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Page "Group isomorphism" ¶ 14
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lines and connecting
The lines connecting the wedge-shaped dogs represent the locking bars at right angles to the tappet bars.
Only larger BBSs with multiple phone lines using specialized hardware, multitasking software, or a LAN connecting multiple computers, could host multiple simultaneous users.
The polygon formed by connecting the Bézier points with lines, starting with P < sub > 0 </ sub > and finishing with P < sub > n </ sub >, is called the Bézier polygon ( or control polygon ).
These bonds exist between two particular identifiable atoms, and have a direction in space, allowing them to be shown as single connecting lines between atoms in drawings, or modeled as sticks between spheres in models.
The Digital Private Network Signalling System ( DPNSS ) is a network protocol used on digital trunk lines for connecting two PABX.
Players earn victory points for connecting their settlements with settlements ( not necessarily theirs ) from the opposite island using ships, or to another player's shipping lines which connect two settlements together.
Archibald Scott Couper independently arrived at the idea of self-linking of carbon atoms ( his paper appeared in June 1858 ), and provided the first molecular formulas where lines symbolize bonds connecting the atoms.
In 1857 Nepveu negotiated a contract to build a railway bridge over the river Garonne at Bordeaux, connecting the Paris-Bordeaux line to the lines running to Sète and Bayonne, which involved the construction of a iron girder bridge supported by six pairs of masonry piers on the river bed.
The city is also a major crossing point of railway lines and highways ( Autobahnen ), connecting European main lines in east-west-direction ( Berlin-Ruhr area ) and north-south-direction ( Hamburg-Munich et al.
High-speed rail in Italy currently consists of two lines connecting all the country's major cities.
Taken together, the Preface could connect with the first half of the poem to suggest that the poem is from the view of a dreaming narrator, or it could connect with the second half of the poem to show how a reader is to interpret the lines by connecting himself with the persona in a negative manner.
However, substantial investments have been made in building new railway lines since 2003, with the goal of connecting Chişinău to southern Moldova and eventually to the Giurgiuleşti oil terminal.
Also, concept maps typically have text labels on their connecting lines / arms.
A UML diagram or a semantic network has structured elements modelling relationships, with lines connecting objects to indicate relationship.
A diagram showing the reflective property, the directrix ( solid green ), and the lines connecting the focus and directrix to the parabola ( blue )
The trenches connecting the various lines of the besiegers could not be built perpendicular to the walls of the fortress, as the defenders would have a clear line of fire along the whole trench.
Great circles through the two poles are called lines ( or meridians ) of longitude, and the line connecting the two poles is called the axis of rotation.
To this end, Beck devised a simplified map, consisting of stations, straight line segments connecting them, and the River Thames ; lines ran only vertically, horizontally, or on 45 degree diagonals.
Another way to look at the effect of twisting the field lines is that the electric field between the top and the bottom of the torus, which tends to cause the outward drift, is shorted out because there are now field lines connecting the top to the bottom.
Rail transport in Venezuela has been practically non-existent since the 1950s ( with only one line operating ), but the IAFE is currently working on several lines, hopefully connecting most of Venezuela via railway by 2020, which, if achieved, would lead to a significant improvement in the countries ' transport infrastructure.
Construction on the two new lines connecting San Juan de los Morros to San Fernando de Apure and connecting Chaguaramas to Cabruta is expected to begin in Q2 2006 and is expected to take six years to complete.

lines and three
For each of these lines meets Q in three points, namely two points on **zg and one point on one of the multiple secants.
There are three separate railway lines in Angola:
Reconstruction of these three lines began in 2005 and is expected to be completed by the end of the year 2012.
The character only has three lines in the film.
The three Viking ships afloat attempted to break through the English lines.
Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensions.
Belarus is a member of the Trans-European Line ( TEL ), Trans-Asia-Europe Fibre-Optic Line ( TAE ) and has access to the Trans-Siberia Line ( TSL ); three fibre-optic segments provide connectivity to Latvia, Poland, Russia, and Ukraine ; worldwide service is available to Belarus through this infrastructure ; additional analogue lines to Russia ; Intelsat, Eutelsat, and Intersputnik earth stations
The network currently includes four high speed lines, three operating up to, and one up to.
Pompey deployed his army in the traditional formation of three lines with a depth of ten men.
Caesar also deployed in three lines but could only set them to six men deep if he was to match the length of Pompey's line.
Thus, an outdoors utility knife suited for camping or hunting might use a broad three to five-inch fixed blade, while a utility knife designed for the construction industry might feature a replaceable utility or razor blade for cutting packaging, cutting shingles, marking cut lines, or scraping paint.
* In Iliad 9. 165-93 three characters, Phoinix, Odysseus, and Aias set out on an embassy to Achilleus ; however, at line 182 the poet uses a verb in the dual form to indicate that there are only two people going ; at lines 185ff.
Gauss's method involved determining a conic section in space, given one focus ( the Sun ) and the conic's intersection with three given lines ( lines of sight from the Earth, which is itself moving on an ellipse, to the planet ) and given the time it takes the planet to traverse the arcs determined by these lines ( from which the lengths of the arcs can be calculated by Kepler's Second Law ).
The Entablature is divided into three horizontal registers, the lower part of which is either smooth or divided by horizontal lines.
; Field goal: Scored by a drop kick or place kick ( except on a kickoff ) when the ball, after being kicked and without again touching the ground, goes over the cross bar and between the goal posts ( or between lines extended from the top of the goal posts ) of the opponent's goal, worth three points.
The Canadian Senate is structured along regional lines, giving an equal number of seats ( 24 ) to the Maritimes, Ontario, Quebec, and western Canada, in addition to the later entry of Newfoundland and Labrador, as well as the three territories.
One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes ( or, equivalently, by its perpendicular projection onto three mutually perpendicular lines ).
A three dimensional Cartesian coordinate system, with origin O and axis lines X, Y and Z, oriented as shown by the arrows.
Choosing a Cartesian coordinate system for a three-dimensional space means choosing an ordered triplet of lines ( axes ), any two of them being perpendicular ; a single unit of length for all three axes ; and an orientation for each axis.
The coordinates of a point p are obtained by drawing a line through p perpendicular to each coordinate axis, and reading the points where these lines meet the axes as three numbers of these number lines.

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