Shape Shape

Comprehensive Guide to Geometry Formulas for Shapes and Solids

Shape
Shape
Shape Shape

Triangle

Right Triangle

Square

Rectangle

Parallelogram

Lozenge

Trapezoid

Convex Quadrilateral

Circle

Segment of Circle

Sector of Circle

Regular Poligon of N Sides

Hexagon

Sphere

Sperical Cap

Sperical Segment

Sperical Sector

Torus

Cylinder

Cone

Frustum of Right Circular Cone

Pyramid

Cuboid

Triangular Prism

Polynomial

Fractions

Identity

Exponentiation

Roots

Arithmetic Progression

Geometric Progression

Summations

Logarithm

Decimal Logarithm

Natural Logarithm

Complex Plane

Euler's Formula

Trigonometric Functions For A Right Triangle

Trigonometric Table

Co-Ratios

Basic Formulas

Multiple Angle Formulas

Powers Of Trigonometric Functions

Formulas With T=tan(x/2)

Addition Formulas

Sum Of Trigonometric Functions

Product Of Trigonometric Functions

Half Angle Formulas

Angles Of A Plane Triangle

Sides And Angles Of A Plane Triangle

Relationships Among Trigonometric Fuctions

Linear Equation

System of Two Linear Equation

Quadratic Equation

Exponential Equation

Logarithmic Equation

Trigonometric Equation Cos

Trigonometric Equation Sin

Trigonometric Equation Tan

Trigonometric Equation Cotan

Linear Inequation

Quadratic Inequation

Exponential Inequation

Logarithmic Inequation

Trigonometric Inequation Cos

Trigonometric Inequation Sin

Trigonometric Inequation Tan

Trigonometric Inequation Cotan

Constant

Absolute

Square Root

Parabolic

Cubic

Reciprocal

Sec

Cosec

Horizontal Shifting

Vertical Shifting

Reflection

streching

Points

A Triangle

Equation of Line

Equation of Circle

Ellipse

Hyperbola

Parabola

Line

Equation of Line Joining Two Points A,B

Plane

Equation of Sphere Center at M and Radius R in Rectangular Coordinates

Equation of Ellipsoid With Center M and Semi-Axes A,B,C

Elliptic Cylinder With Axis as Z Axis

Elliptic Cone With Axis as Z Axis

Hyperboloid of One Sheets

Hyperboloid of Two Sheets

Elliptic Paraboloid

Hyperbolic Paraboloid

Limit

Derivative

Differentiation

Indefinite Integrals

Integrals By Partial Functions

Integrals Involving Roots

Integrals Involving Trigonometric Functions

Transformations

Definite Integrals

Transpose Matrix

Addition And Substraction Of Matrices

Multiplication Of Matrices

Determinant Of Matrices

Inverse Of Matrix

Equation In Matrix Form

Properties Of Matrix Calculations

Set

Subset

Intersection

Union

Relative Complement of A in B

Absolute Complement

Symmetric Difference

Operations On Sets

Combinations

Permutations

Probability

Mean

Median

Mode

Example

Geometric Mean

Harmonic Mean

Variance

Standard Deviation

Root Mean Square

Normal Distribution(gaussion Distribution)

Exponential Distribution

Poisson Distribution

Uniforn Distribution

Real Form Of Fourier Series

Complex Form

Parseval's Theorem

Fourier Transform

Convolutions

Correlation

Fourier Symmetry Relationships

Fourier Transform Pairs

Definition

Convolution

Inverse

Derivative

Substitution(Frequency Shifting)

Translation(Time Shifting)

Laplace Transform Pairs

The Ultimate Geometry Formulas Guide: 2D Shapes & 3D Solids Made Easy

Algebra is a core branch of mathematics that forms the foundation for solving equations, understanding patterns, and analyzing relationships between numbers. Whether you’re tackling basic equations or diving into advanced topics like logarithms and the complex plane, having a reliable guide to algebra formulas is essential. This page brings you a comprehensive collection of formulas to help you solve problems efficiently and confidently.

What You'll Learn in This Algebra Formulas Guide

Fundamental Algebraic Formulas
  • Polynomials: Master the structure and simplification of polynomial expressions.
  • Fractions: Simplify, add, subtract, and manipulate algebraic fractions with ease.
  • Identities: Key algebraic identities for faster problem-solving.
  • Exponentiation and Roots: Solve equations involving powers and roots effectively.
Sequences and Progressions:
  • Arithmetic Progression: Formulas for nth terms and summations in linear sequences.
  • Geometric Progression: Understand exponential growth with nth terms and sums.
Logarithms
  • Logarithm Basics: The essential formulas for base conversions and properties.
  • Decimal Logarithm: Calculations using base 10 for real-world applications.
  • Natural Logarithm: Simplify equations with e-based logarithms for advanced mathematics.
Advanced Topics in Algebra
  • Complex Plane: Visualize complex numbers with real and imaginary components.
  • Euler's Formula: Explore the elegant relationship between exponentials and trigonometry.
  • Summations: Learn formulas for summing series efficiently.
Why Choose This Algebra Formulas Guide?
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Simplify Algebra, One Formula at a Time

Bookmark this page for all your algebra formula needs. Whether you’re a student preparing for exams or a professional solving real-world problems, this guide will make algebra easier and more approachable.

Geometry Formulae

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