But you will get to know these little guys: the compass and the protractor.
TIM: Well, you won’t be getting into anything this complicated in your first geometry class. On-screen, a blueprint of an arch appears next to the actual arch. But those abstract forms can help us understand relationships between shapes in the real world. There’s no such thing as a perfectly straight line that goes on forever, or a point with zero dimensions. Well, all of these geometric forms are completely imaginary. A line from each corner of the triangle meets at a point above the plane, forming a pyramid. TIM: On multiple planes, line segments can form three-dimensional shapes, with length, width, and thickness.Ī label appears, reading, three-dimensional. On-screen, three line segments on the same plane intersect to form a triangle. TIM: Most two-dimensional geometric shapes are made up of line segments. TIM: Planes are two-dimensional: they have length and width, but no thickness.Ī label appears, reading, two-dimensional. On-screen, a plane appears, made up of a grid of intersecting lines that stretch out in all directions. TIM: Lines are contained within a plane, a flat surface that goes on forever. TIM: They’re one-dimensional they have length, but no width or thickness.Ī label appears, reading, one-dimensional. On-screen, two arrows move outward along the length of the line. TIM: Lines go on forever in both directions. On-screen, a line appears, made up of many points. TIM: One step up from a point is a line, which is a whole lot of points arranged in a straight, uh, line. Three arrows appear: one along the block's length, one along its width, and one along its depth. On-screen, a three-dimensional block appears. TIM: A dimension is just a way to measure a geometric figure, like length, width, and depth. In other words, it has zero dimensions.Ī label appears, reading, dimensions. TIM: A point is just a location in space. It all starts with the point, the fundamental geometric figure. But all those complicated shapes and funky diagrams are based on a few basic concepts. TIM: I know, when you first see geometry, it looks kinda scary. The pages are filled with text and geometric diagrams. TIM: But he was the first to organize those rules into a single, provable system of thought. TIM: Mathematicians from way before Euclid had already discovered many of the rules he laid out in his famous text, Elements. On-screen, four ancient Greeks using various tools appear: a land surveyor, an astronomer, an architect, and a ship navigator. But it was also used by astronomers, architects, and ship navigators. TIM: Well, it could be because one of the main uses for geometry back then was measuring property. TIM: The word geometry is derived from the Greek words for Earth and measure. TIM: Euclidean geometry’s named after Euclid, a Greek mathematician who lived more than 2,000 years ago. But the kind you’re likely to run into in junior high and high school is Euclidean geometry, a branch of math dealing with shapes and space.Ī label appears, reading, Euclidean Geometry. TIM: There are actually many types of geometry. Four shapes appear: a circle, a square, a cylinder, and a triangle. TIM: Good question! In geometry, we study things like perimeters, areas, and volumes, and also the relationships between different angles.Ī label appears, reading, geometry. TIM: I knew we should have turned left at that last atoll.Ī letter appears. Tim wears a captain’s hat, and Moby holds a sextant. A boy, Tim, and his robot friend, Moby, stand on the deck of a wooden sailing ship. Title text reads, The Mysteries of Life with Tim and Moby.
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