"It is evident that, when a solid is immersed in a fluid, it will displace exactly its own volume of the fluid. Immerse a solid cube one centimeter on each edge in water, so that its upper face shall be level and one centimeter below the surface of the liquid, as shown. The lateral pressures upon any two opposite vertical surfaces of the cube, as a and b, are clearly equal and opposite." -Avery 1895

Archimedies Principle

"It is evident that, when a solid is immersed in a fluid, it will displace exactly its own volume of…

Illustration of pattern showing steps to make a barn. The barn is a composite figure made up of a triangular prism and a rectangular solid.

Pattern To Make A Barn

Illustration of pattern showing steps to make a barn. The barn is a composite figure made up of a triangular…

Isometric of a wooden block.

Isometric of a Block

Isometric of a wooden block.

Isometric of a box with a cover.

Isometric of a Box With a Cover

Isometric of a box with a cover.

Isometric of a box with a cover - end view.

Isometric of a Box With a Cover

Isometric of a box with a cover - end view.

Sheet metal blank for making a cylindrical box with a diameter of 1 inch and a height of 2 inches.

Cylindrical Box - Blank

Sheet metal blank for making a cylindrical box with a diameter of 1 inch and a height of 2 inches.

Illustration of the isometric of a skeleton of a box.

Isometric Of A Box

Illustration of the isometric of a skeleton of a box.

Illustration of pattern showing steps to make a box.

Pattern To Make A Box

Illustration of pattern showing steps to make a box.

Isometric of a wooden brace.

Isometric of a Brace

Isometric of a wooden brace.

Illustration of the isometric of a carpenter's bench.

Isometric Of A Carpenter's Bench

Illustration of the isometric of a carpenter's bench.

An illustration of a vertical cross section of the spherical zones of a casting with a diameter of 16 inches.

Vertical Cross Section of Spherical Zones of a Casting

An illustration of a vertical cross section of the spherical zones of a casting with a diameter of 16…

"In a body free to move, the center of gravity will lie in a vertical plumb-line drawn through the point of support. Therefore, to find the position of the center of gravity of an irregular solid, as the crank, Fig 8, suspended it at some point, as B, so that it will move freely. Drop a plumb line from the point of suspension and mark its direction. Suspend the body at another point, as A, and repeat the process. The intersection C of the two lines will be directly over the center of gravity." —Hallock 1905

Center of Gravity of a Solid

"In a body free to move, the center of gravity will lie in a vertical plumb-line drawn through the point…

Projection of a circular ring.

Projection of Circular Ring

Projection of a circular ring.

An illustration of a composite figure made up of a quadrilateral frustum and half of a cylinder. Frustum edges range between 6 feet and 11 feet 5 inches and cylinder has a height of 12 feet.

Composite Figure of Quadrilateral Frustum With Half of a Cylinder Attached

An illustration of a composite figure made up of a quadrilateral frustum and half of a cylinder. Frustum…

Cross section of concrete conduit. The diagram can be used to find volume.

Cross Section of Concrete Conduit

Cross section of concrete conduit. The diagram can be used to find volume.

"A cone is a solid whose base is a circle and whose convex surface tapers uniformly to a point." —Hallock 1905

Cone

"A cone is a solid whose base is a circle and whose convex surface tapers uniformly to a point." —Hallock…

Illustration used to compare the volumes of a cone and a cylinder by emptying sand from the cone into the cylinder.

Comparative Volumes Of A Cone And Cylinder

Illustration used to compare the volumes of a cone and a cylinder by emptying sand from the cone into…

An illustration of a circular cone.

Circular Cone

An illustration of a circular cone.

Development and top completion exercise problem of the cone by dividing the base into equal parts and creating an arc to revolve the sides of the plane.

Development Exercise of Cone

Development and top completion exercise problem of the cone by dividing the base into equal parts and…

Pattern that can be used to make a cone. Development of a cone.

Development of a Cone

Pattern that can be used to make a cone. Development of a cone.

Illustration of the development of a cone. When the cone covered in paper (figure a) is rolled out on a flat surface, the result is shown in figure b.

Development Of Cone

Illustration of the development of a cone. When the cone covered in paper (figure a) is rolled out on…

Illustration of the development of a cone along a stretchout described with the radius OB.

Development Of Cone

Illustration of the development of a cone along a stretchout described with the radius OB.

Illustration of the development of a cone.

Development Of Cone

Illustration of the development of a cone.

A rolled out image of a cone by dividing the base in equal parts and arcs to measure the true lengths.

Development of Cone

A rolled out image of a cone by dividing the base in equal parts and arcs to measure the true lengths.

An illustration of a circular cone with the top cut off by a plane parallel to the base. The remaining part is called a frustum of a pyramid or a cone.

Circular Cone Frustum

An illustration of a circular cone with the top cut off by a plane parallel to the base. The remaining…

Plan and elevation of a cone.

Plan and Elevation of a Cone

Plan and elevation of a cone.

Illustration of the intersection of a cone and a plane.

Intersection of a Cone and a Plane

Illustration of the intersection of a cone and a plane.

An illustration of a right circular cone with labels on slant height and altitude.

Right Circular Cone

An illustration of a right circular cone with labels on slant height and altitude.

An illustration of a right circular cone with labels on slant height (12.422), radius (8), and altitude (12).

Right Circular Cone

An illustration of a right circular cone with labels on slant height (12.422), radius (8), and altitude…

An illustration of a right circular cone with altitude of 10 ft. and angle of 30 degrees.

Right Circular Cone 10 Feet High With 30 Degree Angle

An illustration of a right circular cone with altitude of 10 ft. and angle of 30 degrees.

An illustration of a right circular cone with la radius of 1 foot and a height of 2 feet. Illustration could be used to find volume.

Right Circular Cone With 2 ft. Height and 1 ft. Radius

An illustration of a right circular cone with la radius of 1 foot and a height of 2 feet. Illustration…

An illustration of a right circular cone with labels on dimensions, and hole cut out. Illustration could be used for finding volume where subtraction is used.

Right Circular Cone With Hole Cut Out

An illustration of a right circular cone with labels on dimensions, and hole cut out. Illustration could…

Illustration used to compare the volumes of a cone, a sphere, and a cylinder.

Comparative Volumes Of A Cone, Sphere, And Cylinder

Illustration used to compare the volumes of a cone, a sphere, and a cylinder.

Illustration of the intersection of 3 cones.

3 Intersecting Cones

Illustration of the intersection of 3 cones.

An exercise problem to complete the top and develop, stretched out, image of the flange and hood cones by using series of cone development.

Development Exercise of Flange and Hood Cones

An exercise problem to complete the top and develop, stretched out, image of the flange and hood cones…

"The metal cut away near the center reduces the weight and provides passages for air circulation." — Hawkins, 1917

Solid core disk

"The metal cut away near the center reduces the weight and provides passages for air circulation." —…

An illustration of a cube with the faces shaded.

Cube With Faces Shaded

An illustration of a cube with the faces shaded.

Isometric of a cube with 30°.

Isometric of a Cube

Isometric of a cube with 30°.

Isometric of a cube with circles inscribed on its faces.

Isometric of a Cube With Circles Inscribed

Isometric of a cube with circles inscribed on its faces.

Cube rotated 30° with vertical plane.

Cube Rotated 30°

Cube rotated 30° with vertical plane.

An illustration of a cube divided into 6 equal pyramids to illustrate how volume can be found.

Cube for Illustrating Volume

An illustration of a cube divided into 6 equal pyramids to illustrate how volume can be found.

Illustration used to compare the surfaces of a cylinder and a sphere.

Comparative Surfaces Of A Cylinder And Sphere

Illustration used to compare the surfaces of a cylinder and a sphere.

Illustration of the intersection of a cylinder and a sphere.

Intersecting Cylinder and Sphere

Illustration of the intersection of a cylinder and a sphere.

Illustration of the intersection of a cylinder and a sphere.

Intersecting Cylinder and Sphere

Illustration of the intersection of a cylinder and a sphere.

Projection of a cylinder with a circular hole.

Projection of Cylinder With Circular Hole

Projection of a cylinder with a circular hole.

An exercise problem in creating a development or rolled out surface of a cylinder in a 4" by 5" drawing area.

Development Exercise of Cylinder

An exercise problem in creating a development or rolled out surface of a cylinder in a 4" by 5" drawing…

Illustration of the development of a cylinder. The cylinder is covered with paper (a) and then rolled out (b) showing the outer edges are parallel.

Development Of Cylinder

Illustration of the development of a cylinder. The cylinder is covered with paper (a) and then rolled…

The illustration shows the cylinder rolled out in a tangent plane of the base to create a development of the solid.

Development of Cylinder

The illustration shows the cylinder rolled out in a tangent plane of the base to create a development…

Illustration of the isometric of a hollow cylinder.

Hollow Cylinder

Illustration of the isometric of a hollow cylinder.

Illustration of a shaded section of a hollow cylinder viewed from the side.

Hollow Cylinder

Illustration of a shaded section of a hollow cylinder viewed from the side.

Illustration of a shaded horizontal cylinder, viewed from the side.

Horizontal Cylinder

Illustration of a shaded horizontal cylinder, viewed from the side.

Right circular cylinder inscribed in a pentagonal prism. Or, Pentagonal prism circumscribed about a cylinder.

Cylinder Inscribed in Pentagonal Prism

Right circular cylinder inscribed in a pentagonal prism. Or, Pentagonal prism circumscribed about a…

Isometric of a cylinder.

Isometric of a Cylinder

Isometric of a cylinder.

Illustration of an oblique view of a hollow cylinder.

Oblique View Of Hollow Cylinder

Illustration of an oblique view of a hollow cylinder.

Illustration of an oblique view of a hollow cylinder. The portion removed from the center of the cylinder is in the shape of a rectangular prism.

Oblique View Of Hollow Cylinder

Illustration of an oblique view of a hollow cylinder. The portion removed from the center of the cylinder…

Illustration showing the intersection of a plane with a cylinder.

Plane Intersecting Cylinder

Illustration showing the intersection of a plane with a cylinder.

Illustration of the method of finding the projection, in the form of an ellipse, of the top of a cylinder greatly inclined to a plane.

Projection of Cylinder

Illustration of the method of finding the projection, in the form of an ellipse, of the top of a cylinder…

Projections of a cylinder inclined to horizontal plane.

Projections of Cylinder

Projections of a cylinder inclined to horizontal plane.

Right circular cylinder.

Right Circular Cylinder

Right circular cylinder.

Right circular cylinder with diameter of 8 and height h.

Right Circular Cylinder

Right circular cylinder with diameter of 8 and height h.