Solutions for silhouette outlines of people (ice skater, saint statue, walking man, reclining man) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #5

Solutions for silhouette outlines of people (ice skater, saint statue, walking man, reclining man) made…

Solutions for silhouette outlines of people (silhouettes of men) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #6

Solutions for silhouette outlines of people (silhouettes of men) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of sea animals (sea monster, dolphin, sea turtle, stingray) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Sea Animals Silhouette Solution Tangram Card

Solutions for silhouette outlines of sea animals (sea monster, dolphin, sea turtle, stingray) made from…

Solutions for silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Solution Tangram Card

Solutions for silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow,…

Solutions for silhouette outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Solution Tangram Card #2

Solutions for silhouette outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Small Dotted Lines

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Solid Lines

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, White with Small Dotted Lines

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, White with Solid Lines

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Small Dotted Lines and Instructions

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Solid Lines and Instructions

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Small Dotted Lines and Instructions

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Solid Lines and Instructions

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

This is an advance turn arrow pointed to the left. The shaft is bent at a 90-degree angle.

Left Advance Turn Arrow Auxiliary, Black and White

This is an advance turn arrow pointed to the left. The shaft is bent at a 90-degree angle.

This is an advance turn arrow pointed to the left. The shaft is bent at a 90-degree angle.

Left Advance Turn Arrow Auxiliary, Outline

This is an advance turn arrow pointed to the left. The shaft is bent at a 90-degree angle.

This is an advance turn arrow pointed to the left. The shaft is bent at a 90-degree angle.

Left Advance Turn Arrow Auxiliary, Silhouette

This is an advance turn arrow pointed to the left. The shaft is bent at a 90-degree angle.

This is an advance turn arrow pointed to the left. The shaft is bent at a 45-degree angle.

Left Advance Turn Arrow Auxiliary, Black and White

This is an advance turn arrow pointed to the left. The shaft is bent at a 45-degree angle.

This is an advance turn arrow pointed to the left. The shaft is bent at a 45-degree angle.

Left Advance Turn Arrow Auxiliary, Outline

This is an advance turn arrow pointed to the left. The shaft is bent at a 45-degree angle.

This is an advance turn arrow pointed to the left. The shaft is bent at a 45-degree angle.

Left Advance Turn Arrow Auxiliary, Silhouette

This is an advance turn arrow pointed to the left. The shaft is bent at a 45-degree angle.

Isosceles Triangle with a dotted vertical line that is a line of symmetry.

Vertical Line of Symmetry, Isosceles Triangle With

Isosceles Triangle with a dotted vertical line that is a line of symmetry.

Square with dotted lines that are lines of symmetry.

Lines of Symmetry, Triangle With

Square with dotted lines that are lines of symmetry.

A test to ensure the triangle is accurate by drawing a perpendicular line from a T-square.

Triangle Accuracy Test using T-square

A test to ensure the triangle is accurate by drawing a perpendicular line from a T-square.

An Engineer's Scale ruler for plotting and map drawing.

Engineer's Scale Ruler

An Engineer's Scale ruler for plotting and map drawing.

An Architect's Scale ruler for drawing machinery and structures.

Architect's Scale Ruler

An Architect's Scale ruler for drawing machinery and structures.

Different ruler shapes for different scales. The triangle shape, lettered A, is commonly used in Engineer's Scale and Architect's Scale.

Scale Ruler Shapes

Different ruler shapes for different scales. The triangle shape, lettered A, is commonly used in Engineer's…

A homemade section liner device made by slipping a wooden block to hold the triangle to make cross hatching lines.

Section Lining Device

A homemade section liner device made by slipping a wooden block to hold the triangle to make cross hatching…

The Universal Drafting Machine is used in a large drafting room. It combines the functions of T-square, triangle, scale, and protractor to save time in machine drawing and civil engineering work.

Universal Drafting Machine

The Universal Drafting Machine is used in a large drafting room. It combines the functions of T-square,…

The Kelsey triangle is a modified triangle ruler, where the hypotenuse is inwardly bent.

Kelsey Triangles

The Kelsey triangle is a modified triangle ruler, where the hypotenuse is inwardly bent.

The Rondinella triangle is a modified triangle ruler, where the hypotenuse is outwardly bent.

Rondinella Triangle

The Rondinella triangle is a modified triangle ruler, where the hypotenuse is outwardly bent.

The Zange triangle is a modified triangle ruler, where one of the legs is longer making the hypotenuse is elongated.

Zange Triangle

The Zange triangle is a modified triangle ruler, where one of the legs is longer making the hypotenuse…

When drawing vertical lines, the blade of the T-square is held with the thumb while the fingers adjusting the triangle.

Drawing Vertical Lines Using a T-square and a Triangle

When drawing vertical lines, the blade of the T-square is held with the thumb while the fingers adjusting…

The arrows shows the motion direction of drawing a 30-degrees, 45-degrees, or a-60 degrees angle using a 60-degree triangle.

Drawing Lines using Triangle, 30-, 45-, 60-Degrees

The arrows shows the motion direction of drawing a 30-degrees, 45-degrees, or a-60 degrees angle using…

The 45-degree triangle can be used to make a line at a multiple of 15 degrees.

Drawing Lines using Triangle at Angles in Multiples of 15 degrees

The 45-degree triangle can be used to make a line at a multiple of 15 degrees.

Parallel lines are drawn by holding the triangle against the T-square at an angle, or another triangle, then slip the first triangle onto the required position.

Drawing Parallel Lines Using T-square and Triangle

Parallel lines are drawn by holding the triangle against the T-square at an angle, or another triangle,…

Perpendicular lines are drawn by fitting the hypothenuse of the triangle to the T-square at an angle, or another triangle. Then, turn the triangle so that the hypothenuse is perpendicular to the line.

Drawing Perpendicular Lines Using T-square and Triangle

Perpendicular lines are drawn by fitting the hypothenuse of the triangle to the T-square at an angle,…

"Through the center of the space draw a horizontal and a vertical line, measuring on these lines as diameters lay off a three-inch square. Along the lower side and the upper half of the left side measure 3/8' spaces with the scale. Draw all horizontal lines with the T-square and all vertical lines with the T-square and triangle." —French, 1911

Drawing Exercise for T-square, Triangle, and Scale

"Through the center of the space draw a horizontal and a vertical line, measuring on these lines as…

"Draw three-inch square. Draw lines AB, BC, DE and EF at 30 degrees. Divide lower side into seven equal parts with the dividers. Draw the vertical lines, and mark divisions on AC with pencil as each line is drawn. Through the division points on top and bottom draw the converging lines using the triangle alone as a straight-edge." —French, 1911

Drawing Converging Lines

"Draw three-inch square. Draw lines AB, BC, DE and EF at 30 degrees. Divide lower side into seven equal…

"Through the center of the space draw the three construction lines, AB vertical, DE and FG at 30 degrees. Measure CA and CB 1 1/2" long. Draw AE, AF, DB and BG at 30 degrees. Complete hexagon by drawing DF and GE vertical. Set spacers to 3/32". Step off 3/32" on each side of the center lines, and 3/16" from each side of hexagon. Complete figure as shown with triangle against T-square." —French, 1911

Drawing Hexagonal Figure

"Through the center of the space draw the three construction lines, AB vertical, DE and FG at 30 degrees.…

"An exercise in starting and stopping short lines. Draw three-inch square. Draw diagonals with 45-degree triangle. With scale lay off 3/8" spaces along the diagonals, from their intersection. With 45-degree triangle complete figure, finishing one-quarter at a time." —French, 1911

Drawing Street Paving Intersection

"An exercise in starting and stopping short lines. Draw three-inch square. Draw diagonals with 45-degree…

"Draw three-inch square and one-inch square. From the corners of inner square draw lines to outer square at 15 degrees and 75 degrees, with the two triangles in combination. Mark points with spacers 3/16" inside of each line of this outside cross, and complete figure with triangles in combination." —French, 1911

Drawing Maltese Cross using T-square, Spacers, and Triangles

"Draw three-inch square and one-inch square. From the corners of inner square draw lines to outer square…

"On base AB, 3 1/2" long construct an equilateral triangle, using the 60-degree triangle. Bisect the angles with the 30-degree angle, extending the bisectors to the opposite sides. With these middle points of the sides as centers and radius equal to 1/2 the side, draw arcs cutting the bisectors. These intersection will be centers for the inscribed circles. With centers on the intersection of these circles and the bisectors, round off the points of the triangle as shown." —French, 1911

Drawing Tangent Circles and Lines with Compass and Triangles

"On base AB, 3 1/2" long construct an equilateral triangle, using the 60-degree triangle. Bisect the…

The end wrench differs from the monkey wrench in that the gripping faces of the jaws are displaced to a 15 degree angle relative to the tools handle.

Wrench Handle

The end wrench differs from the monkey wrench in that the gripping faces of the jaws are displaced to…

A T-square is a technical drawing instrument, primarily a guide for drawing horizontal lines on a drafting table. It is used by draftsmen. It is also used to guide the triangle that draws the vertical lines.

Architects Drafting Square

A T-square is a technical drawing instrument, primarily a guide for drawing horizontal lines on a drafting…

"A circle may be shaded by shifting the center on a 45-degree line toward the lower right hand corner... by keeping the needle in the center after drawing the circle and springing the compass out and gradually pressing with the middle finger in the position as shown." —French, 1911

Shading a Circle Using Compass

"A circle may be shaded by shifting the center on a 45-degree line toward the lower right hand corner...…

These calipers are used to measure the external size of an object. The same observations and technique apply to this type of caliper, as for the above inside caliper. With some understanding of their limitation and usage these instruments can provide a high degree of accuracy and repeatability. They are especially useful when measuring over very large distances, consider if the calipers are used to measure a large diameter pipe.

Precision Calipers and Dividers

These calipers are used to measure the external size of an object. The same observations and technique…

An illustration to draw triangle prism's development, or stretched out surfaces, in a 4" by 5" surface.

Triangle Prism Exercise

An illustration to draw triangle prism's development, or stretched out surfaces, in a 4" by 5" surface.

An illustration to exercise a stretched out, or development, image of the triangular prism using 4" by 5 " surface.

Triangular Prism Development Exercise

An illustration to exercise a stretched out, or development, image of the triangular prism using 4"…

Exercise problem to develop, or rolled out, image of the triangular pyramid by creating an equal length of the edges of each triangle.

Development Exercise of Triangular Pyramid

Exercise problem to develop, or rolled out, image of the triangular pyramid by creating an equal length…

A pentagonal pyramid problem exercise to complete the top view of the image, and development, or rolled out image, of the pyramid.

Development Exercise of Pentagonal Pyramid

A pentagonal pyramid problem exercise to complete the top view of the image, and development, or rolled…

A problem exercise creating a stretched out or developed image of the octagonal light shade by using the hexagonal pyramid development method.

Development Exercise of Octagonal Light Shade

A problem exercise creating a stretched out or developed image of the octagonal light shade by using…

A sample exercise problem in completing the top part of the hexagonal pyramid and to create a development, or stretched out, of the image by creating edges at equal lengths, and revolving the sides.

Development Exercise of Hexagonal Pyramid

A sample exercise problem in completing the top part of the hexagonal pyramid and to create a development,…

Padlocks are portable locks used to protect against theft, vandalism, sabotage, espionage, unauthorized use, and harm. They are designed to protect against some degree of forced and surreptitious entry.

Mechanism Depiction of a, Padlock

Padlocks are portable locks used to protect against theft, vandalism, sabotage, espionage, unauthorized…

An office chair, or desk chair, is a type of chair that is designed for use at a desk in an office. It is generally comfortable and adjustable and can swivel 360 degrees.

Adjustable Office Chair

An office chair, or desk chair, is a type of chair that is designed for use at a desk in an office.…

"A conical surface may be shaded by driving a fine needle at the apex and swinging a triangle about it, as in (A). To avoid a blot at the apex of a complete cone the needle may be driven on the extension of the side as in (B), or it may be shaded by parallel line as in (C)." —French, 1911

Different Cone Shading

"A conical surface may be shaded by driving a fine needle at the apex and swinging a triangle about…

An outside view of the spherical triangle from a church. The window has three rounded parts in a shape of a triangle.

Gothic Architecture Spherical Triangle Outside Window

An outside view of the spherical triangle from a church. The window has three rounded parts in a shape…

A fourteenth century spherical triangle viewed inside a church. The window is indented with a bottom part sloped to let sun light in.

Gothic Architecture Spherical Triangle Inside Window

A fourteenth century spherical triangle viewed inside a church. The window is indented with a bottom…

The illustration showing the centrifugal governor metal ball removed from the lathe to draw 180 degree lines. These lines are used to guide the machinists to create the balls in a lathe.

Metal Centrifugal Governor Ball Height Gage

The illustration showing the centrifugal governor metal ball removed from the lathe to draw 180 degree…

"Where the lathe has no special taper turning attachment, the rig here described can readily be made and applied. The hand wheel of the cross feed is removed, and replaced by a hard—wood disk S that has a rim groove for a stout cord A. One end of this cord is attached to the tail stock at B, by means of a bent metal strip D. The conicity or degree of taper will be determined by the diameter of the disk S." —Grimshaw, 1902

Taper Turning and Boring Lathe Rig

"Where the lathe has no special taper turning attachment, the rig here described can readily be made…

The illustration showing the projection of the triangles from the triangle pyramid as shown on top. This projection helps create the development of the pyramid by connecting each projection together.

Triangle Pyramid Side Projections

The illustration showing the projection of the triangles from the triangle pyramid as shown on top.…

A development, or rolled out, triangle pyramid. The image is created by making an arc at the bottom of each triangles to guide the straight lines. The triangle ABC is the base of the pyramid. When folded, the pyramid will form from the image.

Development of Triangle Pyramid

A development, or rolled out, triangle pyramid. The image is created by making an arc at the bottom…