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Define pappus theorems?
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.
If a right circular cone intersects a plane that passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cones axis the resulting curve will?
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) _____ . ellipse
Are lines on a sphere in the same plane?
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.
What is a circle by definition?
A plane curve all equidistant from a given fixed point, the center.
What is a straight line or plane that touches a curve or curved surface at one point?
A tangent
What is the difference between horizontal curve and vertical curve vertical curve?
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
How do you calculate slope of a curve?
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.
maths?
A parabola is a U-shaped plane curve
Define pappus theorems?
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.
What is the name of the curve You See at the of a liquid in a cylinder?
The name of the curve is the "meniscus".
What is the difference between spine and spline?
spine is reference direction and spline is curve, but in GSD spine is curve passing through plane.
Does a cone have a curved and a plane face?
Yes - the plane face is the base of the cone,a dn the only other face is a curve.
What is the difference between Normal and ideal occlusion?
An ideal occlusion is that which shows a coincident mid-line, there is no crowding, no overlap, no rotations or spacing of teeth, there is correct crown angulation and inclination, the molar relationship is class 1, has an over-jet of about 2-4mm, class 1 canine relationship with a flat or slightly upwards curve of spee. A normal occlusion is one which shows some deviation from that of the ideal but is aesthetically acceptable and functionally stable for the individual.
What is the set of an equation in two variables in the set of all points in a coordinate plane that represent all the solutions of the equation?
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.
How do you read a demand curve?
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).
What is a plane curve that is everywhere equidistant from a given fixed point its center?
A circle.
What is the name of the curve at the top of the liquid cylinder?
curve
