4 lines which intersect at a common point.

Intersecting Lines, 4

4 lines which intersect at a common point.

8 lines which intersect at a common point.

Intersecting Lines, 8

8 lines which intersect at a common point.

4 lines which intersect at a common point.

Intersecting Lines, 4

4 lines which intersect at a common point.

3 lines which intersect at a common point.

Intersecting Lines, 3

3 lines which intersect at a common point.

A standard sized spring bow with bow points or spacers to draw circles.

Spring Bow with Bow Points

A standard sized spring bow with bow points or spacers to draw circles.

A standard sized pencil point spring bow to draw circles.

Pencil Point Spring Bow

A standard sized pencil point spring bow to draw circles.

A standard sized pen point spring bow to draw circles.

Pen Point Spring Bow

A standard sized pen point spring bow to draw circles.

A hook-spring pen point to draw circles.

Pen Point Hook-Spring Bow

A hook-spring pen point to draw circles.

A hook-spring with pencil point to draw circles.

Pencil Point Hook-Spring Bow

A hook-spring with pencil point to draw circles.

A hook-spring with bow point to draw circles.

Hook-Spring Bow with Bow Points

A hook-spring with bow point to draw circles.

Sharpen the the pencil by removing the wood with a penknife and rubbing the lead on sand paper. The wedge or flat point will remain sharper than the conical point.

Wedge Point of Pencil

Sharpen the the pencil by removing the wood with a penknife and rubbing the lead on sand paper. The…

A pencil sharpened in a conical point. Conical points will wear away faster than a wedge or flat point.

Conical Point of Pencil

A pencil sharpened in a conical point. Conical points will wear away faster than a wedge or flat point.

The little finger on the left hand can guide the needle point of the compass to the center.

Guiding Needle Point of Compass to Little Finger

The little finger on the left hand can guide the needle point of the compass to the center.

"Circles up to perhaps three inches in diameter may be drawn with the legs straight but for larger sizes both the needle-point and the pencil leg should be at the knuckle joints so as to be perpendicular to the paper." — French, 1911

Drawing Large Circles with Compass

"Circles up to perhaps three inches in diameter may be drawn with the legs straight but for larger sizes…

Bow instruments can be used for drawing small circles. Hold the the left hand and spin the nut in or out with the finger to avoid wear and stripping the thread. "Small adjustments should be made with one hand, with needle point in position on the paper." — French, 1911

Drawing Small Circles with Bow Instrument

Bow instruments can be used for drawing small circles. Hold the the left hand and spin the nut in or…

"ABCD to a new base A'B'. With radii AC and BC describe intersection arcs from centers A'B', locating the point C'. Similarly with radii AD and BD locate the point D'. Connect BC and CD, and continue the operation." —French, 1911

Transfer Polygon

"ABCD to a new base A'B'. With radii AC and BC describe intersection arcs from centers A'B', locating…

Make a perpendicular lines at point B and C, and join by a straight line. Create a desired curve by referencing the lines as a center and tangent.

Draw Reverse or Ogee Curve

Make a perpendicular lines at point B and C, and join by a straight line. Create a desired curve by…

"Any noncircular curve may be approximated by tangent circle arcs, selecting a center by trial, drawing as much of an arc as will practically coincide with the curve, then changing the center and radius for the next portion, remembering always that if arcs are to be tangent, their centers must lie on the common normal at the point of tangency." —French 1911

Curve Inked with Circle Arcs

"Any noncircular curve may be approximated by tangent circle arcs, selecting a center by trial, drawing…

"Let OA and OB be the asymptotes and P a point on the curve. Draw PC and PD. Mark any points on Pc; through these points draw ordinates parallel to OA and through the same points lines to O. At the intersection of these lines with PD draw abscissæ with the ordinates give points on the curve." —French, 1911

Drawing Rectangular Hyperbola

"Let OA and OB be the asymptotes and P a point on the curve. Draw PC and PD. Mark any points on Pc;…

"A cycloid is the curve generated by the motion of a point on the circumference of a circle rolled along a straight line." —French, 1911

Cycloid

"A cycloid is the curve generated by the motion of a point on the circumference of a circle rolled along…

"A circle may be conceived as a polygon of an infinite number of sides. Thus to draw the involute of a circle divide it into a convenient number of parts, draw tangents at these points, lay off on these tangents the rectified lengths of the arch from the point of tangency to the starting point, and connect the points by a smooth curve." —French, 1911

Involute of Circle

"A circle may be conceived as a polygon of an infinite number of sides. Thus to draw the involute of…

This is a framework consisting of two wheels, and a chain driven crank shaft. One of wheels is used for conducting the rest of the frame depending on the operators point of direction. Foot pedals are used to drive the chain that spins the rear wheel providing the frame to move forward.

Combination Chain Driven Bicycle

This is a framework consisting of two wheels, and a chain driven crank shaft. One of wheels is used…

A cash register or till is a mechanical or electronic device for calculating and recording sales transactions, and an attached cash drawer for storing cash. The cash register also usually prints a receipt for the customer. In most cases the drawer can be opened only after a sale, except when using a special key, which only senior employees and the owner have. This reduces the risk of employees stealing from the shop owner by not recording a sale and pocketing the money when a customer does not need a receipt but has to be given change. In fact, cash registers were first invented for the purpose of eliminating employee theft.

Cash Register and Indicator

A cash register or till is a mechanical or electronic device for calculating and recording sales transactions,…

The first registers were entirely mechanical, without receipts. The employee was required to ring up every transaction on the register, and when the total key was pushed, the drawer opened and a bell would ring, alerting the manager to a sale taking place. Those original machines were nothing but simple adding machines.

Indicator and Cash Register

The first registers were entirely mechanical, without receipts. The employee was required to ring up…

A Pantograph is a mechanical linkage connected in a special manner based on parallelograms so that the movement of one specified point is an amplified version of the movement of another point. If a line drawing is traced by the first point, an enlarged copy will be drawn by a pen fixed to the other.

Pantograph Machine

A Pantograph is a mechanical linkage connected in a special manner based on parallelograms so that the…

An atomizer nozzle is a kind of nozzle for producing a fine spray of a liquid based on the Venturi effect. When a gas is blown through a constriction it speeds up; this reduces the pressure at the narrowest point. The reduced pressure sucks up a liquid through a narrow tube into the flow, where it boils in the low pressure, and forms thousands of small droplets.Atomizer nozzles are used for spraying perfumes, for painting and in carburetors as well as water nozzles.

Atomizer

An atomizer nozzle is a kind of nozzle for producing a fine spray of a liquid based on the Venturi effect.…

"The pyramid be revolved about an axis perpendicular to V, the front view will be unchanged and may be copied in the new position distance from the ground line to any point in the top view be unchanged, hence the new top view may be found by projecting up from the front view and across from the original top view" —French, 1911

Revolution About Axis Perpendicular to V

"The pyramid be revolved about an axis perpendicular to V, the front view will be unchanged and may…

"The pyramid be revolved about an axis perpendicular to V, the front view will be unchanged and may be copied in the new position distance from the ground line to any point in the top view be unchanged, hence the new top view may be found by projecting up from the front view and across from the original top view" —French, 1911

Revolution About Axis Forward or Back

"The pyramid be revolved about an axis perpendicular to V, the front view will be unchanged and may…

A cash register is a mechanical or electronic device for calculating and recording sales transactions, and an attached cash drawer for storing cash.

Early Model Cash Register

A cash register is a mechanical or electronic device for calculating and recording sales transactions,…

The illustration of a rectangular pyramid unfolded by creating edges equal length to the base and meeting at point E.

Development of Rectangular Pyramid

The illustration of a rectangular pyramid unfolded by creating edges equal length to the base and meeting…

Pressure cooking is a method of cooking in a sealed vessel that does not permit air or liquids to escape below a preset pressure. Because the boiling point of water increases as the pressure increases, the pressure built up inside the cooker allows the liquid in the pot to rise to a higher temperature before boiling.

Steam and Water Cooker

Pressure cooking is a method of cooking in a sealed vessel that does not permit air or liquids to escape…

A sample exercise problem to complete the top part and create a stretched out image of the oblique hexagonal pyramid. The stretched out image is created by drawing an arc with the perimeter of the base stepped off to create an intersection point.

Development Exercise of Oblique Hexagonal Pyramid

A sample exercise problem to complete the top part and create a stretched out image of the oblique hexagonal…

An atomizer nozzle is a kind of nozzle for producing a fine spray of a liquid based on the Venturi Effect. When a gas is blown through a constriction it speeds up, which reduces the pressure at the narrowest point.

Atomizer Nozzle

An atomizer nozzle is a kind of nozzle for producing a fine spray of a liquid based on the Venturi Effect.…

An umbrella or parasol s a canopy designed to protect against precipitation or sunlight. The term parasol usually refers to an item designed to protect from the sun, and umbrella refers to a device more suited to protect from rain. Often the difference is the material; some parasols are not waterproof. Parasols are often meant to be fixed to one point and often used with patio tables or other outdoor furniture. Umbrellas are almost exclusively hand-held portable devices; however, parasols can also be hand-held. Umbrellas can be held as fashion accessories.

Wire Frame Umbrella

An umbrella or parasol s a canopy designed to protect against precipitation or sunlight. The term parasol…

Many decorating techniques used today do not require elaborate cookie cutters. The simplest of shapes can be quite versatile in serving various themes. For example, a star-shaped cutter can be used for Christmas, 4th of July, and messages of congratulations. A circle can be decorated as a sun, ball, flower, spider web, or smiley face. This cutter is in the shape of a four leaf clover.

Cookie Mold Cutter

Many decorating techniques used today do not require elaborate cookie cutters. The simplest of shapes…

Many decorating techniques used today do not require elaborate cookie cutters. The simplest of shapes can be quite versatile in serving various themes. For example, a star-shaped cutter can be used for Christmas, 4th of July, and messages of congratulations. A circle can be decorated as a sun, ball, flower, spider web, or smiley face. This cutter is in the shape of a star.

Star Shaped Cookie Cutter

Many decorating techniques used today do not require elaborate cookie cutters. The simplest of shapes…

A gate is a point of entry to a space enclosed by walls, or an opening in a fence. Gates may prevent or control entry, or exit or they may be merely decorative.

Wooden Locking Gate

A gate is a point of entry to a space enclosed by walls, or an opening in a fence. Gates may prevent…

A drinking glass, or simply glass, is a drinking vessel, usually made from glass or plastic. Glasses are often clear, but sometimes are colored, or printed or etched with decorations. Compared with a cup, a glass stands taller without a handle and usually holds more liquid.

Star Shaped Glass Vessel

A drinking glass, or simply glass, is a drinking vessel, usually made from glass or plastic. Glasses…

Safety glasses are usually made with shatter-resistant plastic lenses to protect the eye from flying debris. Although safety lenses may be constructed from a variety of materials of various impact resistance, certain standards suggest that they maintain a minimum 1 millimeter thickness at the thinnest point, regardless of material. Safety glasses can vary in the level of protection they provide.

Round Safety Glasses

Safety glasses are usually made with shatter-resistant plastic lenses to protect the eye from flying…

This knife is a band of multi function pocket knife. Generally speaking a tool like this has a blade as well as other various tools, such as a screwdriver and knife sharpener intended for military and camping purposes. These attachments are stored inside the handle of the knife through a pivot point mechanism.

Combination Can Opening Knife Sharpening Screwdriver

This knife is a band of multi function pocket knife. Generally speaking a tool like this has a blade…

Vertical line is drawn downward with the pencil held with freedom, not close to the point.

Sketching Vertical Line

Vertical line is drawn downward with the pencil held with freedom, not close to the point.

Horizontal line can be drawn left to right by holding the pencil away from the point.

Sketching Horizontal Line

Horizontal line can be drawn left to right by holding the pencil away from the point.

An illustration of perspective drawing using a picture plane to create a vanishing points of the image.

Perspective Outline of Object

An illustration of perspective drawing using a picture plane to create a vanishing points of the image.

"A contour is a line on the surface of the ground which at every point passes through the same elevation, thus the shore line of a body of water represents a contour. If the water should rise one foot the new shore line would be another contour, with foot 'contour interval.'" —French, 1911

Shoreline Contour

"A contour is a line on the surface of the ground which at every point passes through the same elevation,…

An illustration of the plane flying over land from point A to B by flying the plane with the direction of the plane. Then, flying to point D by creating a diagonal line at 100 mph onto destination point B.

Aeroplane Flying Over Plane

An illustration of the plane flying over land from point A to B by flying the plane with the direction…

A circle in a aerodynamic chamber where the airflow hitting the object. The area at point DD is large creating a resistance.

Circle Aerodynamic

A circle in a aerodynamic chamber where the airflow hitting the object. The area at point DD is large…

Aerodynamic of the ellipse where the area at point DD is small. The small area creates less resistance for the plane while in flight.

Ellipse Aerodynamic

Aerodynamic of the ellipse where the area at point DD is small. The small area creates less resistance…

"The chamber (curvature) of the blades should be (1) equal, (2) decrease evenly towards the tips of the blades, (3) the greatest depth of the curve should, at any point of the blade, be approximately at the same percentage of the chord from the leading edge as at other points." —Barber, 1917

Aeroplane Propeller Balance Chamber

"The chamber (curvature) of the blades should be (1) equal, (2) decrease evenly towards the tips of…

Crucible furnace used to melt metal. The stream of ignited gas enters the chamber to mix with air at the valve. The heat generated by this process will reach the metal's melting point to create a desired product.

Crucible Furnace for Melting Metal

Crucible furnace used to melt metal. The stream of ignited gas enters the chamber to mix with air at…

The illustration showing angles of 15, 30, and 45 degrees at angles 45 and 30 degrees. Measurement of angles is created by drawing at point E at 45 or 30 degrees, then draw a straight line from E to estimate the desired angle.

Measuring Angles in Isometric Planes

The illustration showing angles of 15, 30, and 45 degrees at angles 45 and 30 degrees. Measurement of…

The development, or unfolded prism, of the rectangular pyramid. The sides of the prism is joined at point E for reference, and the shape of the sides are by using the reference point.

Development of Rectangle Pyramid

The development, or unfolded prism, of the rectangular pyramid. The sides of the prism is joined at…

A development, or rolled out, cone where the point A is the meeting point for the sides. The development is drawn by drawing the arc by using a compass.

Development of Cone

A development, or rolled out, cone where the point A is the meeting point for the sides. The development…

A planter is an agricultural farm implement towed behind a tractor, used for sowing crops through a field. It is connected to the tractor with a draw-bar, or a three-point hitch.

Combined Planter and Fertilizer

A planter is an agricultural farm implement towed behind a tractor, used for sowing crops through a…

A sliced view at point VW, shown in the top figure. The inside view of the cylinders shows the points where the cylinders are connected.

Sliced View of Auxiliary Planes of Two Intersecting Cylinder

A sliced view at point VW, shown in the top figure. The inside view of the cylinders shows the points…

"If B and C are points in the spiral and the ratio of AC to AB be given, the intermediate point D may be obtained by describing a semicircle on BC as a diameter and erecting a perpendicular at A." —Anthony, 1904

Drawing Equiangular or Logarithmic Spiral

"If B and C are points in the spiral and the ratio of AC to AB be given, the intermediate point D may…

An exercise problem to create a vanishing point using lines. The line is drawn by placing a dot into the middle of the paper, then draw the lines angled into the middle. This creates an illusion that the lines are continuing for a long distance.

Vanishing Point Using Lines

An exercise problem to create a vanishing point using lines. The line is drawn by placing a dot into…

An illustration of drawing an eight point star using a series of pentagons to create a star. The paper is divided into a squares to use as a guide for drawing pentagons.

Constructing Star Using Pentagons

An illustration of drawing an eight point star using a series of pentagons to create a star. The paper…

"Divide the square as indicated by the dotted lines, drawing these as full lines in pencil, but do not ink them...The intermediate or section lines must not be drawn with a pencil, but are to be drawn only in ink, the spacing being done by the eye." —Anthony, 1904

Constructing Stars Using Different Shapes

"Divide the square as indicated by the dotted lines, drawing these as full lines in pencil, but do not…

A problem exercise to creating a star using series of triangles and squares. The image is divided by the dotted line to scale images to appropriate size.

Star Construction Using Triangles and Squares

A problem exercise to creating a star using series of triangles and squares. The image is divided by…

The construction of a star with square overlapping each other using a triangle and T square. This image is drawn by dividing the paper with dashed lines using T square. Using the 45 degree triangle, draw diagonal lines to create the star and the star.

Constructing Star and Box Overlap Pattern using T Square and Triangle

The construction of a star with square overlapping each other using a triangle and T square. This image…