Lesson 11 - EngageNY
... In this last lesson on unknown angle proofs, students use their proof-writing skills to examine facts already familiar to them (i.e., the sum of angles of a triangle is 180°, and vertical angles are equal in measure). This offers students a why and a how to this body of information. Proving known fa ...
... In this last lesson on unknown angle proofs, students use their proof-writing skills to examine facts already familiar to them (i.e., the sum of angles of a triangle is 180°, and vertical angles are equal in measure). This offers students a why and a how to this body of information. Proving known fa ...
INTRODUCTION TO DERIVATIVES
... (5) The k th derivative of a polynomial of degree n is a polynomial of degree n − k, if k ≤ n, and is zero if k > n. (6) We can often use the sum rule, product rule, etc. to find the values of derivatives of functions constructed from other functions simply using the values of the functions and thei ...
... (5) The k th derivative of a polynomial of degree n is a polynomial of degree n − k, if k ≤ n, and is zero if k > n. (6) We can often use the sum rule, product rule, etc. to find the values of derivatives of functions constructed from other functions simply using the values of the functions and thei ...
Some trigonometry
... Today we want to approach trigonometry in the same way we’ve approached geometry so far this quarter: we’re relatively familiar with the subject, but we want to write down just a few definitions and then rigorously derive some of the other characterizations (identities) with which we’re familiar. De ...
... Today we want to approach trigonometry in the same way we’ve approached geometry so far this quarter: we’re relatively familiar with the subject, but we want to write down just a few definitions and then rigorously derive some of the other characterizations (identities) with which we’re familiar. De ...
Chapters 6 and 7 Notes: Circles, Locus and Concurrence
... 6.1.5 In a circle or in congruent circles, congruent chords have congruent minor (major) arcs. 6.1.6 In a circle or in congruent circles, congruent arcs have congruent chords. 6.1.7 Chords that are at the same distance from the center of a circle are congruent. 6.1.8 Congruent chords are located at ...
... 6.1.5 In a circle or in congruent circles, congruent chords have congruent minor (major) arcs. 6.1.6 In a circle or in congruent circles, congruent arcs have congruent chords. 6.1.7 Chords that are at the same distance from the center of a circle are congruent. 6.1.8 Congruent chords are located at ...
Pacing
... measures or the largest angle given the lengths of three sides of a triangle G.G.42 Investigate, justify and apply theorems about geometric relationships, based on the properties of the line segment joining the midpoints of two sides of the triangle G.G.43 Investigate, justify and apply therems abou ...
... measures or the largest angle given the lengths of three sides of a triangle G.G.42 Investigate, justify and apply theorems about geometric relationships, based on the properties of the line segment joining the midpoints of two sides of the triangle G.G.43 Investigate, justify and apply therems abou ...
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.