Cut a 1/4-inch-wide arced slot into the hinge side of the cabinet door using a router table if the door isn't already pre-cut for the hinge. The table bit should be between 6 and 8 inches in diameter, depending on the size of the hinges. Follow any instructions provided on the packaging for the hinges.
Align the hinge plate so it fits in the arced slot, and secure it into position by drilling the mounting screws through the holes in the hinge plate.
Line up the hinge on the cabinet door to the frame of the cabinet, and mark it with a pencil. Use that mark to line up the other side of the hinge, and secure it in place with mounting screws. Repeat this procedure for the second hinge to fully secure the door to the frame.