H. L. L. Busard's Johannes de Tinemue's Redaction of Euclid's Elements, the PDF

By H. L. L. Busard

Euklids Hauptwerk, die Elemente, gilt als dasjenige wissenschaftliche Werk, das am häufigsten bearbeitet und benutzt wurde; es struggle ueber 2000 Jahre lang nicht nur das mathematische Lehrbuch schlechthin, sondern es beeinfluáte auch die Entwicklung anderer wissenschaftlicher Disziplinen. Das Werk wurde im 12. Jahrhundert aus dem Arabischen ins Lateinische uebersetzt, u.a. von Adelhard von tub. Diese Übersetzung wurde der Ausgangspunkt fuer zahlreiche weitere Bearbeitungen, wie die Redaktion, die um 1200 wahrscheinlich von Johannes de Tinemue angefertigt wurde. Campanus, der in den Jahren 1255/59 die fuer Jahrhunderte maágebende Euklid-Ausgabe besorgte, hat diese Redaktion sehr wahrscheinlich auch gekannt. "It is remember the fact that that the well known Euclid editor Busard has back discovered a masterly edition." Mathematical reports "àBusard's variation is necessary for our knowing of excessive medieval arithmetic. " Centaurus.

Show description

Read Online or Download Johannes de Tinemue's Redaction of Euclid's Elements, the So-Called Adelard III Version PDF

Best geometry books

Download e-book for iPad: An Algebraic Approach to Geometry: Geometric Trilogy II by Francis Borceux

This can be a unified therapy of a number of the algebraic techniques to geometric areas. The learn of algebraic curves within the complicated projective aircraft is the typical hyperlink among linear geometry at an undergraduate point and algebraic geometry at a graduate point, and it's also a big subject in geometric functions, similar to cryptography.

Read e-book online Geometry of Cauchy-Riemann Submanifolds PDF

This booklet gathers contributions through revered specialists at the idea of isometric immersions among Riemannian manifolds, and makes a speciality of the geometry of CR buildings on submanifolds in Hermitian manifolds. CR buildings are a package theoretic recast of the tangential Cauchy–Riemann equations in complicated research regarding numerous advanced variables.

Extra resources for Johannes de Tinemue's Redaction of Euclid's Elements, the So-Called Adelard III Version

Example text

H. Moore suggested in an address to the American Mathematical Society in 1902, the potential of concrete material for geometry: “The drawing and the paper folding must lead on directly to systematic study of intuitional geometry” (Trafton & LeBlanc, 1971, p. 17). Dienes (1969) pled for sys­ tematic use of things—that is, physical objects—in the learning of mathematics. The examples for geometry in primary school range from the use of mirrors, to chal­ lenging partitions of the cube, to paper folding.

From a cognitive point of view, construction tasks combine tactile manipulation with processes of visualization and reasoning (Duval, 1998). Roberts (2014) described the history of tools and technology in mathematics education with special regards to geometry. We return to some of these themes below, in our discussion of dynamic geometry software (DGS). In addition to being recognized for the influence of his geometry research pro­ gram, Felix Klein is regarded as the founder of mathematics education as a field of study at German universities.

Special features: Most DGS systems include the ability for a user to create and save macros so as to be able to repeat constructions on different sets of prim­ itives; they also permit tracing points as their position continuously varies in dragging mode; these are features that do not exist in paper-and-pencil constructions (Sträßer, 2002). Thus in DGS, the diagram represented on screen at any given moment is only a single representative of an entire class of equivalent diagrams that can be con­ tinuously varied.

Download PDF sample

Rated 4.50 of 5 – based on 30 votes