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, this line of argument goes, the objectively dominant effect would be the moral and economic damage due to the massive fear and panic such an incident would spur.

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 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, in 1946 Armstrong moved his headquarters from Eugene to Pasadena and on March 3, 1946, the Radio Church of God was officially incorporated within the state of California.

Hence, the substructure has been removed, and the bellows moved to the back of the instrument, where they are operated with one hand while the other plays the keyboard.

Hence, when the stone is moved, a greater frictional force would be produced ( more areas of contact means that more forces can be skewed, producing more horizontal components of the contact forces ).

Hence, the Swedish border was moved to the north in accordance with the wishes of Bestuzhev's faction.

Hence it follows, in the first place, that the world could only have come from God by creation ; secondly, that not even by way of a miracle can any finite nature be given creative power, which of itself directly attains the very being of any being ; and finally, that no created agent can in any way influence the being of any effect unless it has itself been moved by the first Cause .</ li >

Hence Sutcliffe more easily moved back while Hutton developed a forward style.

Hence, in 1786, Governadorcillo Juan Sabino moved the seat of government to Sitio Maganhup, a wide land between now Barangay Naile and Barangay San Jose.

Hence, for greater safety, the people settling in Tinago, now Tarangnan, moved to an interior site called Dapdap.

Hence many inhabitants moved to Campus Martius, a lower level part, where they could drink the water from the river Tiber.

Hence the production of a denormal number is sometimes called gradual underflow because it allows a calculation to lose precision slowly when the result is small.

Hence, the former had become competitors for the slowly diminishing Soviet resources.

Hence, as sphagnum moss grows, it can slowly spread into drier conditions, forming larger peatlands, both raised bogs and blanket bogs.

Hence it is important to remove the worm slowly ( over a period of weeks ).

Hence a Star is either 5 ' Mechs, 10 tanks, 10 Aerospace Fighters, 25 Protomechs, 25 Elementals, or 125 infantry.

Hence, an infantry brigade could consist of three battalions of infantry, but a cavalry brigade of equivalent size would have three regiments.

Hence, on April 2, after leaving the Ochagavía camp to travel to the lower hills of Maipo, the Patriot army emerged organized in three infantry divisions with a total of 396 chiefs and approximately 5, 000 lower-ranked officers and soldiers.

Hence, most of the coalition's artillery was archers, whom the Portuguese could easily outshoot.

Hence it was only after the Somme experience that the British realised, and became able to bring to bear, the enormous volumes of artillery fire required to achieve any breakthrough in the prevailing siege-like stalemate.

Hence indirect fire means applying ‘ firing data ’ to azimuth and elevation sights and laying these sights.

Hence, the manuals recommended firing only in short bursts or semi-auto and insisted that only good magazines should be used.