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"The maximum safe load in pounds that any cylindrical beam is capable of sustaining at the middle when its ends merely rest upon supports, is equal to four times the cube of its diameter multiplied by .6 of the constant given in the table, and the product divided by the distance between its supports in feet." —Hallock 1905

Cylindrical Beam

"The maximum safe load in pounds that any cylindrical beam is capable of sustaining at the middle when…

"Angle of incidence equals angle of reflection." —Croft 1917

Reflection of Light

"Angle of incidence equals angle of reflection." —Croft 1917

"When two bodies of equal weight are connected by a rod, the centre of gravity will lie in the middle of that rod. When two bodies of unequal weight are so connected, the centre of gravity will be nearer to the heavier one. These principles are illustrated [here], in which C represents the centre of gravity." —Quackenbos 1859

Center of Gravity of Rod with Weights

"When two bodies of equal weight are connected by a rod, the centre of gravity will lie in the middle…

"When bodies of equal weight are supported by the arms of a lever, they will balance each other when placed at equal distances from the fulcrum." —Quackenbos 1859

Balance

"When bodies of equal weight are supported by the arms of a lever, they will balance each other when…

"On this principle the common balance, represented [here] is constructed. A beam is poised on the top of a pillar, so as to be exactly horizontal. From each end of the beam, at equal distances from the fulcrum, a pan is suspended by means of cords. The object to be weighed is placed in one of these plans, and the weights in the other." —Quackenbos 1859

Balance

"On this principle the common balance, represented [here] is constructed. A beam is poised on the top…

"In compound levers, equilibrium is established when the power, multiplied by the first arms of all the levers, is equal to the weight multiplied by the last arms of all the levers." —Quackenbos 1859

Compound Lever

"In compound levers, equilibrium is established when the power, multiplied by the first arms of all…

"Two wedges have been placed toward one another underneath the weight. Equal force is applied to each wedge which raises the weight." —Quackenbos 1859

Double Wedge

"Two wedges have been placed toward one another underneath the weight. Equal force is applied to each…

"As the ball of wood is dropped into the container or water, the water level rises and is caused to flow into the bucket. The water in the bucket, once weighed, is equal to the weight of the wooden ball." —Quackenbos 1859

Water Displacement

"As the ball of wood is dropped into the container or water, the water level rises and is caused to…

"A prism is a piece of glass, having for its sides three plane surfaces and for its ends two equal and parallel triangles." —Quackenbos 1859

Prism

"A prism is a piece of glass, having for its sides three plane surfaces and for its ends two equal and…

Square with angles labeled. A rectangle with four equal sides.

Square

Square with angles labeled. A rectangle with four equal sides.

Sketch of isosceles triangle with labels.

Isosceles Triangle

Sketch of isosceles triangle with labels.

Square with diagonal and angles labeled.

Square

Square with diagonal and angles labeled.

Sketch of equilateral triangle with bisectors, medians, and altitudes.

Equilateral Triangle

Sketch of equilateral triangle with bisectors, medians, and altitudes.

A line which is divided into seven equal parts, shown by construction.

Construction of Dividing Lines

A line which is divided into seven equal parts, shown by construction.

A line which is divided into equal parts, shown by construction and square.

Construction of Dividing Lines

A line which is divided into equal parts, shown by construction and square.

Circle divided into equal parts by concentric circles.

Dividing Circle into Equal Parts by Concentric

Circle divided into equal parts by concentric circles.

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.

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…

Illustration showing that the radian is an angle that when placed at the center of a circle its sides intercept an arc equal to the radius.

Radians in Complete Circle

Illustration showing that the radian is an angle that when placed at the center of a circle its sides…

Coordinate axis with angle XOP equal to theta, Θ, and angle XOQ=180 - Θ. From any point in the terminal side of XOP, as B, a perpendicular can be drawn, AB, to the x-axis; and from D, any point in the terminal side o f XOQ, perpendicular CD can be drawn to the x-axis. The right triangles OAB and OCD are similar. Also, OA, AB, OB, CD, and OD are positive, while OC is negative.

Coordinate Axis With Angles, Lines, and Perpendiculars Drawn

Coordinate axis with angle XOP equal to theta, Θ, and angle XOQ=180 - Θ. From any point in the terminal…

A thin transverse section of half the spinal cord magnified about 10 diameters. Labels: 1, anterior fissure; 2, posterior fissure; 3, central canal ;8, pia mater enveloping the cord; 6,7, bands of pia mater penetrating the cord and supporting its nerve elements; 9, a posterior root; 10, bundles of an anterior root; a,b,c,d,e, groups of nerve cells in the gray matter.

Spinal Cord Section

A thin transverse section of half the spinal cord magnified about 10 diameters. Labels: 1, anterior…

An isosceles triangle with angles 60, 60, 60

Isosceles Triangle degrees 60, 60, 60

An isosceles triangle with angles 60, 60, 60

Groups of change with totals from 1 to 100 cents using the least amount of coins.

1 Cent

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

2 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

3 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

4 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

5 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

6 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

7 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

8 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

9 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

10 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

11 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

12 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

13 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

14 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

15 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

16 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

17 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

18 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

19 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

20 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

21 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

22 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

23 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

24 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

25 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

26 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

27 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

28 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

29 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

30 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

31 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

32 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

33 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

34 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

35 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

36 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.

Groups of change with totals from 1 to 100 cents using the least amount of coins.

37 Cents

Groups of change with totals from 1 to 100 cents using the least amount of coins.