# Woodwork for Secondary Schools; A Text-Book for High Schools and Colleges, Prevocational Elementary Industrial Schools

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 edition. Excerpt: ...setting of the tool, remember that the sum of all the angles about a point is 360; that the angle A, Fig. 280, in any regular polygon will be 360 divided by the number of sides possessed by the polygon. Again, the sum of the three angles of any triangle equals 180; therefore, angles B, ., and B' being equal will be equal each to Mitered Hopper.... Joint one-half the remainder obtained by subtracting angle A from 180. This fact might have been expressed in a simple formula; the student may do this for himself. Fig. 279. Bevel Placed For The combination square, Fig. 40, makes possible any setting in degrees that may be desired. It must be remembered that the method of laying out a hopper just described is applicable only where the edges are made parallel with the base. The principle used in obtaining the angular measurement for a miter cut of a hopper of any number of sides applies with equal force to segmental work in carpentry, pattern-making and cabinet-work. In Fig. 281, for il lustration, the miters for the base, as well as the column, will be obtained in this manner. The shade is nothing more than a hopper inverted and may be laid out like a hopper. The beginner may have observed that he has no way of testing a mitered edge on the shade except by means of the lines drawn across the top and bottom edges with the straight lines on the surfaces connecting these. That is, he cannot by the method described, determine a setting for his bevel or combination square for a test across a mitered edge with the beam on a face surface. It is possible to determine this angle, but it involves geometry which the high-school boy will not have had in the early years. The method given will produce satisfactory results. 166. Doweled Joint.--In the construction of...