imaginary circle

imaginary circle

[i¦maj·ə‚ner·ē ′sər·kəl]
(mathematics)
The set of points in the x-y plane that satisfy the equation x 2+ y 2= -r 2, or (x - h)2+ (y - k)2= -r 2, where r is greater than zero, and x, y, h, and k are allowed to be complex numbers.
References in classic literature ?
He drew an imaginary circle on the stones of the roof, and burnt a pinch of powder in it, which sent up a small cloud of aromatic smoke, whereat everybody fell back and began to cross themselves and get un- comfortable.
It is an imaginary circle which by pure rolling action would give the same motion as the gear.
He infuriates and compels, attracts and repels, drawing you into an imaginary circle of intimacy only to subject you to his intimidating presence.
If you draw an imaginary circle through this range, and then continue along other isolated mountains east of the craters Mersenius and Liebig, you will find that the extrapolated circle passes along the straight Rupes Kelvin scarp on the southwestern side of the mare.
What name is given to the imaginary circle round the Earth at a latitude just over 66 degrees north?
To succeed in life," my grandfather likes to say as he slowly draws an imaginary circle on his palm, "you need to be smart.
She expressed some weariness of the recent economic woes, but nonetheless smiled and gestured an imaginary circle of energy around her with her hands.
But I guess what perfection means to me is a kind of facility with whatever my character is supposed to do -- and a hope to draw that imaginary circle, whatever that idea is.
When setting up to call in a gobbler, I establish an imaginary circle around my position by ranging various natural landmarks--a tree stump out front, a big rock to my left, a dogwood tree to my right, or whatever.