Compass, divider, and caliper are basically instruments that have two legs pivoted to each other at the top and are concerned with small-distance measurement or transfer. The compass and divider have straight legs; the caliper has curved legs.

The terms compass and divider are often interchanged, for each instrument can be used to draw circles, mark divisions (divide a given distance), or simply mark a distance. Technically, a compass is a drafting instrument that has one pen or pencil point and one sharp point that is positioned at the centre of the circle to be described, while a divider, on the other hand, has two sharp points, one for the centre and the other for scribing or marking. Caliper is a corruption of calibre, the diameter of a hole (as in a firearm) or of a cylindrical or spherical body. The outside caliper has inwardly curved legs that measure the diameters of solids created by rotating tools, such as lathe-turned objects, and the inside caliper has outwardly curved legs for measuring bores.

Dividers and calipers were known to both the Greeks and Romans, though the caliper was uncommon. A divider with a circular sector, or wing, connecting the two legs was sketched in 1245; its modern counterpart is the wing divider with a thumbscrew clamp and screw for fine adjustment. The caliper is mentioned in the Middle Ages, but the divider was the principal tool of the architect working on full-scale layouts of stonework, such as in the construction of a cathedral. Such dividers were large, often half as tall as a man. The divider underwent refinements that made it an important drafting instrument for Albrecht Dürer and Leonardo da Vinci; Leonardo suggested improvements that included the knuckle-joint hinge (to increase rigidity) and the adjustable proportional divider (Roman proportional dividers had a fixed pivot that gave only one ratio). Leonardo’s notes also show the beam compass with a screw adjustment for large radii, as well as a compass that had interchangeable points, in which one leg had a clamp for different drawing media, such as graphite or chalk.

Chalk line

“Snapping a line,” a technique familiar in ancient Egypt, is employed in modern building construction. The procedure uses a taut chalk-covered cord that is stretched between two points: the cord deposits a straight line of chalk when it is plucked and snapped onto the surface. After 5,000 years the only change in this technique is that, whereas the Egyptians used wet red or yellow ochre, the modern craftsperson follows the method of Greek masons who employed white and red chalks in addition to wet ochre.

Rules

The unit of linear measure in the ancient world, the cubit, was simply the length from the elbow to the extremity of the middle finger. Although the cubit gave an order of magnitude, it was hardly a standard, and it varied widely in different times and places.

One of many royal Egyptian cubits had a length of 52.43 cm (20.64 inches). It was divided into seven palms (measured across the fingers, not the knuckles), making a palm almost three inches. Each palm was, in turn, divided into four digits of about three-quarters of an inch apiece. Thus, 1 cubit = 7 palms = 28 digits. On occasion, digits were subdivided into 10ths, 14ths, or 16ths.

The common rule of Egyptian masons and carpenters was made of wood, had a narrow cross section, and had one beveled edge, with the two left-hand palms carrying the smaller divisions of digits. Some Egyptian rods were made of stone and used digits divided into 16ths. These may have been ceremonial rods or, perhaps, master gauges for calibration and comparison; their brittleness would make them unsuitable for the rough handling received by mason’s tools.

The Romans introduced folding rules of bronze in 30- and 15-cm (12- and 6-inch) sizes. These were probably “pocket” instruments for officials—too expensive to be used by ordinary craftspersons, who probably used plain strip rules.

Only scanty evidence exists that graduated rules were used in the Middle Ages and the Renaissance; plain straightedges seem to have predominated. In 1683 an English writer described foot rules as having 1/8-inch (0.32-cm) subdivisions. The folding rule, now made of wood, reappeared at the end of the 17th century.

Measurement was long characterized by great national and regional differences. Because every large city in Europe and most towns had a different but locally standard “foot,” rules with four different graduations (one on each face) were made.

Power tools

A power tool is technically a power-driven hand tool or portable power tool; these names distinguish it from the stationary power tool such as the drill press. While power tools are generally driven by electricity, the category also includes small pneumatic tools driven by compressed air, such as air impact wrenches and hammers. Gasoline-engine-driven tools (chain saws, gas-powered drills, and so on) are not included.

The most popular power tools are the electric drill and the electric circular saw. Like its manual counterpart, the electric drill rotates a tool bit, but the circular saw has no manual prototype. Jigsaws, sabre, and reciprocating saws have familiar blades, as do electric screwdrivers, but many power tools are contemporary creations built around the ubiquitous electric motor. Among modern power tools are polishers, several kinds of sanders (circular, belt, oscillating, and reciprocating), shears, and nibblers. Power tools, in limited commercial and industrial use before World War II, are now produced by the millions, largely for the home workshop.

Richard S. Hartenberg The Editors of Encyclopaedia Britannica
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carpentry, the art and trade of cutting, working, and joining timber. The term includes both structural timberwork in framing and items such as doors, windows, and staircases.

In the past, when buildings were often wholly constructed of timber framing, the carpenter played a considerable part in building construction; along with the mason he was the principal building worker. The scope of the carpenter’s work has altered, however, with the passage of time. Increasing use of concrete and steel construction, especially for floors and roofs, means that the carpenter plays a smaller part in making the framework of buildings, except for houses and small structures. On the other hand, in the construction of temporary formwork and shuttering for concrete building, the carpenter’s work has greatly increased.

Because wood is widely distributed throughout the world, it has been used as a building material for centuries; many of the tools and techniques of carpentry, perfected after the Middle Ages, have changed little since that time. On the other hand, world supplies of wood are shrinking, and the increasing cost of obtaining, finishing, and distributing timber has brought continuing revision in traditional practices. Further, because much traditional construction wastes wood, engineering calculation has supplanted empirical and rule-of-thumb methods. The development of laminated timbers such as plywood, and the practice of prefabrication have simplified and lowered the cost of carpentry.

The framing of houses generally proceeds in one of two ways: in platform (or Western) framing floors are framed separately, story by story; in balloon framing the vertical members (studs) extend the full height of the building from foundation plate to rafter plate. The timber used in the framing is put to various uses. The studs usually measure 1.5 × 3.5 inches (4 × 9 cm; known as a “2 × 4”) and are spaced at regular intervals of 16 inches (41 cm). They are anchored to a horizontal foundation plate at the bottom and a plate at the top, both 2 × 4 timber. Frequently stiffening braces are built between studs at midpoint and are known as noggings. Window and door openings are boxed in with horizontal 2 × 4 lumber called headers at the top and sills at the bottom.

Floors are framed by anchoring 1.5 × 11-inch (4 × 28-centimetre) lumber called joists on the foundation for the first floor and on the plates of upper floors. They are set on edge and placed in parallel rows across the width of the house. Crisscross bracings that help them stay parallel are called herringbone struts. In later stages, a subfloor of planks or plywood is laid across the joists, and on top of this is placed the finished floor—narrower hardwood planks that fit together with tongue-and-groove edges or any variety of covering.

The traditional pitched roof is made from inclined studs or rafters that meet at the peak. For wide roof spans extra support is provided by adding a horizontal cross brace, making the rafters look like the letter A, with a V-shaped diagonal support on the cross bar. Such supports are called trusses. The principal timbers used for framing and most carpentry in general are in the conifer, or softwood, group and include various species of pine, fir, spruce, and cedar. The most commonly used timber species in the United States are Canadian spruces and Douglas fir, British Columbian pine, and western red cedar. Cedar is useful for roofing and siding shingles as well as framing, since it has a natural resistance to weathering and needs no special preservation treatment.

A carpenter’s work may also extend to interior jobs, requiring some of the skills of a joiner. These jobs include making door frames, cabinets, countertops, and assorted molding and trim. Much of the skill involves joining wood inconspicuously for the sake of appearance, as opposed to the joining of unseen structural pieces (see joint).

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The standard hand tools used by a carpenter are hammers, pliers, screwdrivers, and awls for driving and extracting nails, setting screws, and punching guide holes, respectively. Planes are hand-held blades used to reduce and smooth wood surfaces, and chisels are blades that can be hit with a mallet to cut out forms in wood. The crosscut saw cuts across wood grain, and the rip saw cuts with the grain. Tenon and dovetail saws are used to make precise cuts for the indicated joints, and a keyhole saw cuts out holes. The level shows whether a surface is perfectly horizontal or vertical, and the trisquare tests the right angle between adjacent surfaces. These instruments are complemented by the use of power tools.

This article was most recently revised and updated by Amy Tikkanen.
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