Elements of Analytic Geometry
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In our eReader you can find the full English version of the book. Read Elements of Analytic Geometry 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 Elements of Analytic Geometry
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To quickly assess the difficulty of the text, read a short excerpt:
Then have ^'^ PQ ^ PE cos e. (a) Y P K\ / 5>r "^ /Q M.
THE STRAIGHT LINE. 45 Now R is a point on tlie line whose abscissa is the same as that of P, namely, x'] and if we put RM = y^ = the ordi- nate of R, we must have, since R is on the line, Ax^ -{. Bt/, -^ C = 0, , . , . Ax' -i- C which gives y^ = h • Then PR = PM - RM = y' - y^ _B£_ _ Ax' -{. By' -^r O ~ B ^' ~ B Substituting in {a) this value of PR and the value of cos e from (13), we have ^ VA' -{- B' ^ ^ Since the co-ordinates of the orig...in are x' = and y' = 0, we have OQ' =, ^ -- (15) VA' -{- B' ^ ^ which gives the perpendicular from the origin on the line.
EXERCISES.
Find, for each of the lines represented by the following equations, — The angle which it makes with the axis of X; Its intercepts upon the axes; Its distance from the point (4, 3); Its least distance from the origin; The length of that portion, intercepted between the axes.
1. 3a; + 4?/ + 10 = 0. 2. Sx + 4?/ - 10 = 0.
3. 6x — 12y 4- 26 = 0. 4. A; + ?/ = 0.
5.
What to read after Elements of Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Newcomb Simon to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Then have ^'^ PQ ^ PE cos e. (a) Y P K\ / 5>r "^ /Q M.
THE STRAIGHT LINE. 45 Now R is a point on tlie line whose abscissa is the same as that of P, namely, x'] and if we put RM = y^ = the ordi- nate of R, we must have, since R is on the line, Ax^ -{. Bt/, -^ C = 0, , . , . Ax' -i- C which gives y^ = h • Then PR = PM - RM = y' - y^ _B£_ _ Ax' -{. By' -^r O ~ B ^' ~ B Substituting in {a) this value of PR and the value of cos e from (13), we have ^ VA' -{- B' ^ ^ Since the co-ordinates of the orig...in are x' = and y' = 0, we have OQ' =, ^ -- (15) VA' -{- B' ^ ^ which gives the perpendicular from the origin on the line.
EXERCISES.
Find, for each of the lines represented by the following equations, — The angle which it makes with the axis of X; Its intercepts upon the axes; Its distance from the point (4, 3); Its least distance from the origin; The length of that portion, intercepted between the axes.
1. 3a; + 4?/ + 10 = 0. 2. Sx + 4?/ - 10 = 0.
3. 6x — 12y 4- 26 = 0. 4. A; + ?/ = 0.
5.
What to read after Elements of Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Newcomb Simon to read onlineMoreLess
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