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Illustration used to show how to draw an equilateral triangle when given the altitude.

Construction Of Equilateral Triangle

Illustration used to show how to draw an equilateral triangle when given the altitude.

Illustration used to show how to draw a triangle when given two sides and the included angle of the triangle.

Construction Of Triangle

Illustration used to show how to draw a triangle when given two sides and the included angle of the…

Illustration used to show how to find a straight line of the same length as a given arc of a circle.

Construction Of Line Equal To Arc

Illustration used to show how to find a straight line of the same length as a given arc of a circle.

Illustration of straight line AB projected upon HK.

Projection Of A Line

Illustration of straight line AB projected upon HK.

Illustration of curved line AB projected upon a flat surface.

Projection Of A Line

Illustration of curved line AB projected upon a flat surface.

Illustration showing the cone being treated as a many-sided pyramid.

Relation Of Pyramid To Cone

Illustration showing the cone being treated as a many-sided pyramid.

"If a straight line is perpendicular to each of two straight lines at their point of intersection it is perpendicular to the plane of those lines."

Line Perpendicular To Plane

"If a straight line is perpendicular to each of two straight lines at their point of intersection it…

"If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the lane, and its intersection with that line is joined to any point of the perpendicular, this last line will be perpendicular to the line in the plane."

Perpendicular To Line In Plane

"If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line…

"Two straight lines perpendicular to the same plane are parallel."

Parallel Lines

"Two straight lines perpendicular to the same plane are parallel."

"If one of two parallels is perpendicular to a plane, the other is also."

Lines Perpendicular To A Plane

"If one of two parallels is perpendicular to a plane, the other is also."

"Two straight lines that are parallel to a third are parallel to each other."

Parallel Lines

"Two straight lines that are parallel to a third are parallel to each other."

Illustration of three intersecting planes. "The intersections of two parallel planes by a third plane are parallel lines."

3 Intersecting Planes

Illustration of three intersecting planes. "The intersections of two parallel planes by a third plane…

"If two intersecting lines are each parallel to a given plane, the plane of these lines is parallel to the given plane."

Parallel Planes

"If two intersecting lines are each parallel to a given plane, the plane of these lines is parallel…

"If two straight lines are cut by three parallel planes, the corresponding segments are proportional."

3 Parallel Planes

"If two straight lines are cut by three parallel planes, the corresponding segments are proportional."

"Through a given line oblique to a plane, one, and only one plane, can be passed perpendicular to the given plane."

Plane Passed Perpendicular To A Given Plane

"Through a given line oblique to a plane, one, and only one plane, can be passed perpendicular to the…

"A modification of the basin plan, as applied to ground with considerable slope and consisting of hillside land, wherein f m is the main ditch on the highest side of the field, of which b c d e mark the boundaries. Its surface slopes in the direction of the arrows; o o and q q are "check levees," or slight embankments, built on level lines around the curved surfaces of the field. A supply ditch, i j, leads the water into the 'checks' or basins b c, o o, and q q, etc., and t w l is a waste ditch for discharging the surplus water from the checks when no longer needed." -Department of Agriculture

Irrigation by Checks

"A modification of the basin plan, as applied to ground with considerable slope and consisting of hillside…

In the valley glaciers, the rock fragments falling upon the ice from the valley sides, or sliding down in avalanches, accumulate upon the side of the ice, and as the glacier moves a long, such accumulations are strung out in lines of drift along the margin. This constitutes a lateral moraine.

Lateral Moraine

In the valley glaciers, the rock fragments falling upon the ice from the valley sides, or sliding down…

"A shaft-bearing secured to the floor, and used for running countershafts and lines when they cannot conveniently be suspended from the ceiling-joists." -Whitney, 1911

Floor Hanger

"A shaft-bearing secured to the floor, and used for running countershafts and lines when they cannot…

A series of diagrams showing the development of the Chief Mountain thrust. The older rocks from which the mountains are cut are represented by cross-lines, the younger rocks of the plains in white.

The Chief Mountain Thrust of Montana

A series of diagrams showing the development of the Chief Mountain thrust. The older rocks from which…

A piece of rock in which slaty cleavage has been developed, as shown by the fine lines; the coarser bands represent the original bedding planes, now compressed and contorted.

Slaty Cleavage

A piece of rock in which slaty cleavage has been developed, as shown by the fine lines; the coarser…

A shield or escutcheon emblazoned with the color tincture, gules (red), represented by vertical lines.

Gules Shield Color

A shield or escutcheon emblazoned with the color tincture, gules (red), represented by vertical lines.

A shield or escutcheon emblazoned with the color tincture, azure (blue), represented by horizontal lines.

Azure Shield Color

A shield or escutcheon emblazoned with the color tincture, azure (blue), represented by horizontal lines.

A shield or escutcheon emblazoned with the color tincture, vert (green), represented by diagonal lines going from upper left to lower right.

Vert Shield Color

A shield or escutcheon emblazoned with the color tincture, vert (green), represented by diagonal lines…

A shield or escutcheon emblazoned with the color tincture, purpure (purple), represented by diagonal lines going from upper right to lower left.

Purpure Shield Color

A shield or escutcheon emblazoned with the color tincture, purpure (purple), represented by diagonal…

A shield or escutcheon emblazoned with the color tincture, sable (black), represented by crossed vertical and horizontal lines.

Sable Shield Color

A shield or escutcheon emblazoned with the color tincture, sable (black), represented by crossed vertical…

A shield or escutcheon emblazoned with the fur, vair, represented by alternating azure (blue) and argent (silver) bell shapes with horizontal lines.

Vair Shield Fur

A shield or escutcheon emblazoned with the fur, vair, represented by alternating azure (blue) and argent…

A shield or escutcheon emblazoned with the fur, vair, represented by alternating azure (blue) and argent (silver) bell shapes with horizontal lines.

Counter-Vair Shield Fur

A shield or escutcheon emblazoned with the fur, vair, represented by alternating azure (blue) and argent…

"Diphyllodes magnifica, Magnificent Bird of Paradise, has a brown head and under surface, green throat and breast-shield, orange-brown back surmounted by a double cape of straw-yellow upon red-brown, and long, curved steel-blue head, with two lines of brown feathers crossing each other at right angles, and for its blue feet." A. H. Evans, 1900

Magnificent Bird of Paradise

"Diphyllodes magnifica, Magnificent Bird of Paradise, has a brown head and under surface, green throat…

"Skeleton of the Limbs and Tail of a Carinate Bird. (The skeleton of the body is indicated by dotted lines.) F, digits; Fi, fibula; HW, carpus; MF, tarsometatarsus; MH, carpometacarpus; OA, humerus; OS, femur; Py, pygostyle; R, coracoid; Ul, ulna; Sch, scapula; St, sternum, with its keel (Cr); T, tibiotarsus; Rd, radius; Z, Z, digits of foot. (From Wiedersheim.)" A. H. Evans, 1900

Skeleton of the Limbs and Tail of a Carinate Bird

"Skeleton of the Limbs and Tail of a Carinate Bird. (The skeleton of the body is indicated by dotted…

Diagram used to prove the theorem: "Between two straight lines not in the same plane only one perpendicular can be drawn."

Perpendicular Between 2 Straight Lines

Diagram used to prove the theorem: "Between two straight lines not in the same plane only one perpendicular…

Diagram used to prove the theorem: "The area of the surface generated by a straight line revolving about an axis in its plane is equal to the product of the projection of the line on the axis by the circumference whose radius is perpendicular erected at the middle point of the line and terminated by the axis."

Area of Surface Generated by a Straight Line

Diagram used to prove the theorem: "The area of the surface generated by a straight line revolving about…

"If a sector revolves about its bounding radius as an axis, it generates what may be called a spherical cone."

Spherical Cone

"If a sector revolves about its bounding radius as an axis, it generates what may be called a spherical…

A line engrailed for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Engrailed

A line engrailed for dividing a field. "Escutcheons that have more than one tincture are divided by…

A line invected for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Invected

A line invected for dividing a field. "Escutcheons that have more than one tincture are divided by lines…

A line wavy or undé for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Wavy

A line wavy or undé for dividing a field. "Escutcheons that have more than one tincture are divided…

A line embattled or crenelle for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Embattled

A line embattled or crenelle for dividing a field. "Escutcheons that have more than one tincture are…

A line nebule for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Nebule

A line nebule for dividing a field. "Escutcheons that have more than one tincture are divided by lines…

A line indented for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Indented

A line indented for dividing a field. "Escutcheons that have more than one tincture are divided by lines…

A line dancette for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Dancette

A line dancette for dividing a field. "Escutcheons that have more than one tincture are divided by lines…

A line angled for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Angled

A line angled for dividing a field. "Escutcheons that have more than one tincture are divided by lines…

A line bevilled for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Bevilled

A line bevilled for dividing a field. "Escutcheons that have more than one tincture are divided by lines…

A line escartelle for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Escartelle

A line escartelle for dividing a field. "Escutcheons that have more than one tincture are divided by…

A line nowy or franché for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Nowy

A line nowy or franché for dividing a field. "Escutcheons that have more than one tincture are…

A line dove-tailed for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Dove-Tailed

A line dove-tailed for dividing a field. "Escutcheons that have more than one tincture are divided by…

A line embattled grady or battled embattled for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Embattled Grady

A line embattled grady or battled embattled for dividing a field. "Escutcheons that have more than one…

A line potent for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Potent

A line potent for dividing a field. "Escutcheons that have more than one tincture are divided by lines…

A line double arched for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Double Arched

A line double arched for dividing a field. "Escutcheons that have more than one tincture are divided…

A line arched or enarched for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Arched

A line arched or enarched for dividing a field. "Escutcheons that have more than one tincture are divided…

A line urdée for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Urdée

A line urdée for dividing a field. "Escutcheons that have more than one tincture are divided…

A line radient for dividing a field. "Escutcheons that have more than one tincture are divided by lines ... Curved and angular lines are numerous, and each has an Heraldic name expressive of its form." -Hall, 1862

Line Radient

A line radient for dividing a field. "Escutcheons that have more than one tincture are divided by lines…

"QUARTERED PER SALTIER, which is made by two diagonal lines, dexter and sinister, crossing each other in the centre of the field." -Hall, 1862

Quartered Per Saltier

"QUARTERED PER SALTIER, which is made by two diagonal lines, dexter and sinister, crossing each other…

Capital letter D designed and accented with a floral motif including flowers, leaves, lines, and shapes inside and outside the letter

Capital Letter D with Floral Motif

Capital letter D designed and accented with a floral motif including flowers, leaves, lines, and shapes…

"Azure, a pale, or. The pale is an honourable ordinary, consisting of two perpendicular lines drawn from the top to the base of the escutcheon, and contains one third of the width of the field." -Hall, 1862

Pale Ordinary

"Azure, a pale, or. The pale is an honourable ordinary, consisting of two perpendicular lines drawn…

"Argent, a bend, vert. The bend is an honourable ordinary, formed by two diagonal lines drawn from the dexter chief to the sinister base, and contains the fifth part of the field if uncharged; but if charged with other figures, the third part of the field." -Hall, 1862

Ordinary Bend

"Argent, a bend, vert. The bend is an honourable ordinary, formed by two diagonal lines drawn from the…

Diagram an ellipse with a tangent line that illustrates "A line through a point on the ellipse and bisecting the external angle between the focal radii is a tangent."

Tangent to an Ellipse

Diagram an ellipse with a tangent line that illustrates "A line through a point on the ellipse and bisecting…

Diagram part of a hyperbola with a tangent line that illustrates "A line through a point on the hyperbola and bisecting the internal angle between the focal radii is a tangent."

Tangent to a Hyperbola

Diagram part of a hyperbola with a tangent line that illustrates "A line through a point on the hyperbola…

Argent, a fess, azure. The fess is formed by two horizontal lines drawn above and below the centre of the shield. The fess contains in breadth one third of the field. -Hall, 1862

Shield Showing Baton

Argent, a fess, azure. The fess is formed by two horizontal lines drawn above and below the centre of…

Gules, two bars, argent. The bar is formed in the same manner as the fess, but it only occupies the fifth part of the field. It differs from the fess, that ordinary being always placed in the centre of the field; but the bar may be placed in any part of it, and there may be more than one bar in an escutcheon. -Hall, 1862

Shield Showing Fess

Gules, two bars, argent. The bar is formed in the same manner as the fess, but it only occupies the…

5 Then went Samson down, and his father and his mother, to Timnath, and came to the vineyards of Timnath: and, behold, a young lion roared against him. 6 And the Spirit of the LORD came mightily upon him, and he rent him as he would have rent a kid, and he had nothing in his hand: but he told not his father or his mother what he had done. Judges 14:5-6 KJV

Saltier Ordinary

5 Then went Samson down, and his father and his mother, to Timnath, and came to the vineyards of Timnath:…

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.