Keeping one checked gamma triangle shows moving length scaling with rest length. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Five rest metres measure four moving metres

Rest length 5 m divided by gamma 5/4 gives moving length 4 m.

5÷54=45\div\frac{5}{4}=4
Length contractionGamma divides the rest length along motion.speedquiet leglimitbetagammarest lengthmoving length

Ten rest metres measure eight moving metres

Rest length 10 m gives moving length 8 m under the same gamma.

10÷54=810\div\frac{5}{4}=8
Length contractionGamma divides the rest length along motion.speedquiet leglimitbetagammarest lengthmoving length

Fifteen rest metres measure twelve moving metres

The third row keeps the same speed triangle. Rest length 15 m gives moving length 12 m.

15÷54=1215\div\frac{5}{4}=12
Length contractionGamma divides the rest length along motion.speedquiet leglimitbetagammarest lengthmoving length