Geometry Courses

The car in the circle will not stop for you. Yield, join a one-way stream, and leave — the pavement does the slowing that a red light used to do.

Learn to find torque from force, lever arm, and angle, assign its direction, and test whether opposing turning effects balance.

Choose the right micropipette, control aspiration and dispensing, select forward or reverse technique, and verify delivered volume with repeatable measurements.

Calculate molarity from moles, mass, and solution volume, then use units to prepare and dilute solutions without losing the thread.

On 9 March 1776 two quarto volumes went on sale at Strahan and Cadell's in the Strand. The first sentence named a nation's annual labour, not its gold.

Beagle patterns, pigeon breeds, island maps, and an entangled bank: Darwin’s 1859 Abstract argues for descent with modification — and takes the eye and sterile ants seriously.

Calculate density from mass and volume, measure irregular objects, and interpret floating without overclaiming.

Learn how light bends at a boundary, why angles use the normal, and when total internal reflection can occur.

Read Henry James's first volume through Isabel Archer's ideal of freedom, the money and people that shape it, and the choice taking form around Gilbert Osmond.

Read Herbert Spencer's ambitious synthesis of matter, metabolism, development, adaptation, and evolution, then test its nineteenth-century mechanisms against modern biology.

Read Augustine's first thirteen books through Rome's crisis, the limits of empire, the problem of evil, and the two cities' journey through history.

He does not wear his scarlet coat. A 1913 Methuen volume sets Wilde's prison ballad after poems of marble, yellow fog, and a bronze sphinx.

Walt Whitman first published Leaves of Grass in Brooklyn in 1855, a small volume of twelve untitled poems with his portrait but no author name on the title page. He did not treat that book as finished. Across successive editions he added po

Open the 1840 volume and its first surprise is its shape: Coleridge died in 1834, and the book was assembled and published afterward. Letters on Scripture lead into an essay on faith, prayer-book notes, a nightly prayer, and naval prose—a m

An antlion pit is not a hole. It is a slope of dry sand held just short of collapse, and the larva at the bottom spends its life throwing back the grains that would settle it into a safer angle. A trapdoor spider does the same trick with di

The winning drawing had no buildable roof on it, and the state started pouring concrete anyway. What followed was six years of failed geometries, one sphere, 30,000 hand-written equations, 1,056,006 tiles — and an architect who walked out i

Look down the aisle at a cabin window. That rounded rectangle is a hole in a pressure vessel, not a picture frame. Behind the trim, panes, seals, and a frame share the job of holding cabin air at altitude.

Above your hand the two edges are separate; below it they are one seam, and nothing about the fabric changed. Follow the Y-shaped tunnel inside the slider, the 1893 patent for a boot fastener nobody wanted, the channel angle Sundback had to

Follow Locke's account of innate principles, experience, ideas, qualities, identity, and the limits of what the understanding can know.

See how angle of attack, wing shape, force balance, and aircraft systems let aerobatic planes fly inverted.

Imagine a border that stops passports but not armed networks, refugees, or fears. In Kivu, you can see why a local dispute became a regional war: nearby governments and communities were entangled in the same security problem.

Water carries geology into the mixing bowl. Follow hardness, calcium, magnesium, alkalinity and treatment into gluten, fermentation, loaf volume and the city-to-city bread myth.

Follow the feedback loop of lean, steering, tire forces, geometry, and rider control that keeps a bicycle upright.

Follow sunlight through water droplets to see how refraction, reflection, dispersion, and your viewing angle turn rain into a bow of color.

Follow pressurized steam through a valve, jet, sharp lip, and resonant bell to see how a steam whistle makes pitch, volume, and signals.

How sleeping muscle tone, airway geometry, and moving air create sound—and why loudness alone cannot diagnose apnea.

Follow ice-crystal shape, refraction, solar angle, and halo geometry to explain sundogs.

Follow refraction, internal reflection, dispersion, raindrop geometry, and viewing angle.

Follow layered snow, weak interfaces, slope angle, triggers, crack propagation, release, and runout.

Decode the waggle dance: sun angle, distance, scent, value, and colony recruitment.

A pump is a moving volume

Raindrops refract, reflect, and disperse sunlight into a personal 42-degree geometry.

Living bone frames load, joints negotiate angles, and muscle levers turn pulls into posture and gait.

Gravity gradients drive tides, spin slows, nights brighten, and eclipses reveal alignment geometry.

Volume isn't a formula to memorise — it's just counting the little cubes that fill a box. You'll pack a box with unit cubes a row, a layer, and a stack at a time, discover why length × width × height

Volume is just how much space fits inside a solid — and the secret is counting cubes. See why a box packed with n unit cubes has a volume of exactly n cubic units, and where the length × width × heigh

A shape like a staircase or a chunky letter L looks like it should need some scary new formula to measure its space. It doesn't. Every one of these solids is just a couple of plain boxes stuck togethe

Stop counting squares one by one! Discover that the little squares inside a rectangle line up in equal rows — so you can find the area just by multiplying the two side lengths. You'll learn why area i

Three questions live inside every shape: how far is it around, how much surface does it cover, and how much space does it fill? Meet perimeter, area, and volume as one big idea — counting equal units

Some shapes aren't a plain rectangle — they have a notch, a step, or an L-shaped corner. To find how far it is around one of these, you don't need a brand-new formula. You need one detective trick: re

You already know how to find the area of a rectangle: multiply the two sides. But what about a shape that leans over, or a triangle with a slanted edge? It turns out you don't need brand-new rules at

How much space fits inside a thing? Learn to measure volume the way it actually works — by counting identical little cubes. Build a box a layer at a time, discover why length × width × height is just

Learn to answer the two everyday measuring questions — how heavy? and how much? — with grams, kilograms, milliliters, and liters. You'll read scales and cups accurately, estimate like a pro, and solve

Perimeter is the distance all the way around a shape. Learn to add up the sides, take shortcuts for rectangles and squares, hunt down a missing side, and discover that shapes with the same perimeter c

Learn to read any clock! Meet the hour hand and the minute hand, count minutes by fives to tell time to five minutes, and figure out a.m. from p.m. by picturing a day as a circle the clock travels twi

A group of rejected painters who changed what painting is for. Meet Monet, Degas, Renoir, Morisot and their circle; learn what was genuinely radical about painting light instead of objects, why the Sa

Get off auto for good. Master the exposure triangle — aperture, shutter, and ISO as one constraint with three knobs — then the composition toolkit that turns snapshots into photographs. Every control

Additive manufacturing inverted exactly one rule — geometric complexity stopped costing money — and left every other rule of manufacturing standing. This is production metal, not the desktop machine:

See what it takes to gather a small city for three hours: long-span roofs with no columns, sightline geometry, and egress design that empties the bowl in minutes. You'll understand retractable roofs,

Understand the photovoltaic effect without hand-waving, then scale up from one cell to a thousand-acre solar farm. You'll know what inverters do, why panel angle and temperature matter, and how solar

See the interstate as a designed object: sight lines, superelevation, pavement layers, and interchanges that untangle crossing streams of traffic. You'll never drive a cloverleaf again without seeing

Study the race car as one optimization problem: four hand-sized contact patches, and everything else. You'll understand slip angle, load sensitivity, the friction circle, downforce and ground effect —

The part of the railroad everyone looks past. Ballast is loose stone on purpose, welded rail is stressed on purpose, and the geometry drifts on purpose — because the track is built to be put back.

Build real intuition for the quantum world using experiments instead of equations. You'll understand superposition, entanglement, and measurement well enough to see through the hype.

Untangle what the UK actually is — England, Scotland, Wales, and Northern Ireland, each with its own identity inside one state. You'll learn the island's landscapes, how Parliament and the monarchy fi

Study the buildings that stood for centuries on geometry, rules of thumb, and nerve: Roman domes, Gothic vaults and buttresses, and Brunelleschi's double shell. You'll understand how masons managed fo

Learn how the ISS keeps humans alive 250 miles up: recycled water, scrubbed air, solar power, and constant resupply. You'll understand orbital mechanics enough to explain why the station circles Earth

Revisit shapes, angles, and the triangle math behind measurement. You'll compute areas and volumes and use sine, cosine, and tangent with confidence.

Continue into integration and its many uses. You'll evaluate integrals, compute areas and volumes, and work with infinite series and convergence.

A good plan turns a tangled problem into simple steps — and a good check catches mistakes before they cost you. Learn to map out the steps, solve them, and prove your answer makes sense.

Learn to read and draw life cycle diagrams, using arrows and circles to show how living things grow and repeat.

One ocean animal usually eats many foods, and is eaten by many others. See how dozens of food chains link together into a tangled ocean food web.

From streamlined sharks to glowing anglerfish, discover the clever body features and tricks that help ocean animals swim, breathe, hide, and hunt in the sea.

In the cold, crushing, pitch-black deep sea live some of the strangest animals on Earth. Meet glowing anglerfish, giant squid, and creatures that thrive with no sunlight at all.

An answer is even better when you can show HOW you got it! Learn to draw circles, make marks, and lay out counters so everyone can see your thinking.

Name angles, measure them with a protractor, and use powerful angle facts — straight lines, points, and crossing lines — to hunt down missing angles.

Unlock the link between angles and sides in right triangles. Learn SOH-CAH-TOA and use sine, cosine, and tangent to work with the sides you can't reach.

In every right triangle, a² + b² = c². Discover this 2,500-year-old rule, use it to find missing sides, and spot the famous 3-4-5 triangle everywhere.

Add up the angles inside any polygon, measure the area of flat shapes, and calculate the volume of solids — three powerful geometry tools in one course.

Prove two shapes are identical with congruence rules, unlock the angle facts hidden in parallel lines, and build perfect shapes with a compass and straightedge.

Meet pi, the number hidden in every circle, and use it to measure the distance around a circle (C = πd) and the space inside it (A = πr²).

Name polygons by their sides and tell regular shapes (equal sides and angles) from irregular ones.

Name the centre, radius, diameter and circumference, and use diameter = 2 × radius.

Use a protractor to measure and draw angles, and name acute, right and obtuse angles.

Use angle rules — straight lines, points, triangles and quadrilaterals — to work out missing angles.

Use angle rules and equal-side rules to work out missing angles and side lengths in shapes.

Crack the code of geometry diagrams — right-angle squares, equal-side ticks, parallel arrows, and labelled corners.

Sort angles into right, acute, and obtuse, and name 2D shapes by counting their sides.

Learn the big angle rules — angles on a straight line add to 180°, angles around a point add to 360° — and use them to find missing angles.

Every triangle follows one simple rule — 3 straight sides and 3 corners. Learn the rule and spot triangles everywhere!

An angle is how much a corner opens. Meet right angles, sharp acute angles, and wide obtuse angles — and spot them everywhere!

Parallel lines run side by side and never meet, like train tracks. Perpendicular lines cross at a perfect right angle. Learn to spot both!

Untangle heat from temperature, meet the joule, and find out why a warm bath holds more heat than a spark and why a full kettle needs more energy than a cup.

Follow the flow of energy from the Sun through producers, consumers, and decomposers, and see how food chains link into tangled food webs.

Find the area of rectangles with fractional sides by multiplying fractions straight across.

Construct pie charts by calculating sector angles, build line graphs from data, and read both to spot trends and solve problems.

Cut circles and rectangles into two and four equal shares, and use the words halves, fourths, and quarters like a pro.

Plug numbers into formulas like P = 2(l + w) to find perimeters, areas, and more. Once you can substitute values, one formula works for every rectangle or triangle.

Build sequences from rules like 'add 3 each time' or formulas like 3n − 2, and tell whether a sequence is arithmetic, geometric, or neither.

Count collections of up to 20 things — in lines, circles, or scattered piles — and show numbers with counters, fingers, tally marks, and dots.

The real physics behind the thrills: how the first hill stores energy, what g-forces do to your body, why loops are teardrops not circles, how launches work, and why coasters are engineered fear.

Grab a pencil and discover the big secret of drawing: everything you see is made of circles, squares, and triangles — and you already know how to draw those!

Qubits, superposition, and entanglement, finally explained without the hype.

Scales, chords, and the circle of fifths, the grammar behind every song.

Argue with logic, evidence, and confidence, not just volume.

Crack the code behind melody, harmony, and the circle of fifths.

Angles, triangles, circles, and proof: how shapes reveal hidden truths.

Discover the shapes hiding all around you, from pizza slices to soccer balls!

Circles, squares, triangles and more, hiding in everyday things.

Blast off to meet the eight planets that circle our Sun!