The stars move across the inner surface of the celestial sphere along the circumferences of circles in parallel planes perpendicular to the Earth's axis extended indefinitely into the heavens and intersecting the celestial sphere in a celestial pole.

After being developed, the plate showed a large number of well-defined spots arranged in a pattern of intersecting circles around the spot produced by the central beam.

She saw every relationship as a pair of intersecting circles.

The segment is bisected by drawing intersecting circles of equal radius, whose centers are the endpoints of the segment and such that each circle goes through one endpoint.

John Bonham's three intersecting circles sigil for the Led Zeppelin IV album

Tycho and his followers revived the ancient Stoic philosophy instead, since it used fluid heavens which could accommodate intersecting circles.

* If the circles k and q are orthogonal, then a straight line passing through the center O of k and intersecting q, does so at inverse points with respect to k.

Hugo Rahner summarized the significance: " The two great circles of the heavens, the equator and the ecliptic, which, by intersecting each other form a sort of recumbent chi and about which the whole dome of the starry heavens swings in a wondrous rhythm, became for the Christian eye a heavenly cross.

The vesica piscis is a shape that is the intersection of two circles with the same radius, intersecting in such a way that the center of each circle lies on the perimeter of the other.

The multi-tiered motif of the CCM is the balance scales, superimposed, for gold, on two intersecting circles ; for platinum, a diamond shape and for silver a mark in the shape of the Latin letter " M ".

Crosshairs are most commonly represented as intersecting lines in the shape of a cross, "+", though many variations exist, including dots, posts, circles, scales, chevrons, or a combination of these.

The interior is empty, but a symbol consisting of five intersecting circles, which Roney identifies as the occult pentagram, is found etched on an interior wall which appears to hide an inner chamber.

In his formula " technique of intersecting circles ", he created an approximation of the arc of a circle s given the diameter d, sagita v, and length of the chord c subtending the arc, the length of which he approximated as s = c + 2v < sup > 2 </ sup >/ d.

The building comprises a two storey library surrounded by trees and landscaped terraces, with cavity brick lower floor, the structure is formed by three intersecting circles.

From the ambulatory there is access to two chapels of unusual shape, the plan of each being based on two intersecting circles.

Victor J. Katz writes that in Shen's formula " technique of intersecting circles ", he created an approximation of the arc of a circle s by s = c + 2v < sup > 2 </ sup >/ d, where d is the diameter, v is the versine, c is the length of the chord c subtending the arc.

The symbol used is a wiccan form of the Flower of Life and consists of three intersecting circles ( See tripod of life ).

The Vesica Piscis is formed from two intersecting circles of the same diameter, where the center of each circle is on the circumference of the opposite circle.

Referring to Figure 3, the radical axis ( red ) is perpendicular to the blue line segment joining the centers B and V of the two given circles, intersecting that line segment at a point K between the two circles.

It serves as a commuter route, intersecting several major east-west routes.

In Paducah, U. S. 45 serves as a major artery, intersecting with Interstate 24 at exit 7, and intersecting US 60 and 62.

The marsh, with its intersecting tidal streams and rivers, provides excellent natural habitat for birds and mammals and serves as a nursery for marine organisms, and provides sporting or commercial value.

For example, the slope of the secant intersecting y = x < sup > 2 </ sup > at ( 0, 0 ) and ( 3, 9 ) is 3.

Scholars note ; " For example, citing again the passage intersecting with Rabin: that passage is from Deuteronomy 4: 42, but Drosnin ignores the words immediately following " a murderer who will murder.

Already in this example whole sets have ill-defined mappings: taking a point P on Q as origin, we can use lines through P, intersecting Q at one other point, to project to a plane — but this definition breaks down with all lines tangent to Q at P, which in a certain sense ' blow up ' P into the intersection of the tangent plane with the plane to which we project.

As an example of the first failure, reducibility, is not degenerate ( it defines a hyperbola ), but is degenerate because it is reducible – it factors as, and corresponds to two intersecting lines or an " X ".

For example an algebraic curve C either meets a given line L in a finite number of points, or possibly contains all of L. Thus a curve intersecting any line in an infinite number of points, while not containing it, must be transcendental.

The benefit is obvious, for example, for objects that rest upon other, such as a car resting on the ground: a bounding sphere would show the car as possibly intersecting with the ground, which then would need to be rejected by a more expensive test of the actual model of the car ; a bounding box immediately shows the car as not intersecting with the ground, saving the more expensive test.

For example, some researchers have relied on two-step upconversion within a rare earth-doped material when illuminated by intersecting infrared laser beams of the appropriate frequencies.

For example, a set of points on a line in n-space transforms to a set of polylines ( or curves ) in parallel coordinates all intersecting at n − 1 points.

An example of an ambiguous image would be two curving lines intersecting at a point.

Since a query may return all intervals, for example if the query is a large interval intersecting all intervals in the collection, this is asymptotically optimal ; however, we can do better by considering output-sensitive algorithms, where the runtime is expressed in terms of m, the number of intervals produced by the query.

For example, in two dimensions, the bottom of the square R ( or any other horizontal line intersecting R ) would be queried against the interval tree constructed for the horizontal axis.

Embedding a graph in a surface means that we want to draw the graph on a surface, a sphere for example, without two edges intersecting.

For example, just intersecting a cone with scene geometry leads to an enormous variety of possible results.

# On directional signs on intersecting routes, to guide traffic entering the freeway ( example US-3 in gallery )

Because the modern musical tends to be published in two separate but intersecting formats ( i. e., the book and lyrics, with all the words, and the piano-vocal score, with all the musical material, including some spoken cues ), both are needed in order to make a thorough reading of an entire show.

He is the author of one of the most important treatises on algebra written before modern times, the Treatise on Demonstration of Problems of Algebra, which includes a geometric method for solving cubic equations by intersecting a hyperbola with a circle.

Unlike a modern roundabout, the circle is quite large, pedestrians have access to the center island, lane changes can be made in the circle, and the intersecting streets are at 90 degree angles.

The five-light east window is 13th century but its present intersecting tracery is a modern replacement.

The portion of Beacon Street west of Kenmore Square was laid out in 1850, intersecting with Avenue Street ( now the Allston portion of Commonwealth Avenue ), Mill Dam Road ( now Brookline Avenue ), and Western Avenue, a road traversing the Back Bay mill dam in approximately the modern location of Beacon Street.