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Browse High School NonEuclidean Geometry
Stars indicate particularly interesting answers or
good places to begin browsing.
 Introduction to Hyperbolic and Spherical Geometry [06/01/2004]

Why is the sum of the angles in a triangle less than 180 degrees in
hyperbolic geometry?
 NonEuclidean Geometry for 9th Graders [12/23/1994]

I would to know if there is noneuclidean geometry that would be
appropriate in difficulty for ninth graders to study.
 Curvature of NonEuclidean Space [05/22/2000]

What is the difference between positive and negative curvature in non
Euclidean geometry?
 Definitions of Edge and Face in 2D and 3D [10/10/2008]

What is the 'official' definition of 'edge'? Specifically, is an edge
restricted to the intersection of two noncoplanar faces or do two
dimensional shapes have edges? I'm also curious about a definition of
'face'. How many faces does a twodimensional shape have?
 Difference Between arsinh and arcsinh Functions [05/13/2004]

Why isn't there a "c" in arsinh, arcosh, and artanh? These are the equivalents of arcsin, arccos and arctan but they are hyperbolic.
 Distance Between Points on the Earth [12/11/1997]

The problem is to solve for the distance between two latitude/ longitude
points with no parallels, say 24N 70E and 65N and 30W.
 Distance Calculation [6/8/1996]

If I have the coordinates of two places in Degrees Latitude and
Longitude, how do I calculate the distance in nautical miles?
 Drawing Triangles [06/18/1997]

Is it possible to draw a triangle with more than 180 degrees?
 Euclidean and Riemann Geometry [12/29/2003]

Riemann geometry alters the fifth axiom of Euclidean geometry that
parallel lines never meet, saying instead that any two lines must
intersect. How did he come up with this and how does it work?
 Euclidean/NonEuclidean Geometry [02/21/2003]

Consider the following geometry called S...
 Euclid's Fifth Postulate [6/24/1996]

I am interested in finding some theorems, axioms, or postulates similar
to Euclid's Fifth Postulate.
 Euler's Formula Applied to a Torus [06/08/2001]

Can you explain why Euler's characteristic is zero for a torus?
 Geometry vs. Trigonometry [07/14/1997]

What is the difference between trigonometry and geometry?
 Hyperbolic Geometry and the Euclidean Parallel Postulate [01/20/1999]

When is it true that, given a line L and a point P, there is an infinite
number of lines passing through P parallel to L?
 Is Infinity a Number ... in Inversive Geometry? [01/15/2010]

A reader attempts to demonstrate infinity as concretely measurable in
an inversive geometric construction. Doctor Tom explains analyzes the
argument, weighing the pros and cons of the axioms of nonEuclidean
geometries, and going on to expose an apparent paradox.
 Is Pi a Constant in NonEuclidean Geometry? [06/26/1998]

What if the circle is stretched across a curved surface?
 Monogons and Digons  Polygons with Fewer Than 3 Sides [01/24/2006]

What do monogon and digon polygons look like? How can you have a
polygon with fewer than three sides?
 NonEuclidean Geometry [10/22/2001]

What is nonEuclidean geometry? What two concepts are different from
Euclidean geometry?
 Parallel Lines: Euclidean and NonEuclidean Geometry [4/25/1996]

If two lines are parallel, can they intersect?
 Parallel Lines in Projective Space [05/18/1998]

Do parallel lines intersect at infinity? Is this in projective space?
 Projective Geometry [01/13/1997]

When seen from a semibird's eye view, a fractal terrain looks like a
regular trapezoid. When rotated right or left, the four corners seem to
move along an ellipse. Find the equation of the ellipse whose center is
also that of the trapezoid.
 Resource for Euclidean and NonEuclidean Geometries [9/30/1995]

For my high school project, I would like to get some information on NonEuclidean geometry.
 Riemann, Mayan Math [5/20/1996]

Math projects: A. Riemann  a German mathmatician; B. The Mayan number
system and calendar; C. Probability.
 The Role of Postulates [03/29/2003]

Who decided what were postulates and what were theorems? Why is it
okay that postulates aren't proven?
 Spherical Geometry and Triangles [02/09/2004]

Is it possible to have a triangle with two 90 degree angles, where the
other two legs from the connected 90 degree angles meet to finish the
triangle? Where would you find such a triangle? I thought it might
work if the triangle is on a sphere, but then the lines aren't straight.
 Spherical vs. Plane Geometry [05/30/1997]

How is spherical geometry different from plane geometry?
 Sum of Angles of a Triangle in NonEuclidean Geometry [08/01/2001]

In a triangle on the surface of a sphere the sum of the angles is not 180
degrees. Is that possible? Why?
 Taxicab Geometry [1/11/1996]

I am looking for information online and/or in a college library about
taxicab geometry.
 A Triangle with Three Right Angles [12/01/1999]

How can you make a triangle with three right angles?
 Understanding NonEuclidean Geometry [05/26/1998]

Can you explain about geometries that are not on the plane? For example,
what is a straight line on any surface?
 Use of Steradians [7/26/1996]

How are steradians used in real life?
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