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.
In the Ramayana, an ancient Indian epic depicting the vicissitudes of King Rama and his wife Sita while they lived in exile in the forest, the Laxman Rekha is an imaginary circle drawn around Sita's house to ensure her safety when her husband is away.
The show's title, "Sonde d'arc-en-taupe" a wordplay translating roughly to "Mole's Rainbow Ring," describes an imaginary circle linking the sky and the earth through the contiguous mirror-image arcs of a rainbow and a mole tunnel.
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.
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.