For if we picture complex numbers by points in a plane in the manner described in § 238 and draw a circle whose center is at the origin and whose radius is... A College Algebra - Page 530by Henry Burchard Fine - 1904 - 595 pagesFull view - About this book
| THOMAS CRAIG - 1882
...have If there results and consequently From these it is obvious that £ and ^ satisfy the equation of **a circle whose center is at the origin, and whose radius is** = w$ these are, therefore, the conditions for the projection of a cone by actual development. If the... | |
| Henry Burchard Fine - Algebra - 1904 - 595 pages
...to construct a series in which X = 0 ; for example, the series ж + 2 ! ж2 + 3 I ха + • • -. **What we have called the limit of convergence is more...in the manner described in § 238 and draw a circle** whoso center is at the origin and whose radius is X, the series Oo + a\x + • • • will converge... | |
| Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 300 pages
...becomes a?/a? + ?/2/a2 = 1, or y? -\- 3/2 = a2, which, as has already been seen [§ 43], represents **a circle whose center is at the origin and whose radius is** a. Since e2 = 1 — a2/a2 = 0, a circle may be regarded as the limiting case of an ellipse whose eccentricity... | |
| Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 300 pages
...becomes of/a2 + 2/2/a2 = 1, or ж2 -)- y2 = a2, which, as has already been seen [§ 43], represents **a circle whose center is at the origin and whose radius is** a. Since e2 = 1 — a2/a2 = 0, a circle may be regarded as the limiting case of an ellipse whose eccentricity... | |
| George William Myers - Mathematics - 1910 - 282 pages
...y=±3 y=o. £fc FIG. 287 Plotting these solutions (Fig. 287) we find that the graph of x2+y2 = 25 is **a circle whose center is at the origin and whose radius is** 1/25, or 5. 240 of the equation is 25, eg, O PI2=*2+),2 = 25. Hence OP = 5. Moreover, a line every... | |
| William James Milne - 1915
...equation and from plotting points as in § 422, exercise 1, the graph of x2 + y2 = 26 is found to be **a circle whose center is at the origin and whose radius is** equal to V26. By solving x2y + y = 26 for y, substituting positive and negative values for x, solving... | |
| Ernest Julius Wilczynski - Algebra - 1916 - 507 pages
...of a circle whose center is 0 and whose radius is equal to a. Therefore, the graph of (5) is indeed **a circle whose center is at the origin and whose radius is** equal to a. When k is not equal to unity, the graph of (4) is called an ellipse. The line-segments... | |
| Maria M. Roberts, Julia Trueman Colpitts - Geometry, Analytic - 1918 - 245 pages
...(y — A)2 = r2. Second standard equation of circle. Center at origin, radius r. — The equation of **a circle whose center is at the origin and whose radius is** r is *8+y = rs. (18) Proof. — Substituting h = 0 and k = 0, in equation (17), it reduces to equation... | |
| Marquis Joseph Newell, George Andrew Harper - 1920 - 401 pages
...certain types of curves from the appearance of the equations, for example, (1) The curve x*+y2 = г2 is **a circle whose center is at the origin and whose radius is** r. (2) The curve (x— o)2 + (у— b)2 = ia is a circle whose center is at the point (x = a, y = b)... | |
| Henry Burchard Fine - Mathematics - 18?? - 631 pages
...is possible to construct a series in which X = 0 ; for example, the series x + 2 ! x" + 3 l x» H . **What we have called the limit of convergence is more...whose center is at the origin and whose radius is** X, the series Oo + o.\x + • • • will converge for all values of x whose graphs lie within the... | |
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