IED 02.01 Geometric Shapes and Solids Flashcards

Terms Definitions
Acute Triangle
A triangle that contains only angles that are less than 90 degrees.
Angle
The amount of rotation needed to bring one line or plane into coincidence with another, generally measured in radians or degrees.
Area
The number of square units required to cover a surface.
Axis
1. An imaginary line through a body, about which it rotates. 2. An imaginary line about which a regular figure is symmetrically arranged. 3. A fixed reference line for the measurement of coordinates.
Cartesian Coordinate System
A rectangular coordinate system created by three mutually perpendicular coordinate axes, commonly labeled X, Y, and Z.
Chamfer
A small angled surface formed between two surfaces.
Circle
The set of all points in a plane at a given distance from a given point in the plane.
Circumscribe
1. A triangle located round a polygon such as a circle. 2 To draw a figure around another, touching it at points but not cutting it.
Computer-Aided Design or Computer-Aided Drafting (CAD)
1. For design, the use of a computer to assist in the process of designing a part, circuit, building, etc. 2. For drafting, the use of a computer to assist in the process of creating, storing, retrieving, modifying, plotting, and communicating a technical drawing.
Counterbore
A cylindrical recess around a hole, usually to receive a bolt head or nut.
Countersink
A conical-shaped recess around a hole, often used to receive a tapered screw.
Cylinder
A solid composed of two congruent circles in parallel planes, their interiors, and all the line segments parallel to the axis with endpoints on the two circles.
Diameter
A straight line passing from side to side through the center of a circle or sphere.
Ellipse
A regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base.
Extrusion
1. A manufacturing process that forces material through a shaped opening. 2. A modeling process that creates a three-dimensional form by defining a closed two-dimensional shape and a length.
Geometric Constraint
Constant, non-numerical relationships between the parts of a geometric figure. Examples include parallelism, perpendicularity, and concentricity.
Inscribe
To draw a figure within another so that their boundaries touch but do not intersect.
Mass
The amount of matter an object contains.
Numeric Constraint
A number value, or algebraic equation that is used to control the size or location of a geometric figure.
Obtuse Triangle
A triangle with one angle that is greater than 90 degrees.
Origin
A fixed point from which coordinates are measured.
Parallelogram
A quadrilateral polygon with opposite sides parallel.
Pattern
A repeated decorative design.
Pi
The numerical value of the ratio of the circumference of a circle to its diameter of approximately 3.14159.
Plane
A flat surface on which a straight line joining any two points would wholly lie.
Polygon
A closed geometric figure in a plane formed by connecting line segements endpoint to endpoint with each segment intersecting exactly two others. Polygons are classified by the number of sides they have, such as a triangle has three sides, a quadrilateral has four sides, and a pentagon has five sides.
Prism
A solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
Quadrilateral
A four-sided polygon.
Radius
A straight line from the center to the circumference of a circle or sphere.
Rectangle
A parallelogram with 90 degree angles. A square is also a rectangle.
Regular Polygon
A polygon with equal angles and equal sides.
Revolution
Creating a 3D solid or surface by revolving a 2D shape about an axis.
Right Triangle
A triangle that has a 90 degree angle.
Rotation
Turning around an axis or center point.
Round
A rounded exterior blend between two surfaces.
Solid
A three-dimensional body or geometric figure.
Solid Modeling
A type of 3D CAD modeling that represents the volume of an object, not just its lines and surfaces. This allows for analysis of the object's mass properties.
Space
1. The dimensions of height, depth, and width within which all things exist and move. 2. A free or unoccupied area or expanse.
Square
A regular polygon with four equal sides and four 90 degree angles.
Surface Area
1. The sum of all the areas of all the faces or surfaces that enclose a solid. 2. The sum of all the areas of all surfaces of a solid.
Tap
To cut internal threads.
Taper
Gradual diminution of width or thickness in an elongated object.
Three-Dimensional
Having the dimensions of height, width, and depth.
Triangle
A polygon with three sides.
Two-Dimensional
Having the dimensions of height and width, height and depth, or width and depth only.
Vertex
Each angular point of a polygon, polyhedron, or other figure.
Volume
The amount of space occupied by a substance or object or enclosed within a container.
Working Drawings
Drawings that convey all of the information needed to manufacture and assemble a design.
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