Annals of Mathematics
Annals of Mathematics
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In our eReader you can find the full English version of the book. Read Annals of Mathematics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Annals of Mathematics
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Introduotioil. In proving a geometrical proposition by the method of abridged notation certain identities, often of an extremely simple character, are used, from whose geometric interpretation the proof of the theorem follows.
It frequently happens that the set of identities we have used in the proof of our theorem admits of a second geometrical interpretation, and when we have noticed this fact, we have before us a new geometiical theorem which we have, so to speak, deduced from the theorem fr...om which we started, or rather from our method of proving it.
To illustrate what I mean by a very simple example, let us consider the / theorem that the bisectors of the angles of a triangle meet in a point. To U prove this by the method of abridged notation we indicate the equations of the sides of the triangle by (1) 1^ = 0, v = 0, ?i? = 0.
If we suppose that all these equations are written in the nonnal fonn : X cos a -f y sin a — j9 = 0, the equations of the bisectors of the angles will be (2) w — t; = 0, V — t
What to read after Annals of Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Princeton University to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Introduotioil. In proving a geometrical proposition by the method of abridged notation certain identities, often of an extremely simple character, are used, from whose geometric interpretation the proof of the theorem follows.
It frequently happens that the set of identities we have used in the proof of our theorem admits of a second geometrical interpretation, and when we have noticed this fact, we have before us a new geometiical theorem which we have, so to speak, deduced from the theorem fr...om which we started, or rather from our method of proving it.
To illustrate what I mean by a very simple example, let us consider the / theorem that the bisectors of the angles of a triangle meet in a point. To U prove this by the method of abridged notation we indicate the equations of the sides of the triangle by (1) 1^ = 0, v = 0, ?i? = 0.
If we suppose that all these equations are written in the nonnal fonn : X cos a -f y sin a — j9 = 0, the equations of the bisectors of the angles will be (2) w — t; = 0, V — t
What to read after Annals of Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Princeton University to read onlineMoreLess
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