Analytic Geometry for Technical Schools And Colleges
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In our eReader you can find the full English version of the book. Read Analytic Geometry for Technical Schools And Colleges 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 Analytic Geometry for Technical Schools And Colleges
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Let the pole A' referred to the rectangular coordinates be (m, n), 6' the angle made by the polar axis with the X-axis. Then X = AD = m + r cos (6 + 6'), y = PD = n + r sin (d + 6').
When the pole is at the origin, and the polar axis coincides with the X-axis, these formulas be- come X = r cos 6, y — r sin $.
If the polar equation of a geometric figure is given and the rectangular equation is desired, find the values of the polar coordinates r and 6 of any point in terms of the rectan- 80 ANALY...TIC GEOMETRY gular coordinates x and y of the same point ; substitute in the polar equsition F(r, 6) = 0, and the resulting equation /(a;, ?/)=:0 is the rectangular equation of the curve. From the figure X — m r = y/{x - my +{y- w)^ cos (6 + 6') = sin(^ + ^')- •'~'" ^{x - mf + (2/ - ?0' V(. X'-m/+(y-n)^ When the origin is at the pole, and the X-axis coincides with the polar axis, these formulas become r — V. V- + ]j\ cos Q = ^ sin 9 = • VaT- + y- Var + y- Problems. — Transform from rectangular coordinates to polar, pole at origin, polar axis coinciding with A'-axis, and plot the locus from both equations.
What to read after Analytic Geometry for Technical Schools And Colleges?
You can find similar books in the "Read Also" column, or choose other free books by Preston Albert Lambert to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Let the pole A' referred to the rectangular coordinates be (m, n), 6' the angle made by the polar axis with the X-axis. Then X = AD = m + r cos (6 + 6'), y = PD = n + r sin (d + 6').
When the pole is at the origin, and the polar axis coincides with the X-axis, these formulas be- come X = r cos 6, y — r sin $.
If the polar equation of a geometric figure is given and the rectangular equation is desired, find the values of the polar coordinates r and 6 of any point in terms of the rectan- 80 ANALY...TIC GEOMETRY gular coordinates x and y of the same point ; substitute in the polar equsition F(r, 6) = 0, and the resulting equation /(a;, ?/)=:0 is the rectangular equation of the curve. From the figure X — m r = y/{x - my +{y- w)^ cos (6 + 6') = sin(^ + ^')- •'~'" ^{x - mf + (2/ - ?0' V(. X'-m/+(y-n)^ When the origin is at the pole, and the X-axis coincides with the polar axis, these formulas become r — V. V- + ]j\ cos Q = ^ sin 9 = • VaT- + y- Var + y- Problems. — Transform from rectangular coordinates to polar, pole at origin, polar axis coinciding with A'-axis, and plot the locus from both equations.
What to read after Analytic Geometry for Technical Schools And Colleges?
You can find similar books in the "Read Also" column, or choose other free books by Preston Albert Lambert to read onlineMoreLess
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