Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 57

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 58

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 59

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 6

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 60

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 61

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 62

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 63

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 64

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 66

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 67

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 68

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 69

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 7

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 70

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 71

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 72

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 73

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 74

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 75

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 76

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 77

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 78

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 79

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 8

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 80

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 81

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 82

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 83

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 84

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 85

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 86

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 87

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 88

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 89

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 9

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 90

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 91

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 92

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 93

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 94

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 95

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 96

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 97

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 98

Geometric pattern for translation and rotation exercises.

Geometric pattern for translation and rotation exercises.

Geometric Block Pattern 99

Geometric pattern for translation and rotation exercises.

"A polygon of five sides." -—Hallock 1905

Pentagon

"A polygon of five sides." -—Hallock 1905

An illustration showing how to construct a pentagon inscribed in a circle. "Draw the diameter AB, and from the center C erect the perpendicular CD. Bisect the radius AC at E; with E as center, and DE as radius, draw the arc DE, and the straight line DF is the length of the side of the pentagon."

Construction Of A Pentagon Inscribed In A Circle

An illustration showing how to construct a pentagon inscribed in a circle. "Draw the diameter AB, and…

An illustration showing how to construct a pentagon on a given line. "From B erect BC perpendicular to and half the length of AB; join A and C prolonged to D; with C as center and CB as radius, draw the arc BD; then the chord BB is the radius of the circle circumscribing the pentagon. With A and B as centers, and BD as radius, draw the cross O in the center."

Construction Of A Pentagon On A Line

An illustration showing how to construct a pentagon on a given line. "From B erect BC perpendicular…

An illustration showing how to construct a pentagon on a given line without resort to its center. "From B erect Bo perpendicular to and equal to AB; with C as center and Co as radius, draw the arc Do, then AD is the diagonal of the pentagon. With AD as radius and A as center, draw the arc DE; and with E as center and AB as radius, finish the cross E, and thus complete the pentagon."

Construction Of A Pentagon On A Line

An illustration showing how to construct a pentagon on a given line without resort to its center. "From…

Illustration of the construction used to make a perpendicular bisector of a straight line.

Construction Of A Perpendicular Bisector Of A Straight Line

Illustration of the construction used to make a perpendicular bisector of a straight line.

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.

An alternate form of the perpendicular distance method.

Alternate Form, Perpendicular Distance

An alternate form of the perpendicular distance method.

Illustration of the construction used to create a perpendicular to a straight line at a given point.

Construction Of A Perpendicular To A Straight Line

Illustration of the construction used to create a perpendicular to a straight line at a given point.

Illustration of the construction used to create a perpendicular to a straight line from a given point not on the line.

Construction Of A Perpendicular To A Straight Line

Illustration of the construction used to create a perpendicular to a straight line from a given point…

An illustration showing the construction used to erect a perpendicular. "With C as a center, draw the dotted circle arcs at A and B equal distances from C. With A and B as centers, draw the dotted circle arcs at D. From the crossing D draw the required perpendicular DC."

Construction Of A Perpendicular

An illustration showing the construction used to erect a perpendicular. "With C as a center, draw the…

An illustration showing the construction used to erect a perpendicular from a point to a line. "With C as a center, draw the dotted circle arc so that it cuts the line at A and B. With A and B as centers, draw the dotted cross arcs at D with equal radii. Draw the required perpendicular through C and crossing D."

Construction Of A Perpendicular

An illustration showing the construction used to erect a perpendicular from a point to a line. "With…

An illustration showing the construction used to erect a perpendicular at the end of a line. "With the point D as a center at a distance from the line, and with AD as radius, draw the dotted circle arc so that it cuts the line at E through E and D, draw the diameter EC: then join C and A, which will be the required perpendicular."

Construction Of A Perpendicular

An illustration showing the construction used to erect a perpendicular at the end of a line. "With the…

A circle with part of a triangle inscribed in it. They are lying on a coordinate plane.

Coordinate Plane

A circle with part of a triangle inscribed in it. They are lying on a coordinate plane.

"A crystal has a center of symmetry if an imaginary line is passed from some point on its surface through its center, and a similar point is found on the line at an equal distance beyond the center." — Ford, 1912

Symmetry plane

"A crystal has a center of symmetry if an imaginary line is passed from some point on its surface through…