# Mathematics

### Axioms, Corollaries & Theorems

Axioms Axiom: A statement or proposition that is regarded as being established, accepted, or self-evidently true. Axiom 1: There is exactly one line through any two given points Axiom 2: [Ruler Axiom]: The properties of the distance between points. Axiom 3: Protractor Axiom (The properties of the degree measure of… Continue Reading →

### Theorems to Learn for Leaving Cert. HL

Theorem: A general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths. 1. Vertically opposite angles are equal in measure. 2. In an isosceles triangle the angles opposite the equal sides are equal. Conversely, if two angles are equal, then the… Continue Reading →

### Logarithms – Explained

What are logarithms and why are they useful? Get the basics on these critical mathematical functions — and discover why smart use of logarithms can determine whether your eyes turn red at the swimming pool this summer. Introduction to Logarithms