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" 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 530
by Henry Burchard Fine - 1904 - 595 pages
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UNITED STATES COAST AND GEODETIC SURVEY CARLILE P. PATTERSON SUPERINTENDENT ...

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...
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A College Algebra

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...
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Coordinate Geometry

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...
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Coordinate Geometry

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...
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Second-year Mathematics for Secondary Schools, Volume 2

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...
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Key to Standard Algebra and Standard Algebra-revised

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...
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College Algebra: With Applications

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...
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Analytic Geometry

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...
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High School Algebra Complete

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)...
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College Algebra

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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