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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.

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

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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.

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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.

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

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

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

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

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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.

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

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The Nine Chapters on the Mathematical Art

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The Nine Chapters on the Mathematical Art

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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.

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The Nine Chapters on the Mathematical Art

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

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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.

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

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

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

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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.

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

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Eudoxus Rational and Irrational Comparison

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Eudoxus Rational and Irrational Comparison

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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.

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Eudoxus Rational and Irrational Comparison

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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.