Illustration of a polar graph/grid that is marked, but not labeled, in 60° increments and units marked to 7.

Polar Grid In Degrees With Radius 7

Illustration of a polar graph/grid that is marked, but not labeled, in 60° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 60° increments and units marked to 8.

Polar Grid In Degrees With Radius 8

Illustration of a polar graph/grid that is marked and labeled in 60° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 60° increments and units marked to 8.

Polar Grid In Degrees With Radius 8

Illustration of a polar graph/grid that is marked, but not labeled, in 60° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 60° increments and units marked to 9.

Polar Grid In Degrees With Radius 9

Illustration of a polar graph/grid that is marked and labeled in 60° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 60° increments and units marked to 9.

Polar Grid In Degrees With Radius 9

Illustration of a polar graph/grid that is marked, but not labeled, in 60° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 10.

Polar Grid In Degrees With Radius 10

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 10.

Polar Grid In Degrees With Radius 10

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 1.

Polar Grid In Degrees With Radius 1

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 1.

Polar Grid In Degrees With Radius 1

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 2.

Polar Grid In Degrees With Radius 2

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 2.

Polar Grid In Degrees With Radius 2

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 3.

Polar Grid In Degrees With Radius 3

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 3.

Polar Grid In Degrees With Radius 3

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 4.

Polar Grid In Degrees With Radius 4

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 4.

Polar Grid In Degrees With Radius 4

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 5.

Polar Grid In Degrees With Radius 5

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 5.

Polar Grid In Degrees With Radius 5

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 6.

Polar Grid In Degrees With Radius 6

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 6.

Polar Grid In Degrees With Radius 6

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 7.

Polar Grid In Degrees With Radius 7

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 7.

Polar Grid In Degrees With Radius 7

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 8.

Polar Grid In Degrees With Radius 8

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 8.

Polar Grid In Degrees With Radius 8

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked to 9.

Polar Grid In Degrees With Radius 9

Illustration of a polar graph/grid that is marked and labeled in 45° increments and units marked…

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units marked to 9.

Polar Grid In Degrees With Radius 9

Illustration of a polar graph/grid that is marked, but not labeled, in 45° increments and units…

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.

Illustration of a circle with center O and diameters AB and CD perpendicular to each other.

Circle With 2 Perpendicular Diameters

Illustration of a circle with center O and diameters AB and CD perpendicular to each other.

Two arrangements of pulley: crossed belt and uncrossed belt. The pulleys are constructed with two circles that have the radii labeled and tangent lines drawn (strings).

Pulley

Two arrangements of pulley: crossed belt and uncrossed belt. The pulleys are constructed with two circles…

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

Construction of Radii of a Circle

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

"In geometry: (a) A plane figure inclosed between the arc of a circle, ellipse, or other central curve and two radii to its extremities from the center. Thus, in the figure, CDB is a sector of a circle." -Whitney, 1911

Sector

"In geometry: (a) A plane figure inclosed between the arc of a circle, ellipse, or other central curve…

An illustration showing a circle sector with radius r, center/central angle v, and length of circle arc b.

Circle Sector

An illustration showing a circle sector with radius r, center/central angle v, and length of circle…

An illustration showing a circle sector with center/central angle v and polygon angle w.

Circle Sector

An illustration showing a circle sector with center/central angle v and polygon angle w.

An illustration showing a circle sector with height of segment h and radius r.

Circle Sector

An illustration showing a circle sector with height of segment h and radius r.

Illustration of a semicircle with chords and radii.

Semicircle With Chords and Radii

Illustration of a semicircle with chords and radii.

An 8-inch sphere cut by parallel planes, one 2 inches from center and the other 6 inches from center. This illustration can be used to find the area of the zone and the volume of the segments.

Sphere With 8-inch Diameter Cut by Planes

An 8-inch sphere cut by parallel planes, one 2 inches from center and the other 6 inches from center.…

An illustration of a sphere inside of a cylinder with radius/diameter labeled. Illustration for showing how volume is found.

Sphere Inside of Cylinder.

An illustration of a sphere inside of a cylinder with radius/diameter labeled. Illustration for showing…

An illustration of a zone of a sphere. A zone occurs when a sphere is cut by parallel planes that are equal distances apart. This illustration is the segment of one base.

Zones or Segments of Spheres

An illustration of a zone of a sphere. A zone occurs when a sphere is cut by parallel planes that are…

An illustration of a zone of a sphere. A zone occurs when a sphere is cut by parallel planes that are equal distances apart. This illustration is the segment of two bases.

Zones or Segments of Spheres

An illustration of a zone of a sphere. A zone occurs when a sphere is cut by parallel planes that are…

"An instrument for measuring the radii of spheres; a sphere-measurer. It is of especial service to opticians in determining focal lengths, etc. of lenses. The common form consists of a vertical screwc, with a large graduated head a, a, turning in a socket supported by three legs whose hard steel points are exactly equidistant. The fixed scale b at the side, together with the graduated screwhead, makes it possible to measure with great accuracy the distance between the extremity of the screw and the plane passing through the ends of the three supports, when, for example, all the points are in contact with the surface of the sphere." —Whitney, 1889

Spherometer

"An instrument for measuring the radii of spheres; a sphere-measurer. It is of especial service to opticians…

An illustration showing a circle with radius r inscribed in a triangle with sides a, b, and c.

Circle Inscribed In A Triangle

An illustration showing a circle with radius r inscribed in a triangle with sides a, b, and c.

An illustration showing a circle with sectors D and E inscribed in a triangle with angles, A, B, and C.

Circle Inscribed In A Triangle

An illustration showing a circle with sectors D and E inscribed in a triangle with angles, A, B, and…

"Considered as a lever, the fulcrum is at the common axis, while the arms of the lever are the radii of the wheel and of the axle. The usual arrangement is to take ac, the radius of the wheel, as the power arm, and bc , the radius of the axle, as the weight arm." -Avery 1895

Wheel and Axle

"Considered as a lever, the fulcrum is at the common axis, while the arms of the lever are the radii…

"...the mechanical advantage of this machine (wheel and axle) equal the ratio between the radii, diameters, or circumferences of the wheel and of the axle." -Avery 1895

Wheel and Axle with Rope and Bucket

"...the mechanical advantage of this machine (wheel and axle) equal the ratio between the radii, diameters,…