Since a regular polygon has angles at least 60 degrees, it follows that at most five faces meet at any vertex.

Since this shield had no angles, Numa named it ancile ; because in it resided the fate of the imperium, he had many copies made of it to disguise the real one.

Since the beginning of the 1780s, both professional and amateur double star observers have telescopically measured the distances and angles between double stars to determine the relative motions of the pairs.

Since the angles 0 and 2π are the same this would give two different values for the same expression.

Since there are four such triangles, there are four such constraints on sums of angles, and the number of degrees of freedom is thereby reduced from 12 to 8.

Since both the Sun and Moon were observed at their respective angles from the same location, the navigator would have to be located at one of the two locations where the circles cross.

Since the weapon is seen as simply an extension of the body, the same angles and footwork are used either with or without a weapon.

Since the current is in the opposite direction along each rail, the net magnetic field between the rails ( B ) is directed at right angles to the plane formed by the central axes of the rails and the armature.

Since the Mercator projection is conformal, that is, bearings in the chart are identical to the corresponding angles in nature, bearings may be measured from the chart to be used at sea or plotted on the chart from measurements taken at sea.

Since projective geometry excludes compass constructions, there are no circles, no angles, no measurements, no parallels, and no concept of intermediacy.

Since the sum of the angles of a triangle is equal to two right angles, we have

Since in a parallelogram adjacent angles are supplementary ( add to 180 °) and ABC is a right angle ( 90 °) then angles BAD, BCD, and ADC are also right ( 90 °); consequently ABCD is a rectangle.

Since the late 20th century all-aspect heat-seeking designs can lock-on to a target from various angles, not just from behind, where the heat signature from the engines is strongest.

Since the surface tension is the same in each of the three surfaces, the three angles between them must be equal to 120 °.

( Since No. 6 Guard is already standing at right angles to the other five companies it does not need to execute this movement.

Since two of the angles in an isosceles triangle are equal and since the angles in a triangle must add up to 180 °, it follows that the inscribed angle equals θ, half of the central angle.

Since the result, the sum of all angles, can add up to 0 or 2 * PI ( or multiples of 2 * PI ) only, it is sufficient to track through which quadrants the polygon winds, as it turns around the test point, which makes the winding number algorithm comparable in speed to counting the boundary crossings.

Since the lines AD and BC are parallel, angles adjacent to opposite bases are supplementary, that is, angles

Since this is a unit sphere, the lengths a, b, and c are simply equal to the angles ( in radians ) subtended by those sides from the center of the sphere ( for a non-unit sphere, each of these arc lengths is equal to its central angle multiplied by the radius of the sphere ).

Since rays in space can be parameterized by three coordinates, x, y, and z and two angles and, as shown at left, it is a five-dimensional function.

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 they were sighted only from one location, their true distances could not be measured.

Since Earth is round, if their downward bending curve is about the same as the curvature of the Earth, light rays can travel large distances, perhaps from beyond the horizon.

Since the sound waves propagate, not from a single point source, but along the length of the lightning's path, the sound origin's varying distances from the observer can generate a rolling or rumbling effect.

Since these minor discrepancies can be adequately explained by slight changes in the tracks of roads during the last 2300 years, the overall accuracy of the measurements implies that the bematists already must have used a sophisticated device for measuring distances, although there is no direct mentioning of such a device.

" Since Ninety-Six was located in Clarendon Parish, could it be possible that Parish linear measurements used in England were used on colonial maps to measure distances in " chains?

Since the lowest-order term observed in magnetic sources is the dipolar term, it dominates at large distances.

Since the advent of well-developed interchangeable manufacture, these distances have been accompanied by tolerances of the plus-or-minus or min-and-max-limit types.

Since the laws of physics at such short distances are unknown, some find Hawking's original calculation unconvincing.

Since famines or food shortages are usually " local " affairs the ability to buy and transport food over much longer distances helped minimize the impacts of local crop shortages.

Since it was much more economical to use a few herders as reasonable to bring herds of livestock the long distances from Ireland, Wales and Scotland to England for fattening and / or slaughter accumulating the money to buy these herds was much facilitated by a workable banking system.

Since the consolidation of the three municipalities of Hafslo, Jostedal and Luster in 1963, the area has been characterized by scattered rural settlements and large distances between these settlements.

Since the intonation of most modern western fretted instruments is equal tempered, the ratio of the distances of two consecutive frets to the bridge is, or approximately 1. 059463.

Since the caravan traveled at the walking speed of the men, the distance made in a day ( a " stage ") was usually between, depending on road and weather conditions, and distances between water sources.

Since this only happened during the first few decades of stamp usage, and only for the few letters that were sent great distances, very few covers have survived.

Since feral hogs roam over large distances, there is concern that tularemia may spread or already be present in feral hogs over a very wide geographic area.

Since the location was remote in the 1950s, Walt Disney wanted to build a hotel so that Disneyland visitors traveling long distances could stay overnight.

Since owls are, next to Red-tailed Hawks, perhaps the main predator of crows and their young, crows sometimes congregate from considerable distances to mob owls and caw angrily at them for hours on end.

Since Inverse Square law provides 1 / 4 the power at 2 times the distance, this can increase the distances and volume for capture.

" Since the mid-1960s, Kenyan men have earned the largest share of major honors in international athletics at distances from 800 meters to the marathon ; the vast majority of these Kenyan running stars have been Kalenjin.

Since there were few tank transporters or railways in the desert, the tanks had to travel long distances on their tracks causing further wear.

Since the late 19th century, speed skating championships were always decided by racing multiple distances – four different distances for the allround championships, and two different distances ( which have to be skated twice ) for sprint championships.