Geometry Insights

3D Rotations: Yaw, Pitch and Roll Starter Matrices / Coordinates. #yaw #pitch #roll #aviation #computergraphics

Basic 3D Array formation for Desmos. #desmos #3d #multidimensional

GCSE Maths: The difference between the area of a right triangle and the area of a scalene triangle. #gcsemaths #trigonometry

Cosine Rule & Dot Product Mastery for ℝ². #cosinerule #dotproduct #vectors

Deriving the unit vector in ℝ² by scaling a non-zero vector (x₁, y₁) with λ, where λ = 1 / √(x₁² + y₁²). This turns the vector into length 1 while keeping the same direction.

Visual mathematics: Showing that the angles within a triangle must add up to 180 degrees. 🔺👁️💡 #triangles #equilateraltriangle #geometry

GCSE and A-Level Maths: Rationalising the Denominator. #surds #algebra #gcsemaths #alevelmaths

Vectors: Finding the centre of a triangle in R2 or R3 using a very simple method. No more headaches. #vectors

Maths A-Level Trigonometry Problem Solved Using Unit Circle. #visualmaths #trigonometry #alevelmaths

Trigonometry extras for SOH-CAH-TOA, CHO-SHA-CAO. #trigonometry #alevelmaths #sohcahtoa #choshacao

Odd numbers: Sequences and Series. #alevelmaths #quadraticsequence #sequences

Visual Mathematics: Areas of Triangles and Scaling. #transformations #invariance #math

GCSE Maths: The Alternate Segment Theorem The angle between a tangent and a chord is equal to the angle in the alternate segment. #gcsemaths #alevelmaths #geometry

Ratio Knowledge Examples of how to convert ratios into fractions and vice versa. Ratios are powerful tools that can be used to solve many types of mathematical problems. Mastering them is essential. #gcsemaths #alevelmaths #ratios #fractions

The geometric series for evaporation problems in International A-Level Mathematics. They don't usually give you this general formula in textbooks, nevertheless, you are required to use it. It differs slightly from the general rule for the sum of a geometric series. #math

International GCSE Mathematics (Higher) How to find the inverse function for g(x)=(x+6)/x, x≠0. One example. #inversefunctions #algebra #compositefunctions

Architecture & Geometry, #Bristol, United Kingdom. 🇬🇧 📸February 2026

Quick guide to counting: n! (all orderings), n!/(n−r)! (r choices, order matters), and n!/((n−r)!r!) (order ignored). Includes clean intuition + worked examples. 🔢✨🧠 geometricbites.blogspot.com/2026/02/factor…

GCSE and A-Level Mathematics: How to solve quadratic equations through completing the square. Two useful identities and method.

Two chords cross inside a circle, splitting into four segments. Surprisingly, the lengths obey a strict balance: one product equals the other. I rebuild the chord theorem from first principles, showing how angle symmetry forces the identity. geometryinsights.wordpress.com/2025/12/22/int…