"The maximum safe load in pounds that should be allowed at the end of any cylindrical cantilever is equal to the cube of its diameter in inches multiplied by .6 of the constant given in the tale, and the product divided by its length in feet." —Hallock 1905

Cylindrical Cantilever

"The maximum safe load in pounds that should be allowed at the end of any cylindrical cantilever is…

"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…

9' by 9' by 9' Cube with diagonals labeled.

Cube 9 by 9 by 9 With Diagonals

9' by 9' by 9' Cube with diagonals labeled.

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 cube with the faces shaded.

Cube With Faces Shaded

An illustration of a cube with the faces shaded.

An orthographic illustration of a die displaying sides 1, 2, and 4.

Die with sides 01, 02, 04

An orthographic illustration of a die displaying sides 1, 2, and 4.

An orthographic illustration of a die displaying sides 1, 3, and 2.

Die with sides 01, 03, 02

An orthographic illustration of a die displaying sides 1, 3, and 2.

An orthographic illustration of a die displaying sides 1, 4, and 5.

Die with sides 01, 04, 05

An orthographic illustration of a die displaying sides 1, 4, and 5.

An orthographic illustration of a die displaying sides 1, 5, and 3.

Die with sides 01, 05, 03

An orthographic illustration of a die displaying sides 1, 5, and 3.

An orthographic illustration of a die displaying sides 2, 1, and 3.

Die with sides 02, 01, 03

An orthographic illustration of a die displaying sides 2, 1, and 3.

An orthographic illustration of a die displaying sides 2, 3, and 6.

Die with sides 02, 03, 06

An orthographic illustration of a die displaying sides 2, 3, and 6.

An orthographic illustration of a die displaying sides 2, 4, and 1.

Die with sides 02, 04, 01

An orthographic illustration of a die displaying sides 2, 4, and 1.

An orthographic illustration of a die displaying sides 2, 6, and 4.

Die with sides 02, 06, 04

An orthographic illustration of a die displaying sides 2, 6, and 4.

An orthographic illustration of a die displaying sides 3, 1, and 5.

Die with sides 03, 01, 05

An orthographic illustration of a die displaying sides 3, 1, and 5.

An orthographic illustration of a die displaying sides 3, 2, and 1.

Die with sides 03, 02, 01

An orthographic illustration of a die displaying sides 3, 2, and 1.

An orthographic illustration of a die displaying sides 3, 5, and 6.

Die with sides 03, 05, 06

An orthographic illustration of a die displaying sides 3, 5, and 6.

An orthographic illustration of a die displaying sides 3, 6, and 2.

Die with sides 03, 06, 02

An orthographic illustration of a die displaying sides 3, 6, and 2.

An orthographic illustration of a die displaying sides 4, 1, and 2.

Die with sides 04, 01, 02

An orthographic illustration of a die displaying sides 4, 1, and 2.

An orthographic illustration of a die displaying sides 4, 2, and 6.

Die with sides 04, 02, 06

An orthographic illustration of a die displaying sides 4, 2, and 6.

An orthographic illustration of a die displaying sides 4, 5, and 1.

Die with sides 04, 05, 01

An orthographic illustration of a die displaying sides 4, 5, and 1.

An orthographic illustration of a die displaying sides 4, 6, and 5.

Die with sides 04, 06, 05

An orthographic illustration of a die displaying sides 4, 6, and 5.

An orthographic illustration of a die displaying sides 5, 1, and 4.

Die with sides 05, 01, 04

An orthographic illustration of a die displaying sides 5, 1, and 4.

An orthographic illustration of a die displaying sides 5, 3, and 1.

Die with sides 05, 03, 01

An orthographic illustration of a die displaying sides 5, 3, and 1.

An orthographic illustration of a die displaying sides 5, 4, and 6.

Die with sides 05, 04, 06

An orthographic illustration of a die displaying sides 5, 4, and 6.

An orthographic illustration of a die displaying sides 5, 6, and 3.

Die with sides 05, 06, 03

An orthographic illustration of a die displaying sides 5, 6, and 3.

An orthographic illustration of a die displaying sides 6, 2, and 3.

Die with sides 06, 02, 03

An orthographic illustration of a die displaying sides 6, 2, and 3.

An orthographic illustration of a die displaying sides 6, 3, and 5.

Die with sides 06, 03, 05

An orthographic illustration of a die displaying sides 6, 3, and 5.

An orthographic illustration of a die displaying sides 6, 4, and 2.

Die with sides 06, 04, 02

An orthographic illustration of a die displaying sides 6, 4, and 2.

An orthographic illustration of a die displaying sides 6, 5, and 4.

Die with sides 06, 05, 04

An orthographic illustration of a die displaying sides 6, 5, and 4.

Three large rhombuses for pattern block set.

Large Rhombuses for Pattern Block Set

Three large rhombuses for pattern block set.

A flashcard featuring an illustration of a Cube

Flashcard of a Cube

A flashcard featuring an illustration of a Cube

Pair of thrown dice showing two ones.

Dice Pair, 1-1

Pair of thrown dice showing two ones.

Pair of thrown dice showing a one and a two.

Dice Pair, 1-2

Pair of thrown dice showing a one and a two.

Pair of thrown dice showing two twos.

Dice Pair, 2-2

Pair of thrown dice showing two twos.

Pair of thrown dice showing a one and a three.

Dice Pair, 3-1

Pair of thrown dice showing a one and a three.

Pair of thrown dice showing a two and a three.

Dice Pair, 3-2

Pair of thrown dice showing a two and a three.

Pair of thrown dice showing two threes.

Dice Pair, 3-3

Pair of thrown dice showing two threes.

Pair of thrown dice showing a four and a one.

Dice Pair, 4-1

Pair of thrown dice showing a four and a one.

Pair of thrown dice showing a four and a two.

Dice Pair, 4-2

Pair of thrown dice showing a four and a two.

Pair of thrown dice showing a four and a three.

Dice Pair, 4-3

Pair of thrown dice showing a four and a three.

Pair of thrown dice showing two fours.

Dice Pair, 4-4

Pair of thrown dice showing two fours.

Pair of thrown dice showing a five and a one.

Dice Pair, 5-1

Pair of thrown dice showing a five and a one.

Pair of thrown dice showing a five and a two.

Dice Pair, 5-2

Pair of thrown dice showing a five and a two.

Pair of thrown dice showing a five and a three.

Dice Pair, 5-3

Pair of thrown dice showing a five and a three.

Pair of thrown dice showing a five and a four.

Dice Pair, 5-4

Pair of thrown dice showing a five and a four.

Pair of thrown dice showing a pair of fives.

Dice Pair, 5-5

Pair of thrown dice showing a pair of fives.

Pair of thrown dice showing a six and a one.

Dice Pair, 6-1

Pair of thrown dice showing a six and a one.

Pair of thrown dice showing a six and a two.

Dice Pair, 6-2

Pair of thrown dice showing a six and a two.

Pair of thrown dice showing a six and a three.

Dice Pair, 6-3

Pair of thrown dice showing a six and a three.

Pair of thrown dice showing a six and a four.

Dice Pair, 6-4

Pair of thrown dice showing a six and a four.

Pair of thrown dice showing a six and a five.

Dice Pair, 6-5

Pair of thrown dice showing a six and a five.

Pair of thrown dice showing a pair of sixes.

Dice Pair, 6-6

Pair of thrown dice showing a pair of sixes.

A die with face of one.

Die Showing One

A die with face of one.

A die with face of two.

Die Showing Two

A die with face of two.

A die with face of three.

Die Showing Three

A die with face of three.

A die with face of four.

Die Showing Four

A die with face of four.

A die with face of five.

Die Showing Five

A die with face of five.

A die with face of six.

Die Showing Six

A die with face of six.

Illustration of a sphere inscribed in a cube.

Sphere Inscribed in a Cube

Illustration of a sphere inscribed in a cube.

Illustration of a sphere inscribed in a cube.

Sphere Inscribed in a Cube

Illustration of a sphere inscribed in a cube.