Euclidean and noneuclidean geometry

Euclidean and noneuclidean geometry. See attached file for full problem description.

Draw a diagram of a Saccheri quadrilateral with certain properties, perform certain constructions on that diagram, and show that two specified quadrilaterals in the resulting diagram are Lambert quadrilaterals.

Draw a diagram of a Saccheri quadrilateral ABDC, where (a) A and B are a pair of consecutive vertices (b) sides AD and BC are a pair of opposite sides (c) angles A and B are right angles (d) sides AD and BC are congruent. Then let M be the midpoint of AB, and drop a perpendicular from M to CD with foot N. Once ...continues

Euclidean and non-euclidean geometry

Euclidean and non-euclidean geometry. See attached file for full problem description.

Pythagorean Theorem

Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of ...continues

Students Using Geometry in Real Life

You are part of a panel of parents, teachers, and administrators working to revise the geometry curriculum for the local high school. On tonight's agenda, you will be brainstorming creative ways to teach surface area and volume. The teachers are especially interested in methods which will help the students connect geometry to li ...continues

Fitting an ellipse rotated and not centered at the origin using least squares

Can the method shown at: http://mysite.verizon.net/~vze2vrva/ellipse_fitting.html be adapted for an an ellipse rotated and not centered at the origin? Please explain.

Explain Ellipse Fitting Solution

The first topic concerns a solution for ellipse fitting [Attachment: FittingEllipse.pdf Michael J. Aramini, Ellipse Fitting, http://mysite.verizon.net/~vze2vrva/ellipse_fitting.html, May 2007]. 1. The expression being minimized (left hand side looks like chi-square): A. Is it chi-square? B. If it is chi-square, what i ...continues

Geometry/Pythagorean theorem

There grows in the middle of a circular pond 10 feet in diameter a reed which projects 1 foot out of the water. When it is drawn down it just reaches the edge of the pond. How deep is the water?

Eight Geometry problems

1. ABC and CBD are complementary and the measure of CBD is twice of the measure of ABC. ABD and DBE are supplementary angles. a) Draw a sketch illustrating ABC, CBD, and DBE b) Determine the measure of ABC c) Determine the measure of DBE ...continues

9 geometry problems

1. Angles ABC and CBD are complementary and the measure of CBD is twice of the measure of ABC. Angles ABD and DBE are supplementary angles. a) Draw a sketch illustrating these angles. b) Determine the measure of ABC. c) Determine the measure of DBE. 2. Form the converse of each of the following statements. State whether ...continues