Hence, thought of as a line in a particular plane **yp, any tangent to Q has a unique image and moreover this image is the same for all planes through L.

Hence its image, C', meets any line of Af in Af points.

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.

Hence, with respect to an inertial frame, an object or body accelerates only when a physical force is applied, and ( following Newton's first law of motion ), in the absence of a net force, a body at rest will remain at rest and a body in motion will continue to move uniformly — that is, in a straight line and at constant speed.

Hence, an entire line of program code could express the same idea a small number of characters that other programming languages might easily take 5 to 10 times as many characters to express.

In poetry, a monometer is a line of verse with just one metrical foot, exemplified by this portion of Robert Herrick's " Upon His Departure Hence ":

Hence a tumour cell line might show a different genetic fingerprint from that of the host tissue.

Hence, the total length increases by one third and thus the length at step n will be ( 4 / 3 )< sup > n </ sup > of the original triangle perimeter: the fractal dimension is log 4 / log 3 ≈ 1. 26, greater than the dimension of a line ( 1 ) but less than Peano's space-filling curve ( 2 ).

Hence the line segment AB does not have to intersect line segment CD to be considered perpendicular lines, because if the line segments are extended out to infinity, they would still form congruent adjacent angles.

Hence the phrases " straight line " and " right line " were used to distinguish what are today called lines from " curved lines ".

Hence, the slope of this line yields, whereas its intercept is determined by.

Hence, they built the railway line though Lamy, instead.

Hence in Japan " The Transformers " did not debut under that brand till 1985, when the line was also rolled out to the majority of the rest of the world between Takara and Hasbro.

Hence, the outcome is either p < sub > i </ sub > or 1-p < sub > i </ sub >, as in the previous line.

Hence, when Holden decided to replace the successful full-size HZ Kingswood with a new model line, they designed the new car to be smaller and more fuel efficient.

Hence the line moved slowly, infantry and artillery firing on either side randomly.

Hence resources had been put into the Danevirke line and not into the flank positions, which stayed akin to battlefield fortifications rather than modern fortifications capable of withstanding a modern bombardment.

Hence defense along the Dannevirke line was, correctly, anticipated by the Danish high command to be a trap, in which its army would be surrounded and forced to give battle at hopeless odds.

Hence they cancel out each other to give minimum current in the main line.

Hence the line, ' I cry when angels deserve to die '.

Hence it was agreed internally to leave the more difficult locomotives until later, perhaps picking up the work when the volume of rolling stock and railway line abated.

Hence, such an appellate court will not consider an appellant's argument if it is based on a theory that is raised for the first time in the appeal.

" Hence an argument which claimed that the two parties could be viewed as " equally " culpable in a struggle for supremacy, would be advocating " moral equivalence.

Hence the argument is circular.

Hence the argument ...

Hence, an argument exists on the basis of strain identification.

Hence, the Qur ' an can be " the outcome of dialogue, debate, despite argument, acceptance and rejection ".

Hence Putnam cannot embrace realism without embracing classical logic, and hence his argument to endorse quantum logic because of realism about quanta is a hopeless case.

There is much more detailed comparative anatomy, leading to the same type of argument, for example: " Hence it is obvious that, greatly as the dentition of the highest ape differs from man, it differs far more widely from that of the lower and lowest apes " ( p101 ).

Hence, the function vanishes for all odd negative integral values of the argument.

Hence equity does not stop at granting equitable relief, but goes on to render a full and complete collection of remedies.

Hence, he used " we " as " God and I ...," or so the legend goes.

Hence music critic Piero Scaruffi argues that " credit for " inventing " jazz-rock goes to Indiana-born jazz vibraphonist Gary Burton, who " began to experiment with rock rhythms on The Time Machine ( 1966 )".

Hence the name Meithe Togmaill, Stoat Neck ” and when he kills Medb ’ s handmaid: “ He slung a stone at her from the heights of Cuincu and killed her on the flat place that bears her name, Reid Locha, Locha ’ s Level, in Cualinge ” Mebd ’ s behavior further illustrates the importance of the landscape when she goes to great lengths to permanently alter it to show her contempt for Ulster.

Hence any current entering the balun through the connection, which goes to the braid at the end with the connection to the pipe, will flow into the pipe.

Hence the first historical testimony goes back to the fifth century.

Hence as time goes on, and these distributional coalitions accumulate in greater and greater numbers, the nation burdened by them will fall into economic decline.

Hence, as Leon Trotsky remarked, the revolution should be " brought on bayonets " ( of the Red Army ), as " through Kiev leads the straight route for uniting with Austro-Hungarian revolution, just as through Pskov and Vilnius goes the way for uniting with German revolution.

Hence, even though the Nandi claim ' Cheptaab oreet age ne wendi oreet age ' literally ' a daughter from one clan goes to another clan and belongs in the new clan ', to mean a woman has no clan, the Tungo girls are permitted to retain their clan identity.

Hence, the dominant ideology that serves the interests of the ruling class, all the while appearing as ` neutral `, needs to be questioned and must not go unchallenged.

Hence there is some risk involved in chasing after suits that are not represented strongly by a few dominant high cards.

Hence the central provision under EU law asks whether a concentration would if it went ahead " significantly impede effective competition ... in particular as a result of the creation or strengthening of a dominant position ..."

Hence it serves as an intrinsic factor for population control, insuring adequate resources for the dominant individuals and thus preventing widespread starvation.

Hence, tropical climate is dominant all through the year with two distinct seasons namely the northeast monsoon from November to March and a dry southwest monsoon from June to October with the annual rainfall precipitation incidence varying in the range.

Hence, the special case of balancing the neutral colors ( sometimes gray balance, neutral balance, or white balance ) is a particularly important – perhaps dominant – element of color balancing.