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Geometry2010p6
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Angles of Elevation and Depression
Area and Circumference
Basic Trig
Calculators
Circle Terminology
Circles
Classifying Quadrilaterals
Cones
Cylinders
Exterior Angles
Find the area of a Sector
Finding Arc Length and Measure
Finding Central and Inscribed Angle Measurements
Finding Lateral Area
Finding Surface Areas
Finding Surface Areas 2
Finding Volume
Geometric Mean
How to Represent 3D objects
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How to Represent 3D objects
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3D objects
Approaches to geometric modeling
Points, lines, planes
surfaces
solids
This is a picture of an cylinder :)
Cylinder surface of Height H, Radius R
x= R cos(t)
y= R sin(t)
z= t1
A 3D object is represented by lists of vertices, edges, and faces
A tetrahedron consists of
4 faces
each face has 3 edges
Math Terms
Out[1]=
how to represent 3D Ojects
Solids are represented by a tree of simple primitives combined using booleanset operators
Union
Subtraction
Intersection
Solid cylinder
x= t2 cos(t)
y= t2 sin(t)
z= t1
Solid Primitives
Block
Cylinder
Cone
Sphere
Wedge
Torus
http://www.rense.com/RodinAerodynamics_files/toroid_color.gif
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3D objects
Approaches to geometric modeling
This is a picture of an cylinder :)
Cylinder surface of Height H, Radius R
x= R cos(t)
y= R sin(t)
z= t1
A 3D object is represented by lists of vertices, edges, and faces
A tetrahedron consists of
 4 faces
 each face has 3 edges
Math Termshow to represent 3D Ojects
Solids are represented by a tree of simple primitives combined using booleanset operators
Solid cylinder
x= t2 cos(t)
y= t2 sin(t)
z= t1
Solid Primitives