Set all graphics settings to Minimum.
Also, edit My\ Documents/My\ Games/Beyond\ the\ Sword/CivilizationIV.ini
and find the setting:
Code:
; Set max frame rate clamp (0 means none)
SetMaxFrameRate = 60
The default is 0. Not sure if its necessary, i found that on some systems the gfx driver actually limits to 60 by default, but it can't hurt. You can even set it lower, say 30, to save more power. However the drawback is that you'll get noticable stutter while moving on the map.
Another thing you can try and which will help a little with the power needed to draw the gfx is to lower the games resolution. I.e. switch to windowed mode and select something ridiculously low like 1024x768. Sucks to play at that, but i'd do it regardless just as a means to diagnose if the high power draw your system can't cope with comes from the gfx circuits.
Edit: Also, if your laptop mfgtr doesn't suck and has it made to be easily opened and servicable, you should have a look if you can clean out any dust which might have clogged up the cooling system.
Edit2: Apperently could also be a driver issue. Have a look at this thread
http://forums.civfanatics.com/showthread.php?t=545573 I had no idea gfx card makers would still mess up the driver code affecting a 10 year old game.