The Disc you have is what's called also a Drop-in upgrade Disc, issued to people that bought Macs with 10.5.x installed a month or so before 10.6 was released, Apple issued them for free.
You need the Retail Install Disc...
Snow Leopard/10.6.x Requirements...
General requirements
* Mac computer with an Intel processor
* 1GB of memory (I say 4GB at least, more if you can afford it)
* 5GB of available disk space (I say 30GB at least)
* DVD drive for installation
* Some features require a compatible Internet service provider; fees may apply.
* Some features require Apple’s MobileMe service; fees and terms apply.
Which apps work with Mac OS X 10.6?...
http://snowleopard.wikidot.com/
Call Apple Sales...in the US: 1-800-MY-APPLE. Or Support... 1-800-275-2273
Other countries...
http://support.apple.com/kb/HE57
It looks like they might still have it...
http://store.apple.com/us/product/MC573Z/A?fnode=MTY1NDAzOA
If it's a core Duo & not a Core2Duo, then it'll only run in 32 bit mode.