Elementary geometry

List of formulas in elementary geometry

This is a short list of some common mathematical shapes and figures and the formulas that describe them. (Wikipedia).

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Computing the Sums of Finite Series with Formulas

Computing the Sums of Finite Series with Formulas. Several examples where we use formulas to compute the sums. Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The formulas are as follows, with all sums starting at i = 1. sum(c) = nc sum(i) = n(n + 1)/2 sum(i^2) = n(n + 1)(2n +

From playlist Precalculus and Algebra

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How To Work With Formulas (4 Keys Things To Know)

How to work with formulas involves many key areas to include: evaluating, units of measure, order of operations and solving for other variables in the formula. Any person that uses math formulas, physics formulas, chemistry formulas or other formulas needs to watch this video.

From playlist Algebra

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Definitions, specification and interpretation | Arithmetic and Geometry Math Foundations 44

We discuss important meta-issues regarding definitions and specification in mathematics. We also introduce the idea that mathematical definitions, expressions, formulas or theorems may support a variety of possible interpretations. Examples use our previous definitions from elementary ge

From playlist Math Foundations

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Geometry - Basic Terminology (1 of 34) Definition of Points and Lines

Visit http://ilectureonline.com for more math and science lectures! In this video I will define and give examples of points and lines. Next video in the Basic Terminology series can be seen at: http://youtu.be/kziFbJMWjUY

From playlist GEOMETRY 1 - BASIC TERMINOLOGY

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Equations & Formulas

More resources available at www.misterwootube.com

From playlist Basic Equations

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Algebra Review 13.1 - Formulas

Algebra Review Lesson 13, Part 1

From playlist Lesson 13 - Formulas

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Prove that there is a prime number between n and n!

A simple number theory proof problem regarding prime number distribution: Prove that there is a prime number between n and n! Please Like, Share and Subscribe!

From playlist Elementary Number Theory

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Puzzles using arithmetic | Elementary Mathematics (K-6) Explained 24 | N J Wildberger

Here we spice up our lay out of elementary arithmetic by throwing in some pleasant problems that young people can think about. These will involve, and improve, their arithmetic skills. Some of the problems involve powers of two, so they help prepare students for binary arithmetic later on

From playlist Elementary Mathematics (K-6) Explained

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Excel 2013: Complex Formulas

In this video, you’ll learn more about creating complex formulas in Excel 2013. Visit https://www.gcflearnfree.org/excel2013/complex-formulas/1/ for our text-based lesson. This video includes information on: • Creating complex formulas • Creating complex formulas using the order of operat

From playlist Microsoft Excel 2013

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The Triple quad formula in Universal Hyperbolic Geometry | Universal Hyperbolic Geometry 23

The Triple quad formula is the second most important theorem in hyperbolic geometry (just as it is in Euclidean geometry!) It gives the relation between the three quadrances formed by three collinear points. It is a quite challenging theorem to prove: relying on a remarkable polynomial ide

From playlist Universal Hyperbolic Geometry

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Quadrance, perpendicularity and pedal curves | Algebraic Calculus One | Wild Egg

We want to introduce metrical structure into our affine setting, allowing us to access Euclidean geometry and physical applications. To do this logically and carefully, with precise definitions, we want to take the view point of Rational Trigonometry: with quadrance and perpendicularity pl

From playlist Algebraic Calculus One from Wild Egg

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Trigonometric dual laws and the Parallax formula | Universal Hyperbolic Geometry 32 | NJ Wildberger

This video introduces a simple universal analog (called the Right parallax formula) to the Angle of parallelism formula found by N. Lobachevsky and J. Bolyai in classical hyperbolic geometry. First we establish the dual laws of the main trigonometric laws for Universal Hyperbolic Geometry

From playlist Universal Hyperbolic Geometry

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First steps in hyperbolic geometry | Universal Hyperbolic Geometry 4 | NJ Wildberger

This video outlines the basic framework of universal hyperbolic geometry---as the projective study of a circle, or later on the projective study of relativistic geometry. Perpendicularity is defined in terms of duality, the pole-polar correspondence introduced by Apollonius, and we explain

From playlist Universal Hyperbolic Geometry

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Seminar: Some Fundamental Formulas from Metrical Algebraic Geometry

A seminar presented to the School of Mathematics and Statistics, UNSW on June 9, 2015 by N J Wildberger. This talk discusses rather elementary but surprisingly powerful formulas which lie at the base of metrical algebraic geometry. They are presented here in the affine setting, although pr

From playlist MathSeminars

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Rational trigonometry: an overview | Universal Hyperbolic Geometry 39 | NJ Wildberger

This important video introduces Rational Trigonometry from first principles using a vector approach. The main notions of quadrance and spread replace distance and angle, and are introduced purely algebraically. The scalar/inner/dot product plays an important role, and allows us to introduc

From playlist Universal Hyperbolic Geometry

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Advice to Amateur Research Mathematicians: Poly Number theory-- future directions for greater import

Number theory is a very attractive subject, but in this video we argue that for prospective amateur researchers, the chance of making an important contribution is minimal. Better to focus on a much bigger and more wide open area: Poly Number theory! Polynumbers, developed in the Algebrai

From playlist Maxel inverses and orthogonal polynomials (non-Members)

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The Triple spread formula, circumcircles and curvature | Rational Geometry Math Foundations 146

This video looks at the projective Triple quad formula, also known as the Triple spread formula in Rational Trigonometry, and how it relates to curvature. A triangle in the plane has a unique circle through the three points, called the circumcircle of that triangle, and a fundamental quest

From playlist Math Foundations

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Advice for prospective research mathematicians | Rational Trigonometry and spread polynomials 1

Here is a quick introduction / review of the essentials of Rational Trigonometry, with an aim to explaining the important spread polynomials / polynumbers which are more pleasant variants of the Chebyshev polynomials of the first kind. Our treatment here is quite concise, relying on a pri

From playlist Maxel inverses and orthogonal polynomials (non-Members)

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Ex 1: Find the Formula for a Sequence Given Terms (Arithmetic and Geometric)

This video explains how to find the formula of a arithmetic and geometric sequence given several terms in the sequence. Site: http://mathispower4u.com

From playlist Sequences

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The Spread law in Universal Hyperbolic Geometry | Universal Hyperbolic Geometry 27 | NJ Wildberger

The spread between two lines in hyperbolic geometry is exactly dual to the notion of the quadrance between two points. The Spread law is the third of the four main laws of trigonometry in universal hyperbolic geometry. Its proof also relies on a remarkable polynomial identity, just as did

From playlist Universal Hyperbolic Geometry

Related pages

Great circle | Rectangle | Parallelogram | Area | Prism (geometry) | Square | Ellipse | Surface area | Cube | Sphere | Trapezoid | Triangle | Volume | N-sphere | Circle