Constructing and Unpacking Diagrams in Geometry

2020 ◽  
Vol 113 (6) ◽  
pp. 516-519
Author(s):  
Kimberly A. Conner
Keyword(s):  
Mathematical Diagrams

By having students practice constructing diagrams for geometric theorems, teachers can develop students' understanding of mathematical claims, vocabulary, and notation methods. This practice can also strengthen students' ability to interpret mathematical diagrams and recognize their limitations.

Why Were Greek Mathematical Diagrams Schematic?

Nuncius ◽  
2020 ◽  
Vol 35 (3) ◽  
pp. 506-535
Author(s):  
Reviel Netz
Keyword(s):  
Deep Dive ◽  
Mathematical Proofs ◽  
Mathematical Diagrams

Abstract This article presents the case for the claim that Greek mathematical diagrams were schematic. Following a deep dive into the practices and the process of transmission of those diagrams, the article situates Greek diagrammatic practices within the broader context of Greek scribal and readerly practices. The literary papyrus bookroll was produced and read as a tool for the projection of an imagined performance; so was the specialized type of bookroll containing mathematical proofs.

Methods of Constructing Ellipses and Parabolae

1945 ◽  
Vol 29 (283) ◽  
pp. 12-14
Author(s):  
T. K. Chaplin
Keyword(s):  
Circular Arcs ◽  
Mathematical Diagrams

In the preparation of mathematical diagrams for reproduction, it is often necessary to draw an ellipse or parabola with considerable accuracy. The methods described below need only a ruler, compasses and a set of French curves ; they produce very satisfactory results with a minimum of construction. The process consists in setting out, by simple geometrical constructions, short circular arcs of curvature and then filling in the spaces between them with the aid of French curves. It is best to do the actual constructions in pencil and to ink the curves in afterwards with a drawing pen and French curves.

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