All articles (181)



A

  1. A Level and beyond
  2. About
  3. Adjacency matrices
  4. Advanced trigonometry
  5. Angle at the centre of a circle is twice the angle at the circumference
  6. Angle in a semicircle is 90 degrees
  7. Angles in the same segment of a circle are equal
  8. Area and circumference of circles
  9. Area and perimeter
  10. Area and perimeter of quadrilaterals
  11. Area and perimeter of triangles
  12. Argand diagrams
  13. arcosh function
  14. arsinh function
  15. artanh function

B

  1. Binary addition, subtraction and negative numbers
  2. Binary numbers
  3. Binary numbers

C

  1. Calculating a Maclaurin series
  2. Cantor set
  3. Cartesian equation of a parabola
  4. Cartesian equation of a rectangular hyperbola
  5. Cartesian equation of ellipse
  6. Cartesian product
  7. Circle geometry
  8. Collage theorem
  9. Combinations
  10. Complex number arithmetic
  11. Complex numbers
  12. Computer science
  13. Congruent and similar shapes
  14. Congruent shapes
  15. Congruent triangles
  16. Coordinate systems
  17. Cosine rule
  18. Countable and uncountable sets
  19. Cube
  20. Cube surface area and net
  21. cosech function
  22. cosh function
  23. coth function

D

  1. Decagons - polygons with 10 sides
  2. Derivative of sine, geometric proof
  3. Derivative of the exponential function
  4. Differentiation
  5. Differentiation - the chain rule
  6. Differentiation - the product rule
  7. Differentiation from first principles - x²
  8. Dodecagons - polygons with 12 sides
  9. Drawing Sierpinski triangles
  10. Drunk man and keys problem

E

  1. Einstein's proof of Pythagoras' theorem
  2. Ellipses
  3. Error page not found
  4. Escape-time fractals
  5. Euler's formula - proof
  6. Exponential and logarithm functions

F

  1. Factorials
  2. Formula for e
  3. Fractals
  4. Fractals

G

  1. GCSE
  2. GCSE graphs
  3. GCSE measures
  4. Geometry
  5. Geometry basic rules
  6. Gradient of a line
  7. Graph theory
  8. GraphicMaths
  9. Graphs
  10. Graphs of exponential functions
  11. Graphs of sloping lines through the origin
  12. Greatest common divisor (GCD) of two numbers

H

  1. Hendecagons - polygons with 11 sides
  2. Heptagons - polygons with 7 sides
  3. Hexagons - polygons with 6 sides
  4. Horizontal, vertical and diagonal straight line graphs
  5. Hyperbolas
  6. Hyperbolic angle
  7. Hyperbolic functions

I

  1. Imaginary and complex numbers
  2. Interior and exterior angles of a polygon
  3. Introduction
  4. i to the power i

L

  1. L system Koch curve
  2. L system trees and ferns
  3. L systems
  4. Lexicographic order
  5. Line symmetry
  6. Loci
  7. Locus of points a fixed distance from a given line
  8. Locus of points a fixed distance from a given point
  9. Locus of points an equal distance between 2 lines
  10. Locus of points an equal distance between 2 points
  11. Logic
  12. Logic gates
  13. Lowest common multiple (LCM) of two numbers

M

  1. Maclaurin and Taylor series
  2. Maclaurin series of the exponential function
  3. Maclaurin series of the sine function
  4. Mathematical models in mechanics
  5. Mechanics
  6. Modulus-argument form of complex numbers
  7. Monty Hall problem
  8. More quadrilaterals

N

  1. Negative and fractional exponents
  2. Newton Fractal
  3. Nonagons - polygons with 9 sides
  4. Number theory
  5. Numerical methods
  6. n-gons - polygons with any number of sides

O

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

P

  1. Parabola example
  2. Parabola focus and directrix
  3. Parabolas
  4. Parabolas - effect of parameter 'a'
  5. Paradoxes
  6. Parallel lines
  7. Parametric equation of ellipse
  8. Parametric equations
  9. Parts of a circle
  10. Pentagons - polygons with 5 sides
  11. Permutations
  12. Permutations and combinations
  13. Perpendicular bisector of a chord
  14. Pigeonhole principle
  15. Polar coordinates
  16. Polar curve constant r
  17. Polar curve constant theta
  18. Polar curve r proportional to theta
  19. Polygons
  20. Prime factors of a number
  21. Pure mathematics
  22. Pythagoras
  23. Pythagoras' theorem
  24. Pythagoras' theorem proof
  25. Pythagorean triples

Q

  1. Quadrilateral family tree
  2. Quadrilaterals

R

  1. Radians
  2. Recreational maths
  3. Rectangular hyperbola example
  4. Regular polygons
  5. Regular tessellations
  6. Resources
  7. Rotational symmetry
  8. Rules of exponents

S

  1. Set theory
  2. Similar shapes
  3. Similar triangles
  4. Similar triangles proof
  5. Sine rule
  6. Slope of a curve
  7. Solving equations numerically
  8. Solving equations using interval bisection
  9. Solving equations using linear interpolation
  10. Solving equations using the Newton-Raphson method
  11. Standard curves in polar coordinates
  12. Star polygons
  13. Straight line graphs
  14. sech function
  15. sinh function

T

  1. Tangent and radius of a circle meet at 90°
  2. Tessellations and symmetry
  3. Transformations
  4. Translation
  5. Triangles
  6. Trigonometry
  7. Trigonometry and Pythagoras
  8. Trinary numbers
  9. Two radii form an isosceles triangle
  10. Two tangents from a point have equal length
  11. tanh function

V

  1. Videos

W

  1. What is e?
  2. Why are the trig functions called sine, cosine and tangent?
  3. Why does complex number multiplication cause rotation?

Other

  1. 2 to the power π - exponential function for an irrational value of x
  2. 3D geometry


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