The World of Mathematics: A Small Library of the Literature of Mathematics from Aʻh-mosé the Scribe to Albert Einstein, Том 3Simon and Schuster, 1956 - Всего страниц: 2535 |
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Стр. 1656
... contains the undefined terms point and line as well as Axioms 1-4 . In particular , it is valid for euclidean plane geometry , which is only one of the possible geometries embodying these four axioms , and which , as we stated before ...
... contains the undefined terms point and line as well as Axioms 1-4 . In particular , it is valid for euclidean plane geometry , which is only one of the possible geometries embodying these four axioms , and which , as we stated before ...
Стр. 1657
... contains at least two points . Proof . Let L be any line . By the above corollary , L contains a point p . To show p not the only point on L , we shall use a " proof by contradic- tion . " Suppose p is the only point that L contains ...
... contains at least two points . Proof . Let L be any line . By the above corollary , L contains a point p . To show p not the only point on L , we shall use a " proof by contradic- tion . " Suppose p is the only point that L contains ...
Стр. 1697
... containing both A and B. II . If A and B are distinct elements of S , there is not more than one m - class ... contains more than three elements of S. The reader will observe that in this set of assumptions we have just two ...
... containing both A and B. II . If A and B are distinct elements of S , there is not more than one m - class ... contains more than three elements of S. The reader will observe that in this set of assumptions we have just two ...
Содержание
Statistics and the Design | 1415 |
Foundations of Vital Statistics by JOHN GRAUNT | 1421 |
First Life Insurance Tables by EDMUND HALLEY | 1437 |
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Другие издания - Просмотреть все
The World of Mathematics: A Small Library of the Literature of ..., Том 3 James Roy Newman Просмотр фрагмента - 1956 |
The World of Mathematics: A Small Library of the Literature of ..., Том 3 James Roy Newman Просмотр фрагмента - 1956 |
The World of Mathematics: A Small Library of the Literature of ..., Том 3 James Roy Newman Просмотр фрагмента - 1956 |
Часто встречающиеся слова и выражения
algebra arithmetic assertion assumptions average axiom of choice axiomatic axiomatic method Bertrand Russell calculation called cardinal number chance concept consider consistency construction contains counting curve deduction defined definition denumerably infinite derived elements equal equation Ernest Nagel errors Euclid euclidean geometry example experience experimental expression fact false Figure finite number formal formula given Goedel number googol googolplex HANS HAHN Hilbert idea implication infinity integer interpretation intuition Leibniz logic m-class mathe mathematical logic mathematical propositions mathematician matics meaning measure ment meta-mathematical method natural numbers non-Euclidean geometries notion objects observation obtained operation ordinary parallel axiom philosophy physical plane positive number possible postulates principle problem proof proved pure question real numbers reasoning relation represent result rule sample sense sentence sentential calculus sentential function space statement straight line symbols theorems theory things tion transformations triangle true truth variables velocity words