In four-space, we have 5 points each equidistant from all the rest, giving the hypertetrahedron.
If the foot of a perpendicular slides on a straight its extremity describes a curve called an equidistant curve, or an equidistantial.
In three-space there may be four points each equidistant from the others.
Before reaching Talla, almost equidistant between the Polmood and Hearthstane burns, but on the opposite side of Tweed, we come to what used to be the cheery, clean little Crook Inn, standing in its clump of trees.
And that any straight lines which are in the same plane and not equidistant will certainly meet, may be demonstrated in the most rigorous manner from the fundamental property of straight lines assumed in the text, viz.
Those oscillations take place between equidistant points on the two sides of a line, which, being perpendicular to the earth, varies with every variation in the earth’s position, either in space or relatively to the object.
Procyon isequidistant from Betelgeuze in Orion, and Sirius in Canis Major, and forms with them an equilateral triangle.
Caph is equidistant from the Pole, and exactly opposite the star Megres in Ursa Major; with α Andromedæ and γ Pegasi it marks the equinoctial colure.
It is situated almost exactly in the mid-heavens, being nearly equidistant from the poles, and midway between the vernal and autumnal equinoxes.
Fresnel's zones are reduced to parallel and equidistant straight strips, which at certain angles coincide with the ruling.
In these instruments the lines are ruled upon a spherical surface of speculum metal, and mark the intersections of the surface by a system of parallel and equidistant planes, of which the middle member passes through the centre of the sphere.
Mantle of the double cone thick walled, not compressed; its transverse section circular or hexagonal; its contour nearly straight; surface with six thick prominent longitudinal equidistant ribs; margin irregularly dentated.
The lower or proximal apophyses are thick, simple, all slightly curved; they are equidistant from the former and from the centre.
This form can also be regarded as present in those #Sphaeroidea# whose spherical lattice-shell bears eight equal and equidistant radial spines (many Astrosphaerida).
Outer cortical shell smooth, of the same regular crucial form as the inner, equidistant from it everywhere.
Phacoid shell three times as broad as the medullary shell, connected with it by six equidistant radial beams, three of which are prolonged into marginal spines.
Phacoid shell three times as broad as the outer and ten times as broad as the inner medullary shell, connected with both by six equidistant piercing radial beams.
Cross formed by the four arms regular, rectangular, with equal-sized andequidistant arms.
Ring circular or regular octagonal, connected with the central chamber by eight equidistant radial beams; therefore eight ring chambers of equal size.
Mantle of the double cone thin walled, not compressed; its transverse section circular or nearly hexagonal; its contour little convex; surface with six thick longitudinal equidistant ribs and many thinner ribs between them; margin denticulate.
The leaves are thus arranged on the whole stem in four equidistant rows.
Hambridge, a villageequidistant from Langport and Ilminster (5 m.
For if the appearances were constant, universally observable, in equidistant periods, they would serve mankind for measure of time as well were the motion away.
Nor indeed does motion any otherwise conduce to the measuring of duration, than as it constantly brings about the return of certain sensible ideas, in seemingequidistant periods.
For single phase synchronous converters, consisting of a closed circuit armature winding tapped at two equidistant points to the two collector rings the virtual voltage is 1 ÷ √2 × the direct current voltage.
The method of procedure consists in comparing the deflections on the wattmeter at five of six approximately equidistant points over its scale with the corresponding products of volts and amperes used to obtain them.
Of course the tree being equidistant from the four corners shows that the garden is a quadrilateral that may be inscribed in a circle.
Every reader knows how to place four pennies so that they are equidistant from each other.
You see, I am equidistantfrom the three stations, so I get a good choice of trains.
But you forget," Rackbrane said, with a twinkle in his eye, "that you told me once you had planted this tree equidistant from all the four corners of the garden.
Glareanus (1510) was the first to employ an equidistant zenithal polar projection.
There are two forms, the simple or equidistant polyconic, and the rectangular polyconic.
This gives either the group of conical projections with rectified meridians, or as a particular case the equidistant zenithal.
The earliest of these, a trapeziform projection with equidistant parallels, by D.
This is the best projection to use for maps exhibiting the progress of polar discovery, and is called the polar equidistant projection.
In Mercator's chart the equator is represented by a straight line, which is crossed at right angles by a system of parallel and equidistant straight lines representing the meridians.
This is the Equidistant Projection just described, a very simple and effective method of representation.
In the ceiling above the area enclosed by the bar, 10 recessed lights are installed in two rows of 4 lights across the front and rear sections, and a pair are located equidistant between these rows.
The site was roughly equidistant for persons coming from Alexandria, Newgate, and the Goose Creek settlements, but somewhat farther for those from Colchester.
Each cover is held on by six hexagon-headed bolts, placed equidistant round it, tapped into the flange.
Being of equal chroma, all are equidistant from the neutral centre, and, being equal in value, all are equally removed from the poles.
Before placing the cylinder over the piston it is imperative that the slots in the piston rings are spaced equidistant and that the piston is copiously oiled before the cylinder is slipped over it.
East and west facades were to be equidistant from the north porch and from the Caryatid Porch which would have served to break the monotony of the long rear wall.
This anta in turn determined the position of the eastern window, for the west face of the anta and the window are equidistant from the east wall of the Pinakotheke (Fig.
It is almost certain that the original plan of the architect was for a building with an east and west portico equidistantfrom the north porch as Prof.
The seconds had decided to place their men twenty-five paces apart in such wise that the white trunk should be equidistant from either.
About equidistant between Biarritz and the Spanish border, and very near both," was the tranquil answer.
He perceived that the holes were not in a straight line, nor were they equidistant from each other.
The holes were not equidistant from each other, and then they were not at the same distance from the edge of the board.
Within this field, on the upper part and equidistant from the central hole, are three Swastikas, the ends of all of which turn to the left, and but one at right angles.
The nearly flat surface is the top, and on it, equidistant from the center hole and from each other, are three ogee Swastikas of double lines, with their ends all curved to the right.
Some Swastikas have three dots placed equidistant around each of the four ends (fig.
The coins of Lycia were first three cocks' heads and necks joined together equidistant in the center of the field, as shown in fig.
Swastikas equidistant from the hole and from each other, all made by the two crossed ogee lines with ends curved to the right.
A bar on which is placed a series of points, usually equidistant from each other.
A perspective is a most deceptive figure, and a cube, for instance, may be drawn so that the various lines will differ in length, and also be equidistant from each other.
