An Elementary Treatise On Algebra
An Elementary Treatise On Algebra
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In our eReader you can find the full English version of the book. Read An Elementary Treatise On Algebra 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 An Elementary Treatise On Algebra
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ON THE INVOLUTION OF NUMBERS AND SIMPLE ALGEBRAIC QUANTITIES.
53. Involution^ or ** the raising of a quantity to a given power, '* is performed by the continued multiplication of that quantity into itself till the number of factors amounts to the number of units in the index of that given power. Thus, the square of a=a X a^a^ ; the cube of b==. B XbX b=b^ ; the fourth power of 2=2X2x2x2=16; the Jifth power of3=3x3x3X3x3=«243; &c. &c.
54. The operation is performed in the same manner for simple ...algebraic quantities, except that in this case it must be observed, that the powers of negative quantities are alternately -j- ^-nd — ; the even powers being positive, and the odd powers negative. Thus the square of +2« is +2aX +2a or +4^2; the square of —2a is — 2aX— 2a or +4a2 ; but the cube of —2a =—2a X —2a X —2a = +4a^ X — 2flr= —8a'.
The several powers of are, a a a^ a a a a^ a\ 2c a a b^y &c. =&c.
Ath power And the several powers of — — -j b b i?^ '2c Cubezz- Jb 2c pouter 2c &c.
What to read after An Elementary Treatise On Algebra?
You can find similar books in the "Read Also" column, or choose other free books by B Bewick Bridge to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
ON THE INVOLUTION OF NUMBERS AND SIMPLE ALGEBRAIC QUANTITIES.
53. Involution^ or ** the raising of a quantity to a given power, '* is performed by the continued multiplication of that quantity into itself till the number of factors amounts to the number of units in the index of that given power. Thus, the square of a=a X a^a^ ; the cube of b==. B XbX b=b^ ; the fourth power of 2=2X2x2x2=16; the Jifth power of3=3x3x3X3x3=«243; &c. &c.
54. The operation is performed in the same manner for simple ...algebraic quantities, except that in this case it must be observed, that the powers of negative quantities are alternately -j- ^-nd — ; the even powers being positive, and the odd powers negative. Thus the square of +2« is +2aX +2a or +4^2; the square of —2a is — 2aX— 2a or +4a2 ; but the cube of —2a =—2a X —2a X —2a = +4a^ X — 2flr= —8a'.
The several powers of are, a a a^ a a a a^ a\ 2c a a b^y &c. =&c.
Ath power And the several powers of — — -j b b i?^ '2c Cubezz- Jb 2c pouter 2c &c.
What to read after An Elementary Treatise On Algebra?
You can find similar books in the "Read Also" column, or choose other free books by B Bewick Bridge to read onlineMoreLess
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