Well, in the Mac batteries the line is comparable maybe even more flat, but has the same type of "fall-off" at the end.
In the mac the health of a battery is indicated in Applications->Utililies->SystemInformation:
indicated are the health: "normal", "check battery" (aged and not fit anymore), "service" (needs to be replaced).
and also is indicated cycles: in modern MBP's when you near 1000 cycles you have to replace the battery even when health is "normal".
If you do not replace the battery when it says service after awhile the battery may be swelling (causing issues by pressing the keyboard underside or other components) eventually leading to bursting open and leaking. Perhaps this dying-dead period is not so acute as in your Li-po.
Anyway the battery status is peeped to you when sinking below about 10% capacity, which you should observe very well because it is very bad for (every Li-on) battery when depleted completely: in such cases it loses part of the total capacity (this is as important in iPhone and iPad).
There is no safety auto switch-off security nor is there a possibility to set it. Obviously useable battery capacity is an important item (marketed as "battery life" in hours of use...).
Lex