Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.

Hence it follows that the involution within the bundle must be a perspective De Jonquieres involution of order Af and the invariant locus must have a multiple line of multiplicity either Af or Af.

If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.

The eastern city limits coincide with the county line ( bordering Contra Costa County ), which generally follows the ridge line of the Berkeley Hills.

The stereotyped plot line follows the " boy-gets-girl ", " boy-loses-girl ", " boy gets girl back again " sequence.

Intuitively, the process can be pictured as follows: first shrink the real line to the open interval (- π, π ) on the x-axis ; then bend the ends of this interval upwards ( in positive y-direction ) and move them towards each other, until you get a circle with one point ( the topmost one ) missing.

For some subjects a numerical geographical subdivision follows the classification letters on the first line.

The corners are named as follows ( the numbers correspond to the image above, starting at the start / finish line ):

The fall line approximately follows the Robert Kirkwood Highway between Newark and Wilmington ; south of this road is the Atlantic Coastal Plain with flat, sandy, and, in some parts, swampy ground.

Thus the dactylic line most normally looks as follows:

The ideal Diesel cycle follows the following four distinct processes ( The color references refer to the color of the line on the diagram.

Bede gives the line of descent as follows: " Ethelbert was son of Irminric, son of Octa, and after his grandfather Oeric, surnamed Oisc, the kings of the Kentish folk are commonly known as Oiscings.

John Gillingham, author of a major biography of Richard I, follows this line too, although he considers John a less effective general than do Turner or Warren ; Bradbury takes a moderate line, but suggests that in recent years modern historians have been overly lenient towards John's numerous faults.

It follows that to calculate latency of a connection, one has to know the distance traveled by the fiber, which is rarely a straight line, since it has to traverse geographic contours and obstacles, such as roads and railway tracks, as well as other rights-of-way.

This is a set of three propositions, each line is a proposition, and the last follows from the rest.

A crinkle-crankle wall is a brick wall that follows a serpentine path, rather than a straight line.

The andesite line follows the western edge of the islands off California and passes south of the Aleutian arc, along the eastern edge of the Kamchatka Peninsula, the Kuril Islands, Japan, the Mariana Islands, the Solomon Islands, and New Zealand's North Island.

The analogy of the divided line immediately follows another Platonic metaphor, that of the sun, and is in turn followed by the Allegory of the Cave.

( Normally, a sea baseline follows the low-water line, but when the coastline is deeply indented, has fringing islands or is highly unstable, straight baselines may be used.

But simply, play proceeds as follows: a player on one of the teams begins a ' rally ' by serving the ball ( tossing or releasing it and then hitting it with a hand or arm ), from behind the back boundary line of the court, over the net, and into the receiving team's court.

Evidence of this comes from the border between Hampshire and Berkshire, which generally follows the line of the Roman road that ran east and west through Silchester, but is deflected in the north in a rough semicircle, in such a way as to include the whole district around the town.

In the line of succession, Galba follows Nero.

Alternatively, it can be defined as the region where the average temperature for the warmest month ( July ) is below ; the northernmost tree line roughly follows the isotherm at the boundary of this region.

so that a line running down the length of the South marking the upper limits of tidewater would roughly divide the Old South from the new, but with, of course, important minority enclaves.

The area between the east and west coast highlands, which north of 17 ° N is mainly desert, is divided into separate basins by other bands of high ground, one of which runs nearly centrally through North Africa in a line corresponding roughly with the curved axis of the continent as a whole.

The main symmetrical axis of the city is along ANZAC Parade and roughly on the line between Mount Ainslie and Bimberi Peak.

A second inner line of four frigates was positioned approximately west of the main line, roughly halfway between the line and the shoal.

alt = Plan illustrating a line of shoals running roughly north to south.

Breton is spoken in Lower Brittany, roughly to the west of a line linking Plouha and La Roche-Bernard ( east of Vannes ).

The size of this energy bandgap serves as an arbitrary dividing line ( roughly 4 eV ) between semiconductors and insulators.

Following its defeat at the Battle of Gazala in June 1942, the British Eighth Army had retreated from the Gazala line to Mersa Matruh, roughly inside the Egyptian border.

However, AT & T in most states ( especially the former SBC / SWB territory ) will still install an ISDN BRI line anywhere a normal analog line can be placed and the monthly charge is roughly $ 55.

The Indo-Pakistani War of 1947 established the rough boundaries of today, with Pakistan holding roughly one-third of Kashmir, and India one-half, with a dividing line of control established by the United Nations.

These various structures reinforced a principal line of resistance, made up of the most heavily armed " ouvrages ", which can be roughly translated as fortresses or major defensive works.

The Caltrain commuter rail line runs roughly parallel to the El Camino Real ( State Route 82 ) and Highway 101 corridors.

In January 1895 a boundary agreement was signed in Paris, roughly fixing the line between French Guinea and Sierra Leone.

The size of this energy gap ( bandgap ) determines whether a material is conductor or an insulator ( nominally this dividing line is roughly 4 eV ))

Picking a random x position Uniform distribution ( continuous ) | uniformly on this number line, roughly 30 % of the time the first digit of the number will be 1.

Seabed survey shows that when the sea level was lower in the Ice Age the River Solent continued the line of the eastern Solent ( Spithead ) to a point roughly due east of the east end of the Isle of Wight and due south of a point about 3 km west of Selsey Bill, and then south-south-west for about 30 km, and then south for about 14 km, and then joined the main river flowing down the dry bed of the English Channel.

Also, roughly every seventh residue is a leucine, so they can line up and help the strands stick together through hydrophobic interactions.

The treaty established an imaginary line along a north-south meridian 370 leagues west of Cape Verde Islands, roughly 46 ° 37 ' W. In terms of the treaty, all land to the west of the line ( which is now known to include most of the South American soil ), would belong to Spain, and all land to the east, to Portugal.

In this line of thinking, the words curelom and cumom were transliterated instead of translated, meaning that while the ancient word is roughly transmitted, the actual animal intended is ambiguous.

In modern-day digital terminology, NTSC VHS is roughly equivalent to 333x480 pixels luma and 40x480 chroma resolutions ( 333x480 pixels = 159, 840 pixels or 0. 16MP ( 1 / 6 of a MegaPixel ))., while PAL VHS offers the equivalent of about 335x576 pixels luma and 40x240 chroma ( the vertical chroma resolution of PAL is limited by the PAL color delay line mechanism ).