 | American Mathematical Society - 1913 - 528 sivua
.../3 = =*= ( x — pi ) where pi is a small positive quantity, and such that no point of R lies within the circle whose center is at the origin and whose radius is p2 , where p* is another small positive quantity. Then, if <p (a, (3) is a function that is finite... | |
 | George Edward Atwood - 1909 - 278 sivua
...of the points where the graphs intersect or touch. r*8 + »8 = 26 (1) \xy= 1 (2) The graph of (1) is the circle whose center is at the origin and whose radius is 5. The graph of (2) is the straight line AB. ALGEBRA. Interpret other relations that the graphs of... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - 344 sivua
...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... | |
 | John Wesley Young, Frank Millett Morgan - 1917 - 586 sivua
...variables x and y are expressed, is called a parameter. For example, we see that the coordinates of any point P(x, y) on the circle whose center is at the origin and whose radius is r, can be expressed in the form x = r cos 0, (1) 'i, = rsin6, FIG. 230 where 6 is the angle XOP (Fig.... | |
 | William Fogg Osgood, William Caspar Graustein - 1921 - 650 sivua
...the line. CHAPTER IV THE CIRCLE 1. Equation of the Circle. According to Ch. I, § 7, the equation of the circle whose center is at the origin, and whose radius is /,, is In a precisely similar manner, the equation of a circle with its center at an arbitrary point... | |
 | Arthur McCracken Harding, George Walker Mullins - 1924 - 340 sivua
...(1) (x - *o)2 + (я - !Л,)2 = r'. > If xo = O, yo = 0, then (2) x2 + y2 = r\ This is the equation of the circle whose center is at the origin and whose radius is r. Equation (1) may be written in the form x' + y' - 2 xox - 2 yoy + xo2 + 2/o2 - r2 = 0. Hence the... | |
 | Research and Education Association - 1985 - 346 sivua
...equations in x and y, however, have graphs that are simple curves. • PROBLEM 18-11 Find the equation for the circle whose center is at the origin and whose radius is 3. Solution: A circle is the set of all points in a plane at a given distance from a fixed point. The... | |
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Consider the circle whose center is at the origin and whose radius is a: (1) * + y1 = a'. 