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QUESTION
State the parallel postulate for each of the following. a. Euclidean geometry, b. Lobachevskian geometry, c. Riemannian geometry
GEOMETRY
Define non-Euclidean geometry in terms of Euclidean geometry.
QUESTION
What is the maximum number of right angles a triangle can have in a. Euclidean geometry? b. Lobachevskian geometry? c. Riemannian geometry?
QUESTION
Name the mathematician who called the geometry he developed “imaginary geometry.”
PROBABILITY
State the theorem concerning the sum of the measures of the angles of a triangle in (a) Euclidean geometry. (b) Hyperbolic geometry. (c) Elliptical geometry.
QUESTION
What can be stated about the sum of the measures of the angles of a triangle in a. Euclidean geometry? b. Lobachevskian geometry? c. Riemannian geometry?
DISCRETE MATH
Computational geometry.
DISCRETE MATH
Computational geometry
GEOMETRY
What is geometry?
QUESTION
What is the maximum number of right angles a triangle can have in a. Lobachevskian geometry? b. Riemannian geometry?
GEOMETRY
What is a coordinate geometry proof?
PHYSICAL SCIENCE
What is meant by channel geometry?
GEOMETRY
The probability that a student takes both geometry and French at Satomi's school is 1.6%. The probability that a student takes French is 8%. If the two events (taking geometry and taking French) are independent, what is the probability that a student takes geometry?
QUESTION
What is another name for Riemannian geometry?
CALCULUS
(a) Prove, without recourse to geometry, that
GEOMETRY
Describe some ways that artists use geometry.
QUESTION
What is another name for Lobachevskian geometry?
GEOMETRY
Bring to class an object from nature that shows geometry. Describe the geometry that you find in the object as well as any symmetry the object has.
CHEMISTRY
What factors affect the geometry of a molecule?
GEOMETRY
What are the fundamental building blocks of geometry?
GEOMETRY
Explain why undefined terms are necessary in geometry.
PREALGEBRA
HOW can algebraic concepts be applied to geometry?
GEOMETRY
What are the classical construction tools of geometry?
GEOMETRY
List three cultures that use geometry in their art.
PREALGEBRA
HOW does geometry help us describe real-world objects?