8

27

5 3/8

8

9

27

5

8

9 1/8

27

6

8

9

27

6 5/8

8

9 3/8

27

7

8

9

27

7 3/8

8

9 5/8

27

7

8

9

27

8 1/8

8

9 7/8

27

8

8

10

27

9

8

10 1/8

27

9 3/8

8

10

27

9

8

10 3/8

27

10 1/8

8

10

27

10

8

10 5/8

27

10 7/8

8

10

27

11

Diam.

Circ.

Ft.

In.

Ft

In.

8

10 7/8

27

11

8

11

28

0 1/8

8

11 1/8

28

0

8

11

28

0 7/8

8

11 3/8

28

1

8

11

28

1 5/8

8

11 5/8

28

2

8

11

28

2

8

11 7/8

28

2 7/8

9

0

28

3

9

0 1/8

28

3 5/8

9

0

28

4

9

0 3/8

28

4 3/8

9

0

28

4

9

0 5/8

28

5

9

0

28

5 5/8

9

0 7/8

28

6

9

1

28

6 3/8

9

1 1/8

28

6

9

1

28

7 1/8

9

1 3/8

28

7

9

1

28

8

9

1 5/8

28

8 3/8

9

1

28

8

9

1 7/8

28

9 1/8

9

2

28

9

9

2 1/8

28

9 7/8

9

2

28

10

9

2 3/8

28

10

9

2

28

11 1/8

9

2 5/8

28

11

9

2

28

11 7/8

9

2 7/8

29

0

9

3

29

0 5/8

9

3 1/8

29

1

9

3

29

1

9

3 3/8

29

1 7/8

9

3

29

2

9

3 5/8

29

2 5/8

9

3

29

3

9

3 7/8

29

3 3/8

9

4

29

3

9

4 1/8

29

4

9

4

29

4 5/8

Dia.

Circ.

F

I.

Ft.

In.

9

4 3/8

29

5

9

4

29

5 3/8

9

4 5/8

29

5

9

4

29

6 1/8

9

4 7/8

29

6

9

5

29

7

9

5 1/8

29

7 3/8

9

5

29

7

9

5 3/8

29

8 1/8

9

5

29

8

9

5 5/8

29

8 7/8

9

5

29

9

9

5 7/8

29

9

9

6

29

10 1/8

9

6 1/8

29

10

9

6

29

10 7/8

9

6 3/8

29

11

9

6

29

11 5/8

9

6 5/8

30

0

9

6

30

0

9

6 7/8

30

0 7/8

9

7

30

1

9

7 1/8

30

1 5/8

9

7

30

2

9

7 3/8

30

2 3/8

9

7

30

2

9

7 5/8

30

3 1/8

9

7

30

3 5/8

9

7 7/8

30

4

9

8

30

4 3/8

9

8 1/8

30

4

9

8

30

5 1/8

9

8 3/8

30

5

9

8

30

6

9

8 5/8

30

6 3/8

9

8

30

6

9

8 7/8

30

7 1/8

9

9

30

7

9

9 1/8

30

7 7/8

9

9

30

8

9

9 3/8

30

8 5/8

9

9

30

9 1/8

9

9 5/8

30

9

9

9

30

9 7/8

9

9 7/8

30

10

Diam.

Circ.

Ft.

In.

Ft.

In

9

10

30

10 5/8

9

10 1/8

30

11

9

10

30

11 3/8

9

10 3/8

30

11 7/8

9

10

31

0

9

10 5/8

31

0 5/8

9

10

31

1

9

10 7/8

31

1 3/8

9

11

31

1

9

11 1/8

31

2

9

111

31

2 5/8

9

11 3/8

31

3

9

11

31

3 3/8

9

11 5/8

31

3

9

11

31

4 1/8

9

11 7/8

31

4

10

0

31

4 7/8

10

0 1/8

31

5 3/8

10

0

31

5

10

0 3/8

31

6 1/8

10

0

31

6

10

0 5/8

31

6 7/8

10

0

31

7

10

0 7/8

31

7 5/8

10

1

31

8 1/8

10

1 1/8

31

8

10

1

31

8 7/8

10

1 3/8

31

9

10

1

31

9 5/8

10

1 5/8

31

10

10

1

31

10 3/8

10

1 7/8

31

10 7/8

10

2

31

11

10

2 1/8

31

11 5/8

10

2

32

0

10

2 3/8

32

0 3/8

10

2

32

0

10

2 5/8

32

1 1/8

10

2

32

1

10

2 7/8

32

2

10

3

32

2 3/8

10

3 1/8

32

2

10

3

32

3 1/8

10

3 3/8

32

3

Diam.

Circ.

Ft.

In.

Ft.

In

10

3

32

3 7/8

10

3

32

4 3/8

10

3

32

4

10

3

32

5 1/8

10

4

32

5

10

4

32

5 7/8

10

4

32

6

10

4

32

6 5/8

10

4

32

7

10

4

32

7

10

4

32

7 7/8

10

4

32

8

10

5

32

8 5/8

10

5

32

9

10

5

32

9 3/8

10

5

32

9 7/8

10

5

32

10

10

5

32

10 5/8

10

5

32

11

10

5

32

11 3/8

10

6

32

11

10

6

33

0 1/8

10

6

33

0 5/8

10

6

33

1

10

6

33

1 3/8

10

6

33

1

10

6

33

2 1/8

10

6

33

2

10

7

33

2 7/8

10

7

33

3 3/8

10

7

33

3

10

7

33

4 1/8

10

7

33

4

10

7

33

4 7/8

10

7

33

5

10

7

33

5 5/8

10

8

33

6 1/8

10

8

33

6

10

8

33

6 7/8

10

8

33

7

10

8

33

7 5/8

10

8

33

8

10

8

33

8 3/8

10

8

33

8 7/8

10

9

33

9

Diam.

Circ.

Ft.

In

Ft.

In.

10

9 1/8

33

9 5/8

10

9

33

10

10

9 3/8

33

10 3/8

10

9

33

10

10

9 5/8

33

11 1/8

10

9

33

11

10

9 7/8

34

0

10

10

34

0 3/8

10

10 1/8

34

0

10

10

34

1 1/8

10

10 3/8

34

1

10

10

34

1 7/8

10

10 5/8

34

2 3/8

10

10

34

2

10

10 7/8

34

3 1/8

10

11

34

3

10

11 1/8

34

3 7/8

10

11

34

4

10

11 3/8

34

4 5/8

10

11

34

5

10

11 5/8

34

5

10

11

34

5 7/8

10

11 7/8

34

6

11

0

34

6 5/8

11

0 1/8

34

7

11

0

34

7 3/8

11

0 3/8

34

7

11

0

34

8

11

0 5/8

34

8 5/8

11

0

34

9

11

0 7/8

34

9 3/8

11

1

34

9

11

1 1/8

34

10 1/8

11

1

34

10

11

1 3/8

34

11

11

1

34

l1 3/8

11

1 5/8

34

11

11

1

35

0 1/8

11

1 7/8

35

0

11

2

35

0 7/8

11

2 1/8

35

1

11

2

35

1

11

2 3/8

35

2 1/8

11

2

35

2

11

2 5/8

35

2 7/8

Diam.

Circum.

Ft

In.

Ft.

In.

11

2

35

3

11

2 7/8

35

3 5/8

11

3

35

4

11

3 1/8

35

4

11

3

35

4 7/8

11

3 3/8

35

5

11

3

35

5 5/8

11

3 5/8

35

6

11

3

35

6 3/8

11

3 7/8

35

6

11

4

35

7

11

4 1/8

35

7 5/8

11

4

35

8

11

4 3/8

35

8 3/8

11

4

35

8

11

4 5/8

35

9 1/8

11

4

35

9

11

4 7/8

35

10

11

5

35

10 3/8

11

5 1/8

35

10

11

5

35

11 1/8

11

5 3/8

35

11

11

5

35

11 7/8

11

5 5/8

36

0

Diam.

Circum.

Ft.

In.

Ft.

In.

11

5

36

0

11

5 7/8

36

1 1/8

11

6

36

1

11

6 1/8

36

1 7/8

11

6

36

2

11

6 3/8

36

2 5/8

11

6

36

3

11

6 5/8

36

3

11

6

36

3 7/8

11

6 7/8

36

4

11

7

36

4 5/8

11

7 1/8

36

5

11

7

36

5 3/8

11

7 3/8

36

5 7/8

11

7

36

6

11

7 5/8

36

6 5/8

11

7

36

7

11

7 7/8

36

7 3/8

11

8

36

7

11

8 1/8

36

8 1/8

11

8

36

8

11

8 3/8

36

9

11

8

36

9 3/8

11

8 5/8

36

9

Diam.

Circum.

Ft.

In.

Ft.

In.

11

8

36

10 1/8

11

8 7/8

36

10

11

9

36

10 7/8

11

9 1/8

36

11

11

9

36

ll

11

9 3/8

37

0 1/8

11

9

37

0

11

9 5/8

37

0 7/8

11

9

37

1

11

9 7/8

37

1 5/8

11

10

37

2

11

10 1/8

37

2

11

10

37

2 7/8

11

10 3/8

37

3

11

10

37

3 5/8

11

l0 5/8

37

4

11

10

37

4 3/8

11

10 7/8

37

4

11

11

37

5

11

11 1/8

37

5 5/8

11

11

37

6

11

11 3/8

37

6 3/8

11

11

37

6

11

11 5/8

37

7 1/8

Diam.

Circum

Ft.

In.

Ft.

In

11

11

37

7

11

1l 7/8

37

7 7/8

12

0

37

8 3/8

12

0 1/8

37

8

12

0

37

9 1/8

12

0 3/8

37

9

12

0

37

9 7/8

12

0 5/8

37

10

12

0

37

10 5/8

12

0 7/8

37

11 1/8

12

1

37

11

12

1 1/8

37

11

12

1

38

0

12

1 3/8

38

0 5/8

12

1

38

1

12

1 5/8

38

1 3/8

12

l

38

1 7/8

12

1 7/8

38

2

12

2

38

2 5/8

12

2 1/8

38

3

12

2

38

3 3/8

12

2 3/8

38

3

12

2

38

4 1/8

12

2 5/8

38

4 5/8

If a Hoop of larger diameter than 12 feet is required, double some number.

Observations on Tables relating to the Diameters and Circumferences of Circles.

I do not intend to enter into any labored argument to prove the general utility of these Tables, as their simplicity and clearness are sufficient to stamp their value to the artist and mechanic. It will be clearly perceived, on inspection, that the Table commences with as small a diameter as is generally used in hoops and rings, viz. one inch, and increases by the regular gradation of one-eighth of an inch, to upwards of twelve feet; and in the column marked Circumference, against each Diameter stand the respective circumferences: hence all that is necessary on inspecting these Tables is to enter into them with any proposed diameter or circumference, and an answer to the inquiry is immediately obtained.

Example.- Required the circumference of a circle, the diameter being 8 feet 7 7-8 inches?

In the column of circumferences, opposite the given diameter, stands 27 feet 2 inches, the circumference required.

But it will be necessary to observe, that in the formation of hoops and rings a contraction of the metal takes place. Now, the just allowance for this contraction is the exact thickness of the metal, which must be added to the diameter.

Ex. - In making a hoop whose diameter inside is 6 feet 9 1-8 inches, the thickness of the iron being inch, this inch must be added to the given diameter, which will make it 6 feet 9 5-8 inches; this will allow 1 5-8 inch for the contraction in bending in a hoop of the above diameter, giving the circumference or length of iron required for the hoop, 21 feet 4 3-8 inches.

The foregoing example appertains to the formation of hoops or iron bent on the flat; but in the formation of rings or iron bent on the edge, the same rule must also be followed, only taking care to add the breadth instead of the thickness. As for example:

To make a ring whose inside diameter is 8 feet 2 inches, the breadth of the iron being 2 inches; by adding the 2 inches to the given diameter, will increase it to 8 feet 4 inches; opposite to this diameter in the column of circumferences stands 26 feel 4 inches, being the length of iron necessary for the ring.

The foregoing observations relate more particularly to plain hoops and rings; but as respects the hoops that are on the wheels of railway carriages, a difference must be observed, which is as follows: These hoops having a flange projecting on the one edge of the surface, it will be necessary, in addition to the thickness of the metal, to add two-thirds of the thickness of the flange to the diameter, as the flange side would contract considerably more than the plain surface; this is supposing the tires are in a straight form, but, in general, they come from the iron-works in a curved state. In the latter case, it will be only necessary to add the thickness of the bare metal, as the aforesaid portion of the thickness of the flange is allowed for in the curve. It has been found that the curve may be exactly obtained, by using four times the circumference of the hoop as a radius.

If the tire has not been previously curved, it may easily be done in the operation of bending; the smith must pay particular attention to this, or he will have his hoop bent in an angle.

But the practical utility of this Table is not confined to smiths alone; to the millwright it will be found equally useful and expeditious, as on a bare inspection of the Table he may ascertain the diameter of any wheel tha may be required to be made, the pitch and number of teeth being given.

Ex.-Suppose a wheel were ordered to be made to contain sixty teeth, the pitch of the teeth to be 3 7:8 inches, the dimensions of the wheel may be ascertained simply as follows:

Multiply the pitch of the tooth by the number of teeth the wheel is to contain, and the product will be the circumference of the wheel: thus with one-half of this number as a radius, the circumference of the wheel will be described.

3 7/8 inches pitch of the tooth.

Diameters And Circumferences Of Circles 59

However, by inspecting the column marked Circumference, I find the nearest number to this is 19 feet 4 3-8 inches, which is the eighth of an inch less than the true circumference; but if this 1.8 were divided into 60 equal parts, it would not make the difference of a single hair's-breadth in the size of each tooth; so that it is sufficiently near for any practical purpose. The diameter answering to this circumference is 6 feet 2 inches; consequently.