Neusis Construction (compass and straight edge)

Описание: Download the free PDF worksheet from hhttps://mathswithgeoboards.com/wp-con...
A compass and straight edge is also needed.
-------------------------------------------------------
Discover the fascinating world of Neusis Construction — the ancient technique Archimedes used to trisect an angle using a compass and a marked straight edge ! In this hands-on video, Teacher Jon walks students through each step visually.
Students will explore:
• What Neusis construction is, and how it differs from traditional Euclidean constructions.
• A visual, hands-on method to trisect an angle, deepening understanding of geometry.
• A simple and clear proof that the construction really works — showing that the original angle is three times the new angle.
This lesson connects beautifully to the history of Greek Mathematics and makes an ideal Lower Secondary Mathematics topic. Trying the construction themselves helps students develop precise construction skills and prepares them for more advanced Upper Secondary geometry.
This video is part of a wider series on hands-on Maths — not just Maths with Geoboards — designed to make geometry engaging, accessible, with a high rate of retention.
----------------------------------------------------------------------
Historical Note:
Although Archimedes is associated with practical methods in geometry — often in contrast to the pure Euclidean approach of using an unmarked straightedge — there is no direct surviving evidence connecting Archimedes himself with neusis constructions for angle trisection. However, some of his contemporaries used neusis methods, and a later mathematician, Pappus of Alexandria (c. 300 AD), spelled out the exact neusis construction for trisecting an angle.
----------------------------------------------------------------------
#NeusisConstruction #TrisectingAnAngle #Archimedes #HandsOnMaths #TeacherJon #LowerSecondaryMathematics #Geometry #MathsEducation #CompassAndStraightEdge #MathsWithGeoboards
==========================================================================