20 Geometrical Events by

Egyptian Pyramids

gracestrizak — 2024-11-13 03:39:05 UTC

The pyramids are examples of geometric shapes and proportions. The base is a square and the sides meet at a point which create a triangular shape.

Engineering

gracestrizak — 2024-11-13 03:39:24 UTC

Engineers use geometry to create blueprints and models. They need to calculate areas, volumes, angles, stability, ect.

Moscow Papyrus

gracestrizak — 2024-11-13 03:39:47 UTC

The Moscow Papyrus was a document discovered containing 25 new ideas in mathematical and geometrical history. One of the new ideas was calculating the volume of a pyramid with the top cut off.

Rhind Papyrus

gracestrizak — 2024-11-13 03:39:57 UTC

The Rhind Papyrus was an 18 feet wide document containing 48 new problems. It includes area and volume calculations, proportions, ratios, but mostly revolves around dealing with fractions.

Architecture

gracestrizak — 2024-11-13 03:40:17 UTC

Geometry is a necessity when being an architect. They use it to make designs, plans, integrity, spatial relationships, construction, and aesthetic appeal.

Navigation

gracestrizak — 2024-11-13 03:40:26 UTC

Navigation relies on maps and charts, which are based on geometric principles. Latitude and longitude are essential when navigating.

Isaac Newton

gracestrizak — 2024-11-13 03:40:35 UTC

Newton was credited as one of the fathers of calculus. He applied geometric principles to all of his contributions.

Pythagorean Triples

gracestrizak — 2024-11-13 03:40:45 UTC

This helps people understand right triangles and their properties. It is used to determine the lengths of the sides of right triangles.

Pappus Of Alexandria

gracestrizak — 2024-11-13 03:40:53 UTC

Pappus of Alexandria states his hexagon theorem and his centroid theorem. It states that given one set of collinear points and another set of collinear points, the intersection points of lines drawn between corresponding points are also collinear.

Hipparchus

gracestrizak — 2024-11-13 03:41:04 UTC

Hipparchus develops the bases of trigonometry. This is the study of the relationships between the angles and sides of triangles.

The Nine Chapters on the Mathematical Art

gracestrizak — 2024-11-13 03:41:13 UTC

The Nine Chapters on The Mathematical Art lays out an approach to mathematics that centers on finding the most general methods of solving problems. The problems may include calculating area, volume, and solving systems of simultaneous equations.

Thales of Miletus

gracestrizak — 2024-11-13 03:41:21 UTC

He created and proved Thales Theorem. He provided logical proof for his theorems which changed mathematical concepts. DE/BC=AE/AC=AD/AB

Pythagoras

gracestrizak — 2024-11-13 03:41:32 UTC

Pythagorean theorem is named after him. This states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Zeno's Paradoxes

gracestrizak — 2024-11-13 03:41:47 UTC

This is a set of philosophical problems. It makes us think more in depth about space, distance, and infinite division.

Numerals

gracestrizak — 2024-11-13 03:41:56 UTC

The first recorded incident of written numerals happened in Greece. Numerals help define, measure, and calculate properties and relationships.

Plato

gracestrizak — 2024-11-13 03:42:04 UTC

He believed that geometry was essential when trying to understand the world. He also founded the Academy in Athens.

Arthur Cayley

gracestrizak — 2024-11-13 03:42:13 UTC

Arthur Cayley shows that quaternions can be used to represent rotations in four-dimensional space. He developed the Cayley-Klein Metric, the Matrix Theory, Invariant Theory, and the Cayley's Theorem.

Plato's Polyhedra

gracestrizak — 2024-11-13 03:42:22 UTC

He identifies five polyhedra now known as Platonic bodies. He showed that we can use geometry to achieve a deeper connection to the universe.

Eudoxus Rational and Irrational Comparison

gracestrizak — 2024-11-13 03:42:30 UTC

Eudoxus makes a definition allowing the possibility of using irrational lengths and comparing them with rational lengths by using cross multiplication. He contributed a lot to the theory of proportions.

Euclid

gracestrizak — 2024-11-13 03:42:42 UTC

He discovered Euclidean geometry which use his axioms and theorems as they relate to plane and solid figures. His most famous contribution is the thirteen-book series called "Elements" that presents the principles of geometry.