Main Street ACADEMY LESSON PLAN 2011-2012
... 3.6/3.7 – Parallel and Perpendicular lines in the Coordinate Plane ** In Sections 3.6 and 3.7, we are previewing for problems in the quadrilateral unit that give four points and ask which type quadrilateral best represents. Therefore, we need to stress finding slope given two points, NOT writing equ ...
... 3.6/3.7 – Parallel and Perpendicular lines in the Coordinate Plane ** In Sections 3.6 and 3.7, we are previewing for problems in the quadrilateral unit that give four points and ask which type quadrilateral best represents. Therefore, we need to stress finding slope given two points, NOT writing equ ...
Unit 2: Parallel and Perpendicular Lines Rank Yourself
... Use the triangle angle sum theorem to find missing values Write proofs to prove information about angles or that lines are parallel I have mastered the Entry level and I can identify and know the relationship (thm/post) between alternate interior angles, alternate exterior angles, corresponding ...
... Use the triangle angle sum theorem to find missing values Write proofs to prove information about angles or that lines are parallel I have mastered the Entry level and I can identify and know the relationship (thm/post) between alternate interior angles, alternate exterior angles, corresponding ...
On the equivalence of Alexandrov curvature and
... It is well known that the curvature bounded above (resp. below) in the sense of Alexandrov is stronger than the curvature bounded above (resp. below) in the sense of Busemann (see, e.g., [7, p. 107] or [9, p. 57]). The classical example that shows that the converse statement does not hold is the fin ...
... It is well known that the curvature bounded above (resp. below) in the sense of Alexandrov is stronger than the curvature bounded above (resp. below) in the sense of Busemann (see, e.g., [7, p. 107] or [9, p. 57]). The classical example that shows that the converse statement does not hold is the fin ...
Geometry Proofs
... Definition: Two lines are parallel if and only if they do not intersect. Theorem: If two distinct lines intersect, then they intersect in exactly one point. Postulate (Ruler): There is a one to one correspondence between real numbers and points on a line. Postulate (Protractor): Given line AB and th ...
... Definition: Two lines are parallel if and only if they do not intersect. Theorem: If two distinct lines intersect, then they intersect in exactly one point. Postulate (Ruler): There is a one to one correspondence between real numbers and points on a line. Postulate (Protractor): Given line AB and th ...
Trigonometry - Nayland Maths
... Regular polyhedron A polyhedron with all faces and angles congruent. Rhombus A quadrilateral with four congruent sides. Right angle An angle with size 90�. Right-angled triangle A triangle that has one right angle. Right prism A prism all of whose side faces are rectangles. Right pyramid A pyramid ...
... Regular polyhedron A polyhedron with all faces and angles congruent. Rhombus A quadrilateral with four congruent sides. Right angle An angle with size 90�. Right-angled triangle A triangle that has one right angle. Right prism A prism all of whose side faces are rectangles. Right pyramid A pyramid ...
Riemannian connection on a surface
For the classical approach to the geometry of surfaces, see Differential geometry of surfaces.In mathematics, the Riemannian connection on a surface or Riemannian 2-manifold refers to several intrinsic geometric structures discovered by Tullio Levi-Civita, Élie Cartan and Hermann Weyl in the early part of the twentieth century: parallel transport, covariant derivative and connection form . These concepts were put in their final form using the language of principal bundles only in the 1950s. The classical nineteenth century approach to the differential geometry of surfaces, due in large part to Carl Friedrich Gauss, has been reworked in this modern framework, which provides the natural setting for the classical theory of the moving frame as well as the Riemannian geometry of higher-dimensional Riemannian manifolds. This account is intended as an introduction to the theory of connections.