Cut across  

cuts by striking across the keima, away from the supporting black stones. This is generally preferable to cutting at a. White can dodge the cut by answering at b rather than a:

Hane away from the position  

This ( and ) is not necessarily the continuation, but by playing the hane away from the position, White limits the loss to .

Hane into the position  

To push through is usually bad.

Black cuts easily with and now two white stones are cut off.

The other cut  

Not striking across the keima, but cutting at as in this diagram is considered vulgar, since White sacrifices easily to build good shape. Black has captured but one stone.

White's natural moves are good moves: blocking at , and either sacrificing in order to make shape as in this diagram, or extending as in the next diagram:

Extending  

If the surrounding position is strong enough, White can extend (stretch).

This is unlikely to occur, however, for if White were strong around, Black should not want to cut through the keima anyway.

Retsugen (W) vs. Shunsaku  

In this example is a sacrifice for shape and sente.

togo: Connection in sente I would say. The shape does not look very spectacular to me.

Example 2: Sacrifice

Jowa (W) vs. Sakurai Chitatsu  

is a sacrifice for shape, sente, and aji.

togo: Black gets a second eye in sente, if I see correctly.

Example 3: Sacrifice

Jowa (W) vs. Ito Shusuke  

is a sacrifice, mainly for territory.

togo: Connects in sente, I would say.

Example 4: Settle group

Jowa (W) vs. Mizutani Takujun  

could be a sacrifice for territory. However, . . .

Jowa - Takujun (cont.)  

White ends up capturing the stone and settling his group in sente.

Example 5: Shinogi

Ito Showa (W) vs. Yasui Sanchi  

Black uses not one, but two tsukekoshi in a row to make life.

Example 6: Sabaki

Hashimoto Utaro (W) vs. Go Seigen  

Hashimoto sacrifices to skillfully negotiate treacherous waters.