Unified Mathematics
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In our eReader you can find the full English version of the book. Read Unified 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 Unified Mathematics
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Illustration.
(z-3) 2 (y + 2) 2, (z-3) 2 (y + 2) 2 '- = 1 and * 4 = 1 are con- 16 49 16 49 jugate hyperbolas ; the second is written in standard form **-~ i L^ '- = 1, wherein the focal distances ae from 49 16 the center, and the distances - of the directrices from the e center (3, 2) are obtained, regarding o 2 as 49 and i 2 as 16.
The asymptotes of these conjugate hyperbolas are given by the equation i - isLJI L = 0, or by the equivalent in JLO ^rt/ separate factors, 7 fy> /A2 (y fc\2 The equ...ation ^ * *t '- = 0, representing two real straight lines, is a limiting form of the hyperbola equation, (x - h) 2 (y + fc) 2 b -t- = m. Asm approaches zero, - remains con- a 2 b 2 a stant and the hyperbola approaches more and more nearly the L. T x h 11 k n j x h . Y k n two straight lines = and 1- * : = 0.
THE HYPERBOLA 329 9. The equilateral or rectangu- lar hyperbola. The hyperbola 22 y2 - = 1 is called an equilat- a 2 a 2 eral hyperbola since b = a ; it is also called a rectangular hyper- bola as the asymptotes are at right angles to each other.
What to read after Unified Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Karpinski Louis Charles to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Illustration.
(z-3) 2 (y + 2) 2, (z-3) 2 (y + 2) 2 '- = 1 and * 4 = 1 are con- 16 49 16 49 jugate hyperbolas ; the second is written in standard form **-~ i L^ '- = 1, wherein the focal distances ae from 49 16 the center, and the distances - of the directrices from the e center (3, 2) are obtained, regarding o 2 as 49 and i 2 as 16.
The asymptotes of these conjugate hyperbolas are given by the equation i - isLJI L = 0, or by the equivalent in JLO ^rt/ separate factors, 7 fy> /A2 (y fc\2 The equ...ation ^ * *t '- = 0, representing two real straight lines, is a limiting form of the hyperbola equation, (x - h) 2 (y + fc) 2 b -t- = m. Asm approaches zero, - remains con- a 2 b 2 a stant and the hyperbola approaches more and more nearly the L. T x h 11 k n j x h . Y k n two straight lines = and 1- * : = 0.
THE HYPERBOLA 329 9. The equilateral or rectangu- lar hyperbola. The hyperbola 22 y2 - = 1 is called an equilat- a 2 a 2 eral hyperbola since b = a ; it is also called a rectangular hyper- bola as the asymptotes are at right angles to each other.
What to read after Unified Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Karpinski Louis Charles to read onlineMoreLess
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