# 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 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

### 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 an Inner 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

### 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 Points in 3D

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

### 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

### 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

### Natural Trigonometric Functions

Sine, Cosine and Tangent - Natural Trigonometric Functions

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 measure - 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 in a Larger Circle

Estimating number of smaller circles that fits in a larger circle - ex. how many pipes or wires fits in a larger pipe or conduit

### 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

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

### Two Equations with Two Unknowns

Online calculator for two equations with two unknowns

Online vector calculator - add vectors with different magnitude and direction

## Search the Engineering ToolBox

- "the most efficient way to navigate!"

## 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/Plugin - 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 Extension Warehouse!

Translate the Engineering ToolBox!