Since C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.

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.

Since the demise of Commodore, various groups have marketed successors to the original Amiga line, including Genesi, Eyetech, ACube Systems and A-EON Technology, and AmigaOS has influenced replacements, clones and compatible systems such as MorphOS, AmigaOS 4 and AROS.

Since the passage of the Act of Settlement, the most senior member of the Royal Family to have married a Roman Catholic, and thereby been removed from the line and later lines of succession, is Prince Michael of Kent, who married Baroness Marie-Christine von Reibnitz in 1978 ; he was fifteenth in the lines of succession at the time of his marriage.

Since its introduction at games by the " Roar from 34 ", led by Wild Bill Hagy and others, in the late 1970s, it has been a tradition at Orioles games for fans to yell out the " Oh " in the line " Oh, say does that Star-Spangled Banner yet wave " in " The Star-Spangled Banner ".

Since there is no heir to inherit Elimelech's land, levirate custom required a close relative ( usually the dead man's brother ) to marry the widow of the deceased in order to continue his family line ( Deuteronomy 25: 5 – 10 ).

Since polyphonic texture was no longer the main focus of music ( excluding the development section ) but rather a single melodic line with accompaniment, there was greater emphasis on notating that line for dynamics and phrasing.

Since longer symmetric keys require exponentially more work to brute force search, a sufficiently long symmetric key makes this line of attack impractical.

Since tangents and inverse tangents are both continuous, our identification function is a homeomorphism between the real line and the unit circle without ∞.

Since 1881, pitchers had pitched within a " box " whose front line was from home base, and since 1887 they had been compelled to toe the back line of the box when delivering the ball.

Since then, the Presario was rebranded under HP's laptop computer line as the HP 2000 series.

Since Mountbatten had no sons, when he was created Viscount Mountbatten of Burma of Romsey in the County of Southampton on 27 August 1946 and then Earl Mountbatten of Burma and Baron Romsey in the County of Southampton on 28 October 1947, the Letters Patent were drafted such that in the event he left no sons or issue in the male line, the titles could pass to his daughters, in order of seniority of birth, and to their heirs male respectively.

Since real numbers can be represented as distances or intervals on a line, the slide rule was invented in the 1620s to allow multiplication and division operations to be carried out significantly faster than was previously possible.

Since Edith was also the niece of Edgar the Ætheling and the great-granddaughter of Edmund Ironside ( the half-brother of Edward the Confessor ) the marriage united the Norman line with the old English line of kings.

Since the introduction of firearms classifications have changed initially to reflect their formations on the battlefield as line infantry, and later to reflect modes of transport and type of tactics used by specific units as Mechanized infantry or airborne infantry.

Since Raymond was his nearest relative in the male line with a strong claim to the throne, there was concern about the extent of his ambitions, although he had no direct heirs of his own.

Since the introduction of the original Lomo LC-A, Lomography has produced and marketed an entire line of their own analog cameras.

Since higher wages increase the quantity supplied, the supply of labor curve is upward sloping, and is shown as a line moving up and to the right.

Since MUMPS allows commands to be strung together on the same line, and since commands can be abbreviated to a single letter, this routine could be made more compact:

Since the 1970s, the tea industry in Taiwan has expanded at a rapid rate, in line with the rest of Taiwan's economy.

Since G is the midpoint of line FQ, this means that

Since the city authorities would not allow the new line to breach the customs wall, still standing at the time, it had to stop just short, at Potsdamer Platz, but it was this that kick-started the real transformation of the area, into the bustling focal point that Potsdamer Platz would eventually become.

Since 1944 he has also conducted regularly at the San Francisco Opera, where he made his debut with a memorable performance of Verdi's Falstaff.

Since a civilizational crisis involves also a crisis in private interests and in the ruling class, reaction is normally found among those who feel themselves to be among the ruling class.

Since the Connally amendment has the effect of giving the same right to the other party to a dispute with the United States, it also prevents us from using the court effectively.

Since then, there has been a notable increase in the number of stations and also the accumulation of additional data and the development of new techniques for using it, leading to a better understanding of propagation phenomena.

Since you contributed more than half of his support, you may also claim an exemption for him on your return.

Since the sides are also covered up to the spray rails, they are also rough-sanded in that area.

Since marginal costs rise when the wage rate rises, the profit-maximizing price also rises when the public-limit price is elevated, and is likely to remain well above the latter.

Since she also has considerable technical virtuosity and a feeling for music in the romantic tradition, Miss Xydis gave her listeners a good deal of pleasure.

Since perforated tape at the time could record eight bits in one position, it also allowed for a parity bit for error checking if desired.

Since the administrative reforms in Bavaria in the 1970s, the town also encompasses the following Ortsteile:

Since tomatoes are New World plants, they are also fairly new to China and Chinese cuisine.

Since 1977, New Zealand has celebrated Arbor Day on June 5, which is also World Environment Day, prior to then Arbor Day, in New Zealand, was celebrated on August 4 – which is rather late in the year for tree planting in New Zealand hence the date change.

Since 2000, there have also been complete recordings issued or re-issued of the operas Axur Re d ' Ormus, Falstaff, Les Danaïdes, La Locandiera, La grotta di Trofonio, Prima la musica e poi le parole and Il mondo alla rovescia.

Since “ a cappella ” singing brought a new polyphony with instrumental accompaniment, it is not surprising that Protestant reformers who opposed the instruments ( such as Calvin and Zwingli ) also opposed the polyphony.

Since 2002 she has also made numerous television and radio appearances, including as a television presenter.

Since the speed of sound varies with temperature, and is virtually stable with pressure change, sonic anemometers are also used as thermometers.

Since the Oxford Movement there has also been a modest flourishing of Benedictine monasticism in the Anglican Church and Protestant Churches.

Since many bowls look the same, coloured, adhesive stickers or labels are also used to mark the bowls of each team in bowls matches.

Since its inception Beechcraft has resided in Wichita, Kansas, also the home of chief competitor Cessna, the birthplace of Learjet and of Stearman, whose trainers were used in large numbers during WW2.

Since the early 20th century it has been commonly accepted that Old Irish Bel ( l ) taine is derived from a Common Celtic * belo-te ( p ) niâ, meaning " bright fire " ( where the element * belo-might be cognate with the English word bale in ' bale-fire ' meaning ' white ' or ' shining '; compare Anglo-Saxon bael, and Lithuanian / Latvian baltas / balts, found in the name of the Baltic ; in Slavic languages byelo or beloye also means ' white ', as in Беларусь ( White Russia or Belarus ) or Бе ́ лое мо ́ ре Sea ).

Since, in the same verse, the temple has been rebuilt, the book must also be later than 515 BCE.

Since the 1950s, Prince Philip has also added herbaceous borders and a water garden.

Since 1982 the comic, along with The Dandy, has also run " Comic Library " titles.

Since 1995, Costas has also hosted NBC's coverage of the U. S. Open golf tournament.