An Elementary Course in Analytic Geometry
An Elementary Course in Analytic Geometry
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In our eReader you can find the full English version of the book. Read An Elementary Course in 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 An Elementary Course in Analytic Geometry
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. . (ft) multiply equation (a) by 3 and subtract the result from equation (ft) ; this gives x - y + 2 = 0, (y) as the equation of the common chord of the given circles.
This result may be verified by finding the points of intersection (Art. 39) of the circles (a) and (ft), and then writing the equation of the straight line through those two points.
Since the common chord of two circles intersects each of these circles in the points in which they intersect each other, therefore the points of int...ersection of two circles may be found by finding the points in which their common chord intersects either of them. E. G. , to find the points in which the circles (a) and (ft) intersect each other, it is only necessary to find the points in which (y) cuts either (a) or (ft)- 97. Radical axis ; radical center. The line whose equation is obtained by eliminating the x 2 and y 2 terms between the equations of two given circles, as in Art. 96, whether the circles intersect in real points or not, is called the radical axis of the two circles.
What to read after An Elementary Course in Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by J H John Henry Tanner to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. . (ft) multiply equation (a) by 3 and subtract the result from equation (ft) ; this gives x - y + 2 = 0, (y) as the equation of the common chord of the given circles.
This result may be verified by finding the points of intersection (Art. 39) of the circles (a) and (ft), and then writing the equation of the straight line through those two points.
Since the common chord of two circles intersects each of these circles in the points in which they intersect each other, therefore the points of int...ersection of two circles may be found by finding the points in which their common chord intersects either of them. E. G. , to find the points in which the circles (a) and (ft) intersect each other, it is only necessary to find the points in which (y) cuts either (a) or (ft)- 97. Radical axis ; radical center. The line whose equation is obtained by eliminating the x 2 and y 2 terms between the equations of two given circles, as in Art. 96, whether the circles intersect in real points or not, is called the radical axis of the two circles.
What to read after An Elementary Course in Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by J H John Henry Tanner to read onlineMoreLess
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