Note - You should be logged in with Farm administrator with local admin on the server, otherwise this option will not be visible.

When you click on the "Manage Services" on server link, you will be landed on Services on the server. This page will give you the information about the services on a single server. This page looks like the same as services in farm but in a slightly different manner. I will explain it in a little bit.

This farm consists of two SharePoint servers, this page list the Services on the individual Server (one you selected). On this page, you will get the option to start a service instance or stop it. The following information will be on the page.

How to select different Servers?

How to change the View.

See Also

Manage Services on Server (direct Link).