| 2 (z1 − z3) = | OM2 − 2OM·ON cos θ + ON2 | = | MN2 | . |
| OM·ON | OM·ON |
(51)
With z2 = z3, κ = 0, K = ½π; and the number of beats per second of the axis is
| m | = | n | √ | z1 − z3 | = | MN | n | , | |
| π | π | 2 | √ (OM·ON) | 2π |
(52)
beating time with a pendulum of length
| L = | l | = | 4OM·ON | l. |
| ½ (z1 − z3) | MN2 |
(53)
The wheel making R/2π revolutions per second,
| beats/second | = | MN | n | = | C | · | MN | , | |
| revolutions/second | √ (OM·ON) | R | A | OC′ |