# All articles (215)

### A

- A Level and beyond
- About
- Adjacency matrices
- Advanced trigonometry
- Angle at the centre of a circle is twice the angle at the circumference
- Angle in a semicircle is 90 degrees
- Angles in the same segment of a circle are equal
- Area and circumference of circles
- Area and perimeter
- Area and perimeter of quadrilaterals
- Area and perimeter of triangles
- Argand diagrams
- arcosh function
- arsinh function
- artanh function

### B

- Bayes' theorem
- Bifurcation and chaos
- Binary addition, subtraction and negative numbers
- Binary numbers
- Binary numbers
- Boolean algebra

### C

- Calculating a Maclaurin series
- Cantor set
- Cartesian equation of a parabola
- Cartesian equation of a rectangular hyperbola
- Cartesian equation of ellipse
- Cartesian product
- Circle geometry
- Coin rotation paradox
- Collage theorem
- Combinations
- Combining logic gates
- Complex number arithmetic
- Complex numbers
- Complex polynomials
- Complex powers and roots of complex numbers
- Computer science
- Congruent and similar shapes
- Congruent shapes
- Congruent triangles
- Coordinate systems
- Cosine rule
- Countable and uncountable sets
- Creating an adder with logic gates
- Cube
- Cube surface area and net
- cosech function
- cosh function
- coth function

### D

- D-type flip-flops
- Decagons - polygons with 10 sides
- Derivative of sine, geometric proof
- Derivative of the exponential function
- Determinants
- Differentiation
- Differentiation - L'Hôpital's rule
- Differentiation - the chain rule
- Differentiation - the product rule
- Differentiation - the quotient rule
- Differentiation from first principles - a to the power x
- Differentiation from first principles - x²
- Dijkstra's algorithm
- Dodecagons - polygons with 12 sides
- Drawing Sierpinski triangles
- Drunk man and keys problem

### E

- Einstein's proof of Pythagoras' theorem
- Ellipses
- Error page not found
- Escape-time fractals
- Euler's formula - proof
- Exponential and logarithm functions

### F

### G

- GCSE
- GCSE graphs
- GCSE measures
- Gabriel's horn
- Geometry
- Geometry basic rules
- Gradient of a line
- Graph theory
- GraphicMaths
- Graphs
- Graphs of exponential functions
- Graphs of sloping lines through the origin
- Greatest common divisor (GCD) of two numbers

### H

- Hendecagons - polygons with 11 sides
- Heptagons - polygons with 7 sides
- Hexagons - polygons with 6 sides
- Horizontal, vertical and diagonal straight line graphs
- Hyperbolas
- Hyperbolic angle
- Hyperbolic functions

### I

- Imaginary and complex numbers
- Integration
- Integration by substitution
- Interior and exterior angles of a polygon
- i to the power i

### K

### L

- L system Koch curve
- L system trees and ferns
- L systems
- Lexicographic order
- Line symmetry
- Loci
- Locus of points a fixed distance from a given line
- Locus of points a fixed distance from a given point
- Locus of points an equal distance between 2 lines
- Locus of points an equal distance between 2 points
- Logic
- Logic gates
- Lowest common multiple (LCM) of two numbers

### M

- Maclaurin and Taylor series
- Maclaurin series of the exponential function
- Maclaurin series of the sine function
- Mathematical models in mechanics
- Matrices
- Matrix inverse
- Mean value theorem for integrals
- Mechanics
- Modulus-argument form of complex numbers
- Monty Hall problem
- More quadrilaterals

### N

- Negative and fractional exponents
- Newton Fractal
- Nonagons - polygons with 9 sides
- Number theory
- Numerical methods
- n-gons - polygons with any number of sides

### O

- Octagons - polygons with 8 sides
- Opposite angles in a cyclic quadrilateral add up to 180°
- Other types of polygon

### P

- Painter's paradox
- Parabola example
- Parabola focus and directrix
- Parabolas
- Parabolas - effect of parameter 'a'
- Paradoxes
- Parallel lines
- Parametric equation of ellipse
- Parametric equations
- Parts of a circle
- Pentagons - polygons with 5 sides
- Permutations
- Permutations and combinations
- Perpendicular bisector of a chord
- Pi isn't about circles
- Pigeonhole principle
- Polar coordinates
- Polar curve constant r
- Polar curve constant theta
- Polar curve r proportional to theta
- Polygons
- Potato paradox
- Prime factors of a number
- Probability
- Pure mathematics
- Pythagoras
- Pythagoras' theorem
- Pythagoras' theorem proof
- Pythagorean triples

### Q

### R

- Radians
- Raven paradox
- Recreational maths
- Rectangular hyperbola example
- Regular polygons
- Regular tessellations
- Resources
- Rotational symmetry
- Rules of exponents

### S

- Second derivative and sketching curves
- Semiprocal numbers - z to the power i
- Set theory
- Similar shapes
- Similar triangles
- Similar triangles proof
- Simple flip-flops
- Sine rule
- Slope of a curve
- Solving equations numerically
- Solving equations using interval bisection
- Solving equations using linear interpolation
- Solving equations using the Newton-Raphson method
- Standard curves in polar coordinates
- Star polygons
- Statistics
- Straight line graphs
- sech function
- sinh function

### T

- Tangent and radius of a circle meet at 90°
- Tessellations and symmetry
- The seven bridges of Königsberg
- Transformations
- Translation
- Travelling salesman problem
- Triangles
- Trigonometry
- Trigonometry and Pythagoras
- Trinary numbers
- Two radii form an isosceles triangle
- Two tangents from a point have equal length
- tanh function

### V

### W

- What is a matrix?
- What is e?
- What is integration
- Why are the trig functions called sine, cosine and tangent?
- Why does complex number multiplication cause rotation?

### Other

## Join the GraphicMaths Newletter

Sign up using this form to receive an email when new content is added:

## Popular tags

adjacency matrix alu and gate angle area argand diagram binary maths cartesian equation chain rule chord circle cofactor combinations complex polygon complex power complex root cosh cosine cosine rule cpu cube decagon demorgans law derivative determinant diagonal directrix dodecagon ellipse equilateral triangle eulers formula exponent exponential exterior angle first principles flip-flop focus gabriels horn gradient graph hendecagon heptagon hexagon horizontal hyperbola hyperbolic function infinity integration by substitution interior angle inverse hyperbolic function inverse matrix irregular polygon isosceles trapezium isosceles triangle kite koch curve l system locus maclaurin series major axis matrix matrix algebra minor axis nand gate newton raphson method nonagon nor gate normal not gate octagon or gate parabola parallelogram parametric equation pentagon perimeter permutations polar coordinates polynomial power product rule pythagoras proof quadrilateral radians radius rectangle regular polygon rhombus root set set-reset flip-flop sine sine rule sinh sloping lines solving equations solving triangles square standard curves star polygon straight line graphs surface of revolution symmetry tangent tanh transformations trapezium triangle turtle graphics vertical volume of revolution xnor gate xor gate