This section is from the book "Elements Of Construction", by Charles A. King. Also available from Amazon: Elements of construction.
Mitered Halved Joint. Fig. 127.
Material: 2 pieces, 6" X 1 1/2" X 7/8".
This joint may be used in making a strong corner at any angle where it is necessary to show a miter upon one side, in order to allow moldings to intersect, as in a heavy picture or a mirror frame. It is, as its name implies, a combination of the halved and miter joint, the miter occupying one half of the thickness; or, if a molding is being fitted together, the miter should be thick enough to insure that all the members of the molding will be upon one side of the half cut.
Smooth and sandpaper separately; do not fasten together.

Fig. 127. - Mitered Halved Joint.
 
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