Sardineta, saturation is when the transistor is fully ON. In saturation, the application of more base current will not result in appreciably more collector current, because the voltage from collector to emitter is nearly zero.
Fig.4 says that, with 10ma of collector current, you might not reach saturation with only 100ua of base current. Standard engineering practice is to set Ic/Ib=10 if you want to guarantee saturation, although, with most transistors, you can use a larger ratio and still be OK I personally wouldn't go higher than Ic/Ib=20. Beta (Hfe) specifications on most transistors are misleading, because the spec is usually at Vce=5v or 10v, but beta is much lower near saturation.
Willi, the y axis of Fig.5 is labeled - it's volts. There are three different curves on that graph. The lower one is collector to emitter voltage when Ic/Ib=10 (so labeled). The upper two are also labeled. Think about it for awhile.