The Scale of the Architects
Scales are made with different divisions for different purposes. For machine, structural and architectural…
Equal Circles With Intercepted Arcs
Illustration of equal circles to show that two central angles have the same ratio as their intercepted…
2 Narrow Cylinders on Their Sides
Illustration of 2 narrow right circular cylinders with equal heights (thickness) and different diameters.…
2 Right Circular Cylinders
Illustration of 2 right circular cylinders in which one cylinder is twice the height of the other.
2 Right Circular Cylinders
Illustration of 2 right circular cylinders in which one cylinder is twice the height and twice the diameter…
Extension Ladder
Illustration of an extension ladder. If ladder is leaned against a building, it will form a right triangle…
Leaning Ladder
Illustration of a ladder that is not perpendicular to the ground. If it is set on the ground and leaned…
Leaning Ladder
Illustration of a ladder that is not perpendicular to the ground. If it is set on the ground and leaned…
Leaning Ladder
Illustration of a ladder that is not perpendicular to the ground. If it is set on the ground and leaned…
Leaning Ladder
Illustration of a ladder that is not perpendicular to the ground. If it is set on the ground and leaned…
Ladder Leaning Against a Building
Illustration of a ladder leaning against the side of a building (wall) to form a right triangle .
Ladder Leaning Against a Tree
Illustration of a ladder leaning against a palm tree, that is perpendicular to the ground, to form a…
Ladder Leaning Against a Tree
Illustration of a ladder leaning against a palm tree, that is perpendicular to the ground, to form a…
Ladder Leaning Against a Tree
Illustration of a ladder leaning against a palm tree, that is perpendicular to the ground, to form a…
Ladder Leaning Against a Tree
Illustration of a ladder leaning against a palm tree, that is perpendicular to the ground, to form a…
2 Ladders Leaning Against a Tree
Illustration of 2 ladders leaning against opposite sides of a palm tree to form similar right triangles.…
3 Ladders Leaning Against a Wall
Illustration of 3 ladders leaning against the side of a building (wall) to form right triangles. The…
Lever and Fulcrum
Illustration of a lever with fulcrum F. W represents the weight lifted, P is the force that does the…
Lever Balanced on fulcrum With Weights
An illustration of a lever with weights m and n with distances a and b from fulcrum. Illustration could…
Steel-yard Used as a Lever
Illustration of an ordinary steel-yard being used as a lever. F represents the fulcrum. Weight P is…
Parallel Lines Cut by Transversals
Illustration that shows if two parallel lines are cut by three or more transversals that pass through…
Parallel Lines Cut by Transversals
Illustration that shows if two parallel lines are cut by three or more transversals that pass through…
Pyramid Cut By Plane
Diagram used to prove the theorem: "If a pyramid is cut by a plane parallel to the base, the edges are…
3 Parallel Planes
"If two straight lines are cut by three parallel planes, the corresponding segments are proportional."
Similar Polygons (Pentagons) That Can Be Used To Show Proportionality
Illustration that shows similar polygons (pentagons) that can be used to show proportionality.
Similar Polygons (Pentagons) That Can Be Used To Show Proportionality
Illustration that shows similar polygons (pentagons) that can be used to show proportionality.
Similar Polyhedrons
Two similar polyhedrons may be decomposed into the same number of tetrahedrons similar, each to each,…
Hydraulic Machine Exerting Pressure
Illustration of a hydraulic machine. "A principle known as Pascal's Law states that pressure exerted…
2 Rectangular Prisms
Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism…
2 Rectangular Prisms
Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism…
Angle Bisector of Triangle Dividing Opposite Side Into Proportionate Segments
Illustration to show that an angle bisector of a triangle divides the opposite side into segments which…
Exterior Angle Bisector of Triangle Dividing Opposite Side Into Proportionate Segments
Illustration to show that a bisector of a an exterior angle of a triangle divides the opposite side…
Parallel Lines Cut by Parallels, Corresponding Intercepts Proportional
Illustration to show that if parallel lines are cut by any number of parallels, the corresponding intercepts…
Triangle Divided by Parallel Lines to Form Proportionate Triangles
Illustration to show that if a line is drawn through two sides of a triangle parallel to the third side,…
Triangle Divided by Parallel Lines to Form Proportionate Triangles
Illustration to show that if a line divides two sides of a triangle proportionally, it is parallel to…
Construction of Proportional Square
Illustration used to construct a square that shall be in proportion to a given square.
Construction of Proportional Square
Illustration used to construct a square that shall be in proportion to a given square.
Similar Tetrahedrons
The volumes of two similar tetrahedrons are to each other as the cubes of their homologous (corresponding)…
Two Proportional Tetrahedrons
Diagram used to prove the theorem: "Two tetrahedrons having a trihedral angle in each equal, are to…
Leaning Tower
Illustration of a leaning tower with a perpendicular drawn from the top of the tower to the ground to…
Palm Tree Perpendicular to Ground
Illustration of a palm tree that is perpendicular to the ground. The tree is perfectly straight, as…
Using Proportions To Find Heights of Trees
Triangle diagram for measuring heights of trees using proportions.
Using Proportions To Find Heights of Trees
Triangle diagram for measuring heights of trees using proportions
Right Triangle Inscribed in Semicircle Shows Mean Proportional
Right triangle inscribed in semicircle. Illustration shows that the perpendicular from any point in…
Oblique Triangle for Distance Across a River
Illustration of oblique triangle used to find distance across a river.
Oblique Triangle for Distance Across a River
Illustration of oblique triangle used to find distance across a river.
Oblique Triangle for Distance Across Lake
Illustration of oblique triangle used to find distance across a lake.
Mutually Equiangular Similar Triangles
Illustration that shows two mutually equiangular triangles are similar.
Similar Triangles With Respective Sides Parallel or Perpendicular
Illustration that shows that two triangles which have their sides respectively parallel, or respectively…