Algebra
Articles by Mouctar
Algebra
Exercise 3_20
Find the solution of: Solution: Let’s square the two sides:We get: Adding similar terms we get: Multiplying both sides by Let’s square both sides another time: Divide by 2: Let’s factor:The equality is true if […]
Algèbre
Introduction aux sections coniques
Introduction aux sections coniques Les sections coniques peuvent être engendrées lorsqu’une ligne oblique tourne autour d’une ligne verticale en l’intersectant. On obtient deux cônes joints à cette intersection et s’étend indéfiniment vers le haut ou vers le […]
Calculus
Integration Techniques, multiple pages
Integration Techniques, multiple pages In this chapter, we are going to take off the gloves and work harder on the techniques used to solve integral problems. We will still remain in the area of the […]
Trigonometry
Navigation and Trigonometry
Navigation and Trigonometry Each point is identified by a pair of coordinates, the intersection of a meridian and a parallel. The Latitude is the parallel. The Equator is the parallel located at . Moving North, […]
Trigonometry
Right Spherical Triangle
Right Spherical Triangle Case of the Right spherical triangle: Right at . If the triangle has more than one interior angle with a value of , it is said to be oblique. The Napier’s Circle: […]
Trigonometry
Spherical trigonometry
Spherical trigonometry The spherical trigonometry is the branch of spherical geometry which deals with spherical triangles defined by great circles on the sphere. It allows us to calculate the trigonometric functions of the sides and […]
Trigonometry
Selected Trigonometry Exercises
Selected Trigonometry Exercises These are the selected trigonometry exercises and problems to solidify the concepts shown in this site. Exercise 1: A surveyor observes that at a point , located on level ground a distance […]
Geometry
Truncated Cone or Frustum Area and Volume
Truncated Cone Area and Volume Truncated Cone Area and Volume A truncated cone is the result of cutting an entire cone by a plane parallel to the base and removing the part containing the apex. […]
Geometry
Quadrilaterals
Quadrilaterals A quadrilateral is a polygon that has four sides. The line segment sides lie within a single plane. Quadrilaterals with non-coplanar sides are called “SKEW”. PARALLELOGRAM: A parallelogram is a quadrilateral in which […]
Geometry
Perimeters, Areas and Volumes in Geometry
Perimeter of a polygon: The perimeter of a Polygon is the sum of the lengths of all sides of the polygon. Perimeter of a triangle: -For a scalene Triangle of sides , and , the […]
Android
Simple Trigo Calculator
The simple Trigo Calculator was designed with the trigonometry functions in mind. The following functions can be calculated in normal mode: sin(x), cos(x), tan(x), sinh(x), cosh(x), tanh(x). In SHIFT mode we get the inverse functions: […]
Java
Number of Occurrences
The following Java Code generates random numbers. Put them in an array and prints the number of times each one occurs in the Array. Only generated numbers will be listed. import java.util.Random;public class Histograms […]
c++
Patterns printing using Loops
The following code is part of the pattern printing series:This one will print a series of patterns #include <iostream>using namespace std;int main(){ for (int i{ 1 }; i <= 5; ++i) { for (int j{ […]
Geometrie analytique
Challenge 1 Spring of 2017: Solution Trapèze par méthode Algébrique
Promotion de la Géometrie élémentaire En accord avec l’ institut-delbol.com, mouctar.org punlie en cette fin Septembre 2018 la solution du problème sur les parcelles. La deuxième partie du défi est ainsi résolue.Aucune réponse sur ce problème […]
Geometrie analytique
Challenge 1 Spring of 2017: Solution Trapèze
Promotion de la Géometrie élémentaire En accord avec l’ institut-delbol.com, mouctar.org punlie en cette fin Septembre 2018 la solution du problème sur les lots. La deuxième partie du défi est ainsi résolue.Aucune réponse sur ce problème […]
Analytic geometry
Challenge 1 Spring of 2017: Trapezoid Solution Algebra
Promoting the study of Geometry Joining forces with institut-delbol.com, mouctar.org is publishing the first challenge. The callenge second part is now solved. No more answers will be accepted. There was no winner for this challenge. The […]
Analytic geometry
Challenge 1 Spring of 2017: Trapezoid Solution
Promoting the study of Geometry Joining forces with institut-delbol.com, mouctar.org is publishing the first challenge. The callenge second part is now solved. No more answers will be accepted. There was no winner for this challenge.