The elder cabinetmakers were ' aware of this expedient, and their heavy slab tables will often be found with rails, or cleats to which the legs are fastened, dovetailed into the table top i sliding joint. The presentday methods of using angled metal fasteners to sec table tops to slots in their aprons (C of Figure 2.23) is nothing more thai mechanization of the sliding joint. The same tolerances are afforded by elonga holes when the pocketscrewing method, illustrated in Chapter 2, is us Areas of surface: Triangle Parallelogram Trapezoid Circle Ellipse Regular polygon Cylinder Sphere Calculations base X altitude base X altitude У2 sum of parallel sides X altitude radius squared X 31416 long diameter X short diameter X 0.7854 У2 sum of its sides X perpendicular distance from t center of the polygon to one of its sides sum of areas of both ends f circumference X height diameter squared X 3i4i6 f TNDOOR FURNITURE 1 CONSTRUCTION 1 he designs included in this chapter have been carefully chosen to represent a cross section of the various methods of furniture construction employing the fundamental operations described in the preceding chapter. Within sections, the projects are graduated from examples of relatively elementary workmanship to those requiring more advanced craftsmanship. Although all are considered to be well within the range of average ability, the amateur cabinetmaker is advised to select the simpler projects first, progressing step by step to more complicated joinery according to his demonstrated abilities. Opportunities for machinetool construction are present in all projects, and many turned patterns can be included by the craftsman who possesses one or more woodworking machines. Few suggestions are included as to the kind of wood to be employed. The selection is left to the worker, whose decision will be influenced by the intended use and the finish of the article he plans to construct. Kitchen, bedroom, nursery, and bathroom furniture is often painted and can therefore be constructed from closegrained softwoods. The choice of hardwoods depends upon the other furniture in the room, the design of the piece, and the availability of the desired stock. As we saw in the preceding chapter, the aristocrats of furniture woods are mahogany, walnut, and maple, with gumwood an excellent substitute. Mahogany is automatically associated with Chippendalelike turnings and carvings; walnut is reminiscent of Queen Anne styling and is very popular for modern designs; native maple was a favorite in colonial days and is therefore most suitable for Early American and Colonial designs. In the early stages of his cabinetmaking the beginner will do well to make use of yellow poplar as an allround medium for workshop practice. Of low cost and general availability, it is soft and easy to work. It is variously known as poplar, cottonwood, and whitewood. and is sometimes confused with certain species of the tulip tree.