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pro vyhledávání: '"Colin R. Fletcher"'
Autor:
Colin R. Fletcher, Tony Crilly
Publikováno v:
The Mathematical Gazette. 105:27-39
In a previous article [1] we examined the concept of blood relations in a family tree and we used mathematics to highlight and simplify the descriptions involved, such as child, parent, great-uncle, second cousin, third cousin once removed.
Publikováno v:
The Mathematical Gazette. 102:13-22
A shape is called equable if its area and perimeter are numerically equal relative to some given system of units. For example, if a square is equable, then its side, a, must satisfy 4a = a2. So there is only one equable square, and it has side 4.It i
Autor:
Colin R. Fletcher, Tony Crilly
Publikováno v:
The Mathematical Gazette. 99:402-415
Autor:
Tony Crilly, Colin R. Fletcher
Publikováno v:
The Mathematical Gazette. 98:432-451
We consider two connected problems: •For a given but otherwise arbitrary triangle in the plane, to construct similar triangles which ‘meet’ this triangle.•To find the triangle so formed which has least area.1. Constructing a triangle which me
Autor:
Colin R. Fletcher, Tony Crilly
Publikováno v:
The Mathematical Gazette. 94:193-202
Mathematicians are fascinated by relatios and have worked our extensive theories about them. The treatments tend to be abstract and sometimes the basic ideas are lost in the abstraction. Here we investigate some common ground between mathematical rel
Autor:
Colin R. Fletcher, Tony Crilly
Publikováno v:
The Mathematical Gazette. 82:2-7
What are your mathematical gems? Which results or ideas in mathematics give you the greatest pleasure? Which of them would you choose to take with you to while away the hours on a desert island? Is there a mathematical book above all others that you
Autor:
Ahmet Ağargün, Colin R. Fletcher
Publikováno v:
The Mathematical Gazette. 81:53-57
There are hints of unique factorisation in Greek arithmetic. Indeed, some commentators have seen the Fundamental Theorem of Arithmetic (FTA), that the natural numbers can be expressed as products of primes in a unique way, lurking in Euclid’s Eleme
Autor:
Colin R. Fletcher
Publikováno v:
The Mathematical Gazette. 80:476-484
The prime numbers are often called the building blocks of number theory, a classic case of a ‘sine qua non’. If the corpus of the theory of numbers is looked upon as an architectural pile then the primes will be found amongst its foundations, and
Autor:
Colin R. Fletcher, Ahmet Ağargün
Publikováno v:
Historia Mathematica. 21(2):162-173
The work of al-Fārisī on amicable numbers begins with nine propositions of elementary number theory. The purpose of this article is to produce an English translation of these propositions and to provide a commentary on al-Fārisī's methods. In par
Autor:
Colin R. Fletcher
Publikováno v:
Historia Mathematica. 18:344-351
At the beginning of 1640 Frenicle asked Fermat to find a large perfect number. This question led to a correspondence between the two men in which Fermat disclosed the general statement of what is now known as Fermat's theorem. In this article missing