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

Converting between units of angle.

### Area of Intersecting Circles

Calculate area of intersecting circles

### Area Survey App

Online app making 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 to 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 units multiples and submultiples.

### 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

The laws of fractional and integer exponents.

### Factorials

The product of all positive integers

Law of fractions

### Fractions and Decimal Inches Equivalents

The inches fractional and decimal equivalents.

### 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

### 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

### Length of Spiral

Calculate the length of a spiral or the length of material contained in a roll

### Logarithms

The rules of logarithms - log10 and loge for numbers ranging 1 to 1000.

### Minutes to Degrees Converting Chart

Convert from minutes to degrees

### Numbers - Square, Cube, Square Root and Cubic Root Calculator

Calculate square, cube, square root and cubic root. Values tabulated for numbers ranging 1 to 100.

Writing numbers

### Oblique Triangle

Oblique triangle equations

### Optical Distance Law

Geometric dilution of light vs. distance.

### Percentage

Working with relative values.

### Pipe Fractional Equivalents

Comparing pipe fractions and decimal inches

### Prime Numbers

Numbers up to 1000

### Pythagorean Theorem

The pythagorean theorem used for squaring

Radian is the SI unit of angle. Convert between degrees and radians. Calculate angular velocity.

### Ratios and Proportions

The relative values between quantities - ratios and proportions.

### Regular Polygons

Area of regular polygons

### Right Angled Triangle

Right angled 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 Larger Rectangle

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

### Solids - Volumes and Surfaces

The volume and surface of solids like rectangular prism, cylinders, pyramids, cones and spheres - online calculator.

### 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

An 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!

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## Citation

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

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#### Scientific Online Calculator 10 15