How old is the laptop? Nicad batteries only typically last 1-2 years. After that, performance degrades and usually one or more cells shorts out from crystal growth. It might happen sooner, depending on use. So, the recharger detects the voltage peak indicating 100% charge, but the voltage is too low to start up your laptop. Check it with a voltmeter to be sure, but I betcha your battery is dead 
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Asus A7V
AXIA T-Bird 1GHz @ 1.266GHz
Pentium IV 2.4C Northwood- M0 stepping @ 3.2GHz HT
Air Cooled w/ SP-94 heatpipe & 92mm Vantex Tornado at 45C
4x256=1gb dual-channel 2-3-3-6 OCZ PC800DRAM @ 890MHz 3-4-4-8
MSI Neo2-PLS w/I865PE & SATA @ 4x267=1068MHz
BFG GeForceFX 5900@485/967MHz = 6284 3DMark2003s; dual-head 21" CRT & 19" LCD
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