I have obtained the
following results:
---------+------------+-----------+-----------------------------------
| | | By integraph.
Radius | | By |--------+--------+--------+--------
of | Calculated |Planimeter.| | Upper | | Upper
circle. | areas. | |Middle. | end. |Middle. | end.
| | |p=2 in. |p=2 in. |p=4 in. |p=4 in.
---------+------------+-----------+--------+--------+--------+--------
in. | | | | | |
1 | 3.14159 | 3.140 | 3.140 | 3.138 | 3.120 | 3.120
| | | | | |
2 | 12.56636 | 12.55 | 12.36* | 12.546 | 12.568 | 12.552
| | | | | |
3 | 28.27431 | 28.24 | ...... | ...... | 28.280 | 28.288
---------+------------+-----------+--------+--------+--------+--------
* Cross bar had to be moved during tracing.
From this it follows that the error of the planimeter is less than 0.1
per cent. and that of the integraph about 0.
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