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Horizontal curve is a curve viewed in the x and y plane, while a vertical curve is viewed in the y plane only, or viewed from the side. Think of it like a cake. the top is the horizontal and the front is the vertical
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If the curve is on the xy-plane, finding an expression for dy/dx will give you the slope of a curve at a point.
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theorems relating respectively to the volume and the surface area of a solid generated by the revolution of plane figure around an axis lying in the same plane. 1. when a plane figure is revolved about an axis lying in the same plane (but not cutting the area)The volume generated is equal to the product of the area and the length of the path described by the centre of gravity of the area . 2. When a plane curve is revolved about an axis lying in the same plane (but not cutting the curve) the surface area generated is equal to the product of the length of the curve and the length of the path of the centre of gravity of the curve.
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spine is reference direction and spline is curve, but in GSD spine is curve passing through plane.
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Yes - the plane face is the base of the cone,a dn the only other face is a curve.
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To graph the set of all the solutions to an equation in two variables, means to draw a curve on a plane, such that each solution to the equation is a point on the curve, and each point on the curve is a solution to the equation. The simplest curve is a straight line.
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The same way you read any other curve on a Cartesian plane: locate a particular point on the curve and its x/y coordinates (i.e.) price and quantity).
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A circle.
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Not necessarily. A plane dissecting a sphere would create a circle in that plane. so in order for the "line" to be both on the plane and the sphere the line would have to be a curve or segment of a circle.
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If a right circular cone intersects a plane that passes through one of its nappes, but the plane is not parallel to an edge of the cone, the resulting curve will bea(n) _____
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ellipse
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It is a mirror whose reflecting surface is curved, not flat (as in a plane mirror).
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A tangent
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An asymptote
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A plane curve all equidistant from a given fixed point, the center.
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A circle.
You don't even need the words " ... at the center of the figure".
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If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.
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Helix
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A hyperbola is an open curve formed by a plane that cuts the base of a right circular cone
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The distance from the fixed point at the center of a circle to any point on the curve is called the radius.
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if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola
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Some types of mirrors include plane mirrors, concave mirrors, and convex mirrors. Plane mirrors have flat surfaces, concave mirrors curve inward like the inside of a bowl, and convex mirrors curve outward like the outside of a bowl. Each type of mirror has unique properties that affect how they reflect light.
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If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.
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A Parabola.
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Conic section
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ellipse
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Circle.
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a circle
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Parabola
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It is the base of the cone
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a globe.
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A parabola is a specific type of curve that is U-shaped and is defined by a quadratic equation. A curve, on the other hand, is a more general term that encompasses any continuous and smooth line that may have various shapes and equations. So, all parabolas are curves, but not all curves are parabolas.
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The hyperbola is the curve at the boundary of the intersection of the cone
with a cutting plane parallel to the cone's axis.
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hyperbola
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A straight line, a curve, a plane. Probably many more options.
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An astroid is a hypocycloid with four cusps - a particular form of plane curve traced from a fixed point on a circle.
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The phrase is a "conic section".
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Yes, a circle is a closed curve: its starting and ending points are the same. (any arbitrary point)
Yes, it is a closed plane curve (two-dimensional line). A circle has a constant arc curvature, as compared to obloid or elliptical closed curves.
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No, bullets travel in straight lines due to ballistic physics. The concept of curving bullets like in the movie "Wanted" is not realistic.
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If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be a parabola, unless the intersection includes the vertex of the cone, in which case the intersection is a straight line.
This is a conic section. Depending on the angle of the plane, the section will be a circle, an ellipse, a parabola, or two hyperboles.
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The most common inclined plane is a ramp. Also a screw is a helical inclined plane. Helical because it has a curve in three dimensional space. The threads look like a ramp that goes around.
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It will be a hyperbola.
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No, the reflecting surface of a sculpture is typically not a plane surface like that of a plane mirror. It often has irregularities, textures, and contours that can distort the reflected image or create unique reflections.
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You're familiar with the xy-plane. A line with negative slope is one that goes down toward the right. A curve has a negative slope at a point if the tangent line to the curve at that point has a negative slope.
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parabola
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hyperbola
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