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A T-Square is a drafting tool for drawing straight horizontal and vertical lines, relative to the edge of the drafting board.
Generally a ruler is a straight edge, but it can be anything... I generally just use a spare pencil.
Caliper. Micrometer
A compass and straight edge are used to create a polygon but do not limit the number of sides of the polygon created. You have to decide that separately, then use the compass and straight edge to make what you decide on.
One may purchase a straight edge razor at Vintage Edge Razor. They supply blades, handles and complete kits. These are nice gifts for any man who prefers to use this style of razor.