Author： Vautaw William R.
Publisher： Mathematical Association of America
ISSN： 1931-1346
Source： The College Mathematics Journal, Vol.39, Iss.2, 2008-03, pp. : 121-128
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Abstract
We solve two problems that arise when constructing picture frames using only a table saw. First, to cut a cove running the length of a board (given the width of the cove and the angle the cove makes with the face of the board) we calculate the height of the blade and the angle the board should be turned as it is passed over the blade. Second, to construct a rectangular frame whose outer edges will slant out from a wall, we calculate the angles at which the ends of the pieces must be mitered and beveled. The solutions use analytic geometry, trigonometry, vector analysis, and differential calculus.
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