I am not familiar with the particular model. I assume it will boot from a USB drive.
Begin by installing Tiny Core on a USB drive using another computer. To do this, run Tiny Core from the CD on the other computer. Connect to the internet. Install dosfstools and syslinux. Run USB Installation from the menu (right click). Use the Ext option.
Run Tiny Core from the USB drive. Connect to the internet. Install programs you want on the USB drive.
You can then connect the USB drive to the other computer and run Tiny Core from the USB drive.
You may continue to run Tiny Core from the USB drive, or
If you install the correct extensions on the USB drive, you can use it to install Tiny Core on a computer.
Option 1. If you install dosfstools and syslinux on the USB drive, you can use USB installation to install Tiny Core on the computer.
Option 2. You can install a partitioning program such as cfdisk or gparted to create an Ext3 partition. Also install Grub, and use it to set up the Grub bootloader.
If you use option 2, use the installation methods on these pages, and modify as appropriate.
http://www.tinycorelinux.com/install.htmlhttp://wiki.tinycorelinux.com/tiki-index.php?page=Installing+TC+-+Alternate+Offline+Guide