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A problem exercise using a t square and 45 degree triangle to divide the paper into half inch squares. Then, divide the squares with diagonal lines both sides of the paper.

Squares Diagonal Lines Repeating Patterns

A problem exercise using a t square and 45 degree triangle to divide the paper into half inch squares.…

"Use the T square and 45 degree triangle to divide the square as indicated, the size of the small squares being ½". This is an excellent test of precision in measurement and lining. Care must be observed in the inking of this figure to allow each line to dry before inking the next one." —Anthony, 1904

Drawing Diagonal Lines with T Squares and Triangle

"Use the T square and 45 degree triangle to divide the square as indicated, the size of the small squares…

A diagonal line pattern drawing exercise in for T square and triangle. The image is constructed by dividing the paper into squares with the T square, and the diagonal lines are drawn using a 45 degree triangle.

Drawing Exercise for Drawing Diagonal Line Pattern using T Square and Triangle

A diagonal line pattern drawing exercise in for T square and triangle. The image is constructed by dividing…

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…

A problem exercise to construct a star overlapping square using a triangle and T square. The 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 4 Point Star Overlapping Box Pattern using T Square and Triangle

A problem exercise to construct a star overlapping square using a triangle and T square. The image is…

An exercise problem drawing a series of horizontal lines using a straight edge or triangle without using a T square.

Horizontal Solid Line Drawing Exercise

An exercise problem drawing a series of horizontal lines using a straight edge or triangle without using…

"With a 45 degree triangle draw lines AC and BD through the center and construct three squares. Set the bow—pencil to a radius of 3∕8' and describe a circular arc in the corner of each square just touching, but not intersecting, the sides of the square. Ink the circular arcs first." —Anthony, 1904

Mechanical Drawing Exercise Three Inscribed Squares with Rounded Corners using Triangle and Bow

"With a 45 degree triangle draw lines AC and BD through the center and construct three squares. Set…

An illustration of the position and the size of the image viewed by the eye. The eye approximates the the height of the image. The image's height is the hypotenuse of the triangle, creating an angle with the eye. This image is then reflected upside down in the eye.

Position and Size of Image for Eye Optics

An illustration of the position and the size of the image viewed by the eye. The eye approximates the…

A pulley system used to reduce motion between the piston and the indicator of the steam engine. The indicator is attached by a string on the curved bottom triangle. As the piston moves, the string is pulled to record the pressure of the steam.

Reducing Motion of Piston and Indicator using Brumbo Pulley

A pulley system used to reduce motion between the piston and the indicator of the steam engine. The…

Indicator that establishes the horizontal when a bubble is centered in a tube of liquid

Construction Level

Indicator that establishes the horizontal when a bubble is centered in a tube of liquid

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.

Early Use Padlock

Portable locks used to protect against theft, vandalism, sabotage, espionage, unauthorized use, and…

Asplenium radicans fronds are shaped like a triangle. The fronds are between three and five feet long. This fern grows in the tropical regions of north and south America.

Asplenium Radicans

Asplenium radicans fronds are shaped like a triangle. The fronds are between three and five feet long.…

The center of gravity of a triangle is the point of intersection O of the midpoint lines.

Center of Gravity

The center of gravity of a triangle is the point of intersection O of the midpoint lines.

Finding the center of gravity of an irregular plane figure. Divide one of the parallel surfaces into a triangle, parallelogram, circle, etc., based on the shape of the figure. Find the area of each part and combine the centers of gravity found for each.

Center of Gravity

Finding the center of gravity of an irregular plane figure. Divide one of the parallel surfaces into…

When pipes are bent at ninety degree angles, a rounded bend is best as shown along with a radius as large as possible to increase discharge.

Pipe Diameter

When pipes are bent at ninety degree angles, a rounded bend is best as shown along with a radius as…

This form is bounded by forty-eight similar scalene triangles. Its solid angles are of three kinds: six octahedral, at the extremities of the principal axes; eight hexahedral, at the extremities of the trigonal axes; and twelve tetrahedral, at the extremities of the digonal axes. Naumann's symbol for this form is m 0 n; Dana's, m-n.

Hexoctahedron

This form is bounded by forty-eight similar scalene triangles. Its solid angles are of three kinds:…

A Lemniscate is, in general, a curve generated by a point moving so that the product of its distances from two fixed points is the square of half the distance between the points. It is a particular case of the Cassinian oval and resembles a figure 8. When the line joining the two fixed points is the axis of x and the middle point of this line is the origin, the Cartesian equation is the fourth degree equation, (((x^2)+(y^2))^2)=2(a^2)((x^2)-(y^2)). The polar equation is (ℽ^2) = 2(a^2)cos(2θ). The locus of the feet of the perpendiculars from the center of an equilateral hyperbola to its tangents is a lemniscate. The name lemniscate is sometimes given to any crunodal symmetric quartic curve having no infinite branch. The name is also sometimes given to a general class of curves derived from other curves in the way that the above is derived from the equilateral hyperbola. With these more general definitions of the lemniscate the above curve is called the lemniscate of Bernoulli.

Lemniscate

A Lemniscate is, in general, a curve generated by a point moving so that the product of its distances…

Tambourine, drum, bells, and a triangle.

Musical instruments

Tambourine, drum, bells, and a triangle.

A 90 degree angle connector.

Angle Connectors

A 90 degree angle connector.

Ritchie Liquid Compass. US Naval compasses have the degree around the rim marked from 0 to 360, east being 90, south being 180, etc.

Compass Card

Ritchie Liquid Compass. US Naval compasses have the degree around the rim marked from 0 to 360, east…

Showing distance between two points on a coordinate plane.

Distance

Showing distance between two points on a coordinate plane.

A right triangle on a coordinate plane.

Right Triangle

A right triangle on a coordinate plane.

A scalene triangle.

Scalene Triangle

A scalene triangle.

Finding the area of a triangle in terms of polar coordinates of its three vertices.

Triangle Area

Finding the area of a triangle in terms of polar coordinates of its three vertices.

A positive slope line making a 60 degree angle with the x-axis.

Straight Line

A positive slope line making a 60 degree angle with the x-axis.

Finding the equation of a circle with the origin as its center.

Circle Equation

Finding the equation of a circle with the origin as its center.

An inscribed triangle in a circle.

Particular Cases

An inscribed triangle in a circle.

A circle with part of a triangle inscribed in it. They are lying on a coordinate plane.

Coordinate Plane

A circle with part of a triangle inscribed in it. They are lying on a coordinate plane.

A circle and triangle situated on coordinate planes.

Circle

A circle and triangle situated on coordinate planes.

Mechanical drawing triangle.

Drawing Triangle

Mechanical drawing triangle.

Mechanical drawing triangle.

Drawing Triangle

Mechanical drawing triangle.

"So David and all the house of Israel brought up the ark of Jehovah with shouting, and with the sound of the trumpet." 2 Samuel 6:15 ASV <p>Illustration of King David marching before the ark, playing his harp. The priests and people march behind him, carrying the ark and playing trumpets and tambourines. A young boy marches and plays a triangle.

King David Takes the Ark of the Covenant to Mount Zion

"So David and all the house of Israel brought up the ark of Jehovah with shouting, and with the sound…

"A draftsman's instrument for ruling parallel lines. It consists of a triangle so attached to a straight-edge that it can be moved back and forth on it a distance predetermined by the adjustment of a set-screw. a, a straight-edge; b, triangle moving on <i>a</i> for a distance determined by the set of the micrometer scale <i>c</i>; d, spring for releasing triangle and keeping it in the end of its slot." -Whitney, 1889

Section Liner, A Draftsman's Tool

"A draftsman's instrument for ruling parallel lines. It consists of a triangle so attached to a straight-edge…