First definition of triangles from Euclid’s Elements Book I (Fundamentals of Plane Geometry Involving Straight Lines), Definition 20.

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# jped Maths

## First Definition of Triangles

## Further Maths Conic Section Locus Problem

## Conic Sections Tangent/Normal Locus

## Hyperbola – Focus Directrix

## The Angle in a Semi-Circle, Euclid Book III, Proposition 31

## Algebraic Form of the Modulus Function

## Functional Transfromations – Core Maths into STEP

## Transformations for IGCSE – Enlargement

## IGCSE Transformations – Rotation

## Great Circles and Spherical Triangles

stuff that arises in my teaching of mathematics at the King's School Canterbury

First definition of triangles from Euclid’s Elements Book I (Fundamentals of Plane Geometry Involving Straight Lines), Definition 20.

Intersection of perpendicular normals on one parabola makes another. Another A level further maths conic sections locus problem.

A level further mathematics question animated. Mid point of Normal x-intercept and Tangent y-intercept traces out another curve as original point moves round an ellipse.

Hyperbola – locus of points in which ratio of distance from a focus point to the perpendicular distance to a line (directrix) is constant and greater than 1. Staple diet of school Further Mathematics.

Ancient theorem of Euclid (Book III, Proposition 31) still a fundamental part of school maths. The angle in a semi-circle is a right angle.

Sneaky play with algebraic notation and function definition lays traps for scholarship students in school maths.

Linking core maths 3 functional transformations to Step algebra and solutions of equations.

Enlargement.

Rotations in space make good Saturday morning maths at the King’s School.

In the geometry of mariners, where straight lines are Great Circles, the angle sum of a triangle is more than 180 degrees.