The typical representation of bluffs (other than rocky) on a topographical map.

Bluffs, Other than Rocky

The typical representation of bluffs (other than rocky) on a topographical map.

The typical representation of rocky bluffs on a topographical map.

Rocky Bluffs

The typical representation of rocky bluffs on a topographical map.

"The <em>buccina</em> is curved for the convenience of the performer, with a very wide mouth, to diffuse and increase the sound." &mdash; Anthon, 1891

Curved buccina

"The buccina is curved for the convenience of the performer, with a very wide mouth, to diffuse…

Illustration showing a cardioide.

Cardioide

Illustration showing a cardioide.

A cissoid curve.

Cissoid Curve

A cissoid curve.

"The horizontal alignment Turn signs may be used in advance of situations where the horizontal roadway alignment changes. The Turn sign or the Curve sign may be combined with the Cross Road sign or the Side Road sign to create a combination Horizontal Alignment/Intersection sign that depicts the condition where an intersection occurs within a turn or curve."

Combination Horizontal Alignment/Intersection, Black and White

"The horizontal alignment Turn signs may be used in advance of situations where the horizontal roadway…

"The horizontal alignment Turn signs may be used in advance of situations where the horizontal roadway alignment changes. The Turn sign or the Curve sign may be combined with the Cross Road sign or the Side Road sign to create a combination Horizontal Alignment/Intersection sign that depicts the condition where an intersection occurs within a turn or curve."

Combination Horizontal Alignment/Intersection, Color

"The horizontal alignment Turn signs may be used in advance of situations where the horizontal roadway…

"The horizontal alignment Turn signs may be used in advance of situations where the horizontal roadway alignment changes. The Turn sign or the Curve sign may be combined with the Cross Road sign or the Side Road sign to create a combination Horizontal Alignment/Intersection sign that depicts the condition where an intersection occurs within a turn or curve."

Combination Horizontal Alignment/Intersection, Outline

"The horizontal alignment Turn signs may be used in advance of situations where the horizontal roadway…

"The horizontal alignment Turn signs may be used in advance of situations where the horizontal roadway alignment changes. The Turn sign or the Curve sign may be combined with the Cross Road sign or the Side Road sign to create a combination Horizontal Alignment/Intersection sign that depicts the condition where an intersection occurs within a turn or curve."

Combination Horizontal Alignment/Intersection, Silhouette

"The horizontal alignment Turn signs may be used in advance of situations where the horizontal roadway…

Illustration showing a conchoid, "a curve, shell-like in flexure (whence the name), invented by Nicomedes in the 2nd century B.C., and used by him for finding two mean proportionals."

Conchoid

Illustration showing a conchoid, "a curve, shell-like in flexure (whence the name), invented by Nicomedes…

"Curved and contorted rocks, near Old Head of Kinsale." &mdash; Encyclopedia Britannica, 1893

Contorted Rocks

"Curved and contorted rocks, near Old Head of Kinsale." — Encyclopedia Britannica, 1893

In cartography, a contour line (often just called a "contour") joins points of equal elevation (height) above a given level, such as mean sea level. A contour map is a map illustrated with contour lines, for example a topographic map, which thus shows valleys and hills, and the steepness of slopes. The contour interval of a contour map is the difference in elevation between successive contour lines.

Contour System

In cartography, a contour line (often just called a "contour") joins points of equal elevation (height)…

If the earth were flat, as soon as an object appeared on the horizon we would see the upper and lower parts at the same time; but if it were curved, the top parts would first be seen.

Curvature of the Earth's Surface

If the earth were flat, as soon as an object appeared on the horizon we would see the upper and lower…

Illustration of blueprint used by highway engineers to widen the pavement on the inside of the curve of a road.

Curve in Pavement of Road

Illustration of blueprint used by highway engineers to widen the pavement on the inside of the curve…

A curved line with endpoints.

Line, Curved

A curved line with endpoints.

A curved line with endpoints. This illustration resembles a parabola.

Line, Curved

A curved line with endpoints. This illustration resembles a parabola.

A curved line with endpoints.

Line, Curved

A curved line with endpoints.

A curved line with endpoints.

Line, Curved

A curved line with endpoints.

A curved line with endpoints.

Line, Curved

A curved line with endpoints.

A curved line with endpoints.

Line, Curved

A curved line with endpoints.

A curved line with endpoints.

Line, Curved

A curved line with endpoints.

A curved line with endpoints.

Line, Curved

A curved line with endpoints.

A curved s-shaped line.

Line, Curved

A curved s-shaped line.

A curved wavy line.

Line, Curved Wavy

A curved wavy line.

Illustration showing conchoidal curves.

Conchoidal Curves

Illustration showing conchoidal curves.

Illustration showing conchoidal curves.

Conchoidal Curves

Illustration showing conchoidal curves.

Illustration showing confocal curves.

Confocal Curves

Illustration showing confocal curves.

The illustration of an irregular curves for solid. The isometric projection of the curve can be drawn by the series of perpendicular lines parallel to the axis.

Drawing Irregular Isometric Curves of Solid

The illustration of an irregular curves for solid. The isometric projection of the curve can be drawn…

Illustration showing equilateral curves.

Equilateral Curves

Illustration showing equilateral curves.

Illustration showing Pascal's Volute curves.

Pascal's Volute Curves

Illustration showing Pascal's Volute curves.

Illustration showing trajectory curves.

Trajectory Curves

Illustration showing trajectory curves.

Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when the circle is rolled along a straight line and always in the same plane."

Cycloid

Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when…

Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when the circle is rolled along a straight line and always in the same plane."

Cycloid

Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when…

"A cycloid is the curve generated by the motion of a point on the circumference of a circle rolled along a straight line." &mdash;French, 1911

Cycloid

"A cycloid is the curve generated by the motion of a point on the circumference of a circle rolled along…

Illustration showing cycloid curves. "The curve generated by a point in the plane of a circle when the circle is rolled along a straight line and always in the same plane."

Cycloids

Illustration showing cycloid curves. "The curve generated by a point in the plane of a circle when the…

The typical representation of depression contours, if otherwise ambiguous, on a topographical map.

Depression Contours

The typical representation of depression contours, if otherwise ambiguous, on a topographical map.

"In architecture, the swelling or outward curve of the profile of the shaft of a column. Entasis. e e, arcs of entasis." -Whitney, 1911

Entasis

"In architecture, the swelling or outward curve of the profile of the shaft of a column. Entasis. e…

"In geometry, a curve generated by the motion of a point on the circumference of a circle which rolls upon the convex side of a fixed circle." -Whitney, 1911

Epicycloid

"In geometry, a curve generated by the motion of a point on the circumference of a circle which rolls…

Epicycloid is generated by a circle rolled outside of another circle, whereas a hypocycloid is circle rolled inside another circle.

Epicycloid and Hypocycloid

Epicycloid is generated by a circle rolled outside of another circle, whereas a hypocycloid is circle…

"Azure, a flanche, argent. The flanche is formed by two curved lines nearly touching each other in the centre of the shield." -Hall, 1862

Flanche Ordinary

"Azure, a flanche, argent. The flanche is formed by two curved lines nearly touching each other in the…

Bar, usually metal, with a central loop and a hook at each end, used to hang a carcass for butchering; a roof that has two pitches on each side, where the upper roof area has less slope than the lower roof areas.

Butcher Gambrel

Bar, usually metal, with a central loop and a hook at each end, used to hang a carcass for butchering;…

In cartography, a contour line (often just called a "contour") joins points of equal elevation (height) above a given level, such as mean sea level. A contour map is a map illustrated with contour lines, for example a topographic map, which thus shows valleys and hills, and the steepness of slopes. The contour interval of a contour map is the difference in elevation between successive contour lines.

Glacier Contours

In cartography, a contour line (often just called a "contour") joins points of equal elevation (height)…

In cartography, a contour line (often just called a "contour") joins points of equal elevation (height) above a given level, such as mean sea level. A contour map is a map illustrated with contour lines, for example a topographic map, which thus shows valleys and hills, and the steepness of slopes. The contour interval of a contour map is the difference in elevation between successive contour lines.

Glacier Form Lines

In cartography, a contour line (often just called a "contour") joins points of equal elevation (height)…

A Great Circle is one which would be formed on the earth's surface by a plane passing through the earth's centre, hence dividing it into two equal parts. All great circles, therefore, divide the earth into two hemispheres.

Great Circle

A Great Circle is one which would be formed on the earth's surface by a plane passing through the earth's…

Illustration of a hyperbola with distances to foci drawn. "The difference of the distances of any point from the foci of an hyperbola is greater than or less than 2a, according as the point is on the concave or convex side of the curve."

Foci Distance of Hyperbola

Illustration of a hyperbola with distances to foci drawn. "The difference of the distances of any point…

Illustration of a hyperbola with a line bisecting the focal radii. "If through a point P of an hyperbola a line is drawn bisecting the angle between the focal radii, every point in this line except P is on the convex side of the curve.

Line Bisecting Angle Between Focal Radii in Hyperbola

Illustration of a hyperbola with a line bisecting the focal radii. "If through a point P of an hyperbola…

"Curves other than arcs of circles are drawn with the pencil or ruling pen by means of curved or irregular-shaped rulers, called irregular curves. A series of points is first determined through which the curved line is to pass. The line is then drawn through these points by using such parts of the irregular curve as will pass through several of the points at once, the curve being shifted from time to time as required." &mdash; Hallock, 1905

Irregular Curves

"Curves other than arcs of circles are drawn with the pencil or ruling pen by means of curved or irregular-shaped…

Illustration of an irregular figure. To find area, divide round curved portions in small steps with dividers ; add in any straight pieces. "Divide into narrow strips; measure their mid-ordinates. Then - Area = aver. mid-ordinate X length.

Area Of Irregular Figures

Illustration of an irregular figure. To find area, divide round curved portions in small steps with…

A Lemniscate is, in general, a curve generated by a point moving so that the product of its distances from two fixed points is the square of half the distance between the points. It is a particular case of the Cassinian oval and resembles a figure 8. When the line joining the two fixed points is the axis of x and the middle point of this line is the origin, the Cartesian equation is the fourth degree equation, (((x^2)+(y^2))^2)=2(a^2)((x^2)-(y^2)). The polar equation is (ℽ^2) = 2(a^2)cos(2θ). The locus of the feet of the perpendiculars from the center of an equilateral hyperbola to its tangents is a lemniscate. The name lemniscate is sometimes given to any crunodal symmetric quartic curve having no infinite branch. The name is also sometimes given to a general class of curves derived from other curves in the way that the above is derived from the equilateral hyperbola. With these more general definitions of the lemniscate the above curve is called the lemniscate of Bernoulli.

Lemniscate

A Lemniscate is, in general, a curve generated by a point moving so that the product of its distances…

An illustration of a curved line.

Curved Line

An illustration of a curved line.

Illustration of a curved line.

Curved Line

Illustration of a curved line.

The Meridian of any given place is that half of the meridian circle which passes through that place and both poles. A meridian of any place reaches from that place to both poles, and therefore is equal to one-half of a great circle, and, with the meridian directly opposite to it, forms a great circle called a meridian circle. There are as many meridians as there are places on the equator or on any parallel. Parallels are small circles which pass around the earth parallel to the equator.

Meridians and Parallels

The Meridian of any given place is that half of the meridian circle which passes through that place…

"When rock is reached, a curb or crib of either wood or iron is inserted."&mdash;Finley, 1917

Mining crib

"When rock is reached, a curb or crib of either wood or iron is inserted."—Finley, 1917

Illustration showing a Cassinian Oval.

Cassinian Oval

Illustration showing a Cassinian Oval.

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…

The typical representation of sand dunes on a topographical map.

Sand Dunes

The typical representation of sand dunes on a topographical map.

"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 how to construct Shield's anti-friction curve. "R represents the radius of the shaft, and C1, 2, 3, et., is the center line of the shaft. From o, set off the small distance oa; and set off a1 - R. Set off the same small distance from a to b, and make b2 = R. Continue in the same way with the other points, and the anti-friction curve is thus constructed.

Construction Of Shield's Anti-friction Curve

An illustration showing how to construct Shield's anti-friction curve. "R represents the radius of the…

"A reaping hook; a curved blade of steel (anciently also of bronze) having the edge on the inner side of the curve, with a short handle or haft, for cutting with the right hand grain or grass which is grasped by the left." &mdash;Whitney, 1889
<p>This sickle has a serrated edge on the inside curve of the blade.

Sickle with Serrated Edge

"A reaping hook; a curved blade of steel (anciently also of bronze) having the edge on the inner side…

The curve of a sine wave.

Curves of sines

The curve of a sine wave.