Introduction to Euclidean Constructions

Trent Burchard, sencindi, 28 Jan 2026

MAT 4263 - Day 2 Euclidean Constructions and Intro to Geogebra

Table of Contents

  1. Geogebra Tutorial
    1. Euclidean Constructions: Tutorial
    2. Proposition 1: To construct an equilateral triangle on a given finite straight line.
    3. Proposition 2: To place a straight line equal to a given straight line with one end at a given point.
    4. Proposition 3: To cut off from the greater of two given unequal straight lines a straight line equal to the less.

1.

Geogebra Tutorial

  • 1. Euclidean Constructions: Tutorial
  • 2. Proposition 1: To construct an equilateral triangle on a given finite straight line.
  • 3. Proposition 2: To place a straight line equal to a given straight line with one end at a given point.
  • 4. Proposition 3: To cut off from the greater of two given unequal straight lines a straight line equal to the less.

1.1.

Euclidean Constructions: Tutorial

[img]https://www.geogebra.org/resource/at7ss8dz/myrI5A4sZbo4ry23/material-at7ss8dz.png[/img]Goal[list=1][*]Construct a line segment from A to B.[/*][*]Construct a ray from C to D.[/*][*]Construct a circle with center E and radius EF.[/*][*]Construct a circle with center F and radius EF.[/*][*]Construct a (black) point at the intersection of AB and the ray CD.[/*][/list]
– Justin Aion, sencindi

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