There is no way to do this for the reset button. Note that some browsers will also send the x and y coordinates of the location where the user clicked on the image to the server. HTML text is supposed to be written in the ISO Latin-1 character set. Either ask your Webmaster for access to the log files, or for a server-side include which can do this, or use one of the freeware counters available at the CGI archives. There is no HTML tag to do this.
Counters are quite pointless, though.
They can be set to any value the owner wants, so they don't give you any information. Because of the delay that often occurs when using an external counter, your visitors may get annoyed with the long loading time of your document. The server's logfile provides a lot more reliable information for you, and you don't have to bother your readers with it. Many browsers identify themselves when they request a document. Keep in mind not all browsers identify themselves correctly.