Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

# Mathematics

## Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more

### Algebraic Expressions and Formulas

Principal algebraic expressions and formulas

### Angle Calculator and Carpenter's Square

Calculate angles with a straight board across a carpenter's square

### Angle Converter

Convert between angle units

### Area of Intersecting Circles

Calculate area of intersecting circles

### Area Survey App

Online calculator app to make an exact plot of a surveyed area - like a room, a property or any 2D shape

### ASCII Codes

ASCII codes and characters

### Binary Adding, Subtraction, Multiplicaton and Division

Adding, subtracting, multiplying and dividing binary numbers

### Binary to Decimal, Hexadecimal and ASCII Converter

Convert between binary, decimal and hexadecimal numbers

### Binary, Octal and Hexadecimal Numbers

Decimal, binary, octal and hexadecimal numbers

### Binomial Theorem

Binomial theorem for positive integers

### Boolean Algebra

Summary of primitive logic functions

### Center of Gravity

Bodies and their center of gravity

### Centroids of Plane Areas

Square, rectangle, cirle. semi-circle and right-angled triangle

### Chord Lengths when Dividing a Circle in Equal Segments

Calculate chord lengths when dividing the circumference of a circle into equal number of segments

### Circle - Equation

The equation for a circle

### Circles and Squares - Equal Areas

Radius and side lengths of equal areas, circles and squares

### Circles on the Outside of a Circle

The numbers of circles on the outside of an inner circle or the geometry of rollers on a shaft

### Circles within a Rectangle

The maximum number of circles possible within a rectangle - ex. numbers of pipes or wires in a conduit

### Complex Numbers

Complex numbers are used in alternating current theory and in mechanical vector analysis

### Content of Horizontal - or Sloped - Cylindrical Tank and Pipe

Volume of partly filled horizontal or sloped cylindrical tanks and pipes - an online calculator

### Convert between Polar and Cartesian Coordinates

Cartesian and Polar coordinate converting

### Data Types

Signed and unsigned datatypes

### Decimal System Prefixes

Prefix names of multiples and submultiples of units

### Differential Calculus

Derivatives and differentiation

### Discrete Data Sets - Mean, Median and Mode Values

Calculate arithmetic mean, median and modal values from discrete data sets

### Distance between Two 3D Points

Distance between two points in a three dimension coordinate system - online calculator

### Elementary Curves

Ellipse, circle, hyperbola, parabola, parallel and intersecting and coincident lines

### Elementary Surfaces

Ellipsoid, sphere, hyperboloid, cone and more

### Exponents - Powers and Roots

Fractional and integer exponents laws

### Factorials

The product of all positive integers

Law of fractions

### Geometric Shapes - Areas

Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids ..

### Hexagons and Squares - Diagonal Lengths

Distance between corners for hexagons and squares

### Hyperbolic Functions

Exponential functions related to the hyperbola

### Inches - Fractions and Decimal Equivalents

Inches - fractional and decimal equivalents

### Law of Cosines

One side of a triangle when opposite angle and two sides are known

### Law of Sines

Angles in a generic triangle

### Law of Tangents

Triangles and law of tangents

### Laws of Indices

Simplifying calculations by involving indices

### Logarithms

Rules of logarithms - log10 and loge for numbers ranging 1 to 1000

### Minutes to Degrees - Converting Chart

Convert from minutes to degrees

Writing numbers

### Oblique Triangle

Oblique triangle equations

### Optical Distance Law

Distance and geometric dilution of light

### Percentage

Working with percentages - parts of a whole

### Pipe Fractional Equivalents

Comparing pipe fractions and decimal inches

### Prime Numbers

Numbers up to 1000

### Pythagorean Theorem

The pythagorean theorem used for squaring

The radian - unit of angle - and angular velocity

### Ratios and Proportions

Relative values between quantities - ratios and proportions

### Regular Polygons

Area of regular polygons

### Right Angeled Triangle

Right angeled triangle equations

### Scientific Calculator

Online scientific calculator

### Smaller Circles within a Larger Circle

Estimate the number of small circles that fits into an outer larger circle - ex. how many pipes or wires fits in a larger pipe or conduit

### Smaller Rectangles within a Large Rectangle

The maximum number of smaller rectangles - or squares - within a larger rectangle (or square)

### Solids - Volumes and Surfaces

Volume and surface of solids like rectangular prism, cylinder, pyramid, cone and sphere - online calculator

### Square, Cube, Square Root and Cubic Root

Calculator and tabulated values for numbers ranging from 1 to 100

### Squares, Cubes and Roots

Numbers - squares, cubes, square roots and cube roots

### Squaring with Diagonal Measurements

A rectangle is square if the length of both diagonals are equal

### Standard Differentials and Integrals

Differentials and integrals

### Taylor Series

Function as an infinite sum of terms

### Triangle

Triangle analytical geometry

### Trigonometric Functions

Sine, Cosine and Tangent - Natural Trigonometric Functions

### Two Equations with Two Unknowns

Online calculator for two equations with two unknowns

Online vector calculator - add vectors with different magnitude and direction - like forces, velocities and more

## Engineering ToolBox - SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro .Add the Engineering ToolBox extension to your SketchUp from the SketchUp Pro Sketchup Extension Warehouse!

## Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

## Citation

• Engineering ToolBox, (2009). Mathematics. [online] Available at: https://www.engineeringtoolbox.com/mathematics-t_54.html [Accessed Day Mo. Year].

Modify access date.

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