Geometry/construction

- given a daimeter AB of a circle and a point P as shown in figure construct with straight edge alone a perpendicular from P to AB

Geometry/construction

- A farmer wishes to erect a striaght fence that will bisect the angle formed by two existing (straight) fences. unfortunetly the vertex of the angle is in the middle of a lake. how can we locate the fence line using straight edge and compass. see figure in attached file.

Create ways to teach surface area and volume to students

Creating ways to teach surface area and volume. I am especially interested in methods which will help students connect geometry to life in the real world.

Discussion question

Brainstorming crative ways to teach surface area and volume. the teachers are especially interested in methods which will help teh students connect geometry to life in the real world because student motivation has sometimes been lacking in this course.

Differentiable geometry (tangent bundle, orientations)

Prove that the tangent bundle TM of a differentiable manifold M is (always) orientable (even though M may not be)

Differential Geometry (projective space, orientations)

Prove that the real projective space P^n(R) is orientable if and only if n is odd. Please if you are not sure about your proof, don't sign out my problem.

Geometry/construction

Construct triangle ABC given just 3 points ,namely S= its circumcenter, H = its orthocenter and F = the foot of one of its alititudes.

Geometry

How many distinct points does the 9-point circle have when the triangle is - isosceles - equlateral - right-angled isosceles.

Geometry Applications

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

Geometry

(See attached file for full problem description with proper symbols) The area A of an equilateral triangle varies directly as the square of the length of a side. If the area if the equilateral triangle whose sides are of length 1 cm is (  3 ) / 4 cm 2 , find the length s of an equilateral triangle whose area A is ...continues