Lecture

Elementary Operations in Geometry

In course
DEMO: consectetur laboris Lorem ipsum
Fugiat ullamco magna sint tempor duis exercitation ipsum aute duis. Amet amet sint dolor est nostrud dolor dolore ut tempor culpa dolor voluptate. Nostrud ut proident mollit tempor est officia tempor nulla magna.
Login to see this section
Description

This lecture covers elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles. It explores the transition from basic to advanced geometry, focusing on the bisecting of angles and segments. The lecture delves into Euclid's Elements, discussing the division of segments and angles by integers, as well as the comparison of similar triangles. It also touches on the concept of proportionality in triangles and the invariance of areas. The presentation concludes with a demonstration of the theorem on the invariance of triangle areas when the vertex moves parallel to the base.

Instructor
dolor anim labore
Sint aliqua aliqua aliqua dolore. Proident velit sit ex sint ex proident exercitation incididunt eiusmod. In laborum dolore do consectetur in esse duis laborum excepteur. Mollit ea sunt tempor adipisicing irure nostrud ullamco cupidatat labore aliquip. Quis non nostrud sunt ad. Dolor sunt sint deserunt ullamco voluptate consequat fugiat ullamco reprehenderit. Veniam aute consectetur aute Lorem elit consequat id voluptate eu exercitation.
Login to see this section
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Related lectures (78)
Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Euclidean Geometry: Operations and Constructions
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
Division in Extreme and Mean Reason: Luca Pacioli's Influence
Delves into the concept of Division in Extreme and Mean Reason (DEMR) and its historical significance in geometry.
Geometric Operations: Euclidean Elements
Explores fundamental geometric operations from Euclid's Elements, including bisecting angles and segments.
Euclidean Geometry: Operations and Constructibility
Covers fundamental operations and constructibility in Euclidean geometry, exploring the limitations of geometric constructions and historical contributions.
Show more