Word Finder - vertex

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The highest point of something.

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The highest surface on the skull.

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The common point of the two rays of the angle, or its equivalent structure in polyhedra (meeting of edges) and higher order polytopes.

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A point on the curve with a local minimum or maximum of curvature.

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One of the elements of a graph joined or not by edges to other vertices.

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A point in 3D space, usually given in terms of its Cartesian coordinates.

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The point where the surface of a lens crosses the optical axis.

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An interaction point.

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The point where the prime vertical meets the ecliptic in the western hemisphere of a natal chart.

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A sharp downward point opposite a crotch, as in the letters "V" and "W" but not "Y".

My cousin built his house on the vertex of the highest hill in the county.

The vertex of my roof needs some serious repair.

Above is the crown (vertex or epicranium), on which or on the " front " may be seated three simple eyes (ocelli).

The cartesian equation referred to the axis and directrix is y=c cosh (x/c) or y = Zc(e x / c +e x / c); other forms are s = c sinh (x/c) and y 2 =c 2 -1-s 2, being the arc measured from the vertex; the intrinsic equation is s = c tan The radius of curvature and normal are each equal to c sec t '.

The [ox's] horns are of nearly equal size in both sexes, are placed on or near the vertex of the skull, and may be either rounded or angulated, while their direction is more or less outwards, with an upward direction near the tips, and conspicuous knobs or ridges are never developed on their surface.

The solid angles subtended by all normal sections of a cone at the vertex are therefore equal, and since the attractions of these sections on a particle at the vertex are proportional to their distances from the vertex, they are numerically equal to one another and to the solid angle of the cone.

Then the prismoid is divided into a pyramid with vertex P and base ABCD ..., and a series of tetrahedra, such as PABa or PAab.

In the case of a pyramid, of height h, the area of the section by a plane parallel to the base and at distance x from the vertex is clearly x 2 /h 2 X area of base.

As the load travels, the shear at the head of the train will be given by the ordinates of a parabola having its vertex at A, and a maximum F max.

Remembering that in this case the centre bending moment Ewl will be equal to wL 2 /8, we see that the horizontal tension H at the vertex for a span L (the points of support being at equal heights) is given by the expression 1..

H = wL2/8y, or, calling x the distance from the vertex to the point of support, H = wx2/2y.

The value of R, the tension at any point at a distance x from the vertex, is obtained from the equation R 2 = H2 +V2 = w2x4 /4Y 2 +w2x2, or, 2.

R=wx (I+x2/4Y2) Let i be the angle between the tangent at any point having the co-ordinates x and y measured from the vertex, then 3..

At the vertex A, where y =H, we have t = t' =1-T, so that (33) H = sgT2, which for practical purposes, taking g= 32, is replaced by (34) H = 4T 2, or (2T)2.

It may be shown to be the locus of the vertex of the triangle which has for its base the distance between the centres of the circles and the ratio of the remaining sides equal to the ratio of the radii of the two circles.

Largest of all is Sivatherium, typically from the Lower Pliocene of Northern India, but also recorded from Adrianople, in which the skull of the male is short and wide, with a pair of simple conical horns above the eye, and a huge branching pair at the vertex.

The simplest equation to the parabola is that which is referred to its axis and the tangent at the vertex as the axes of co-ordinates, when it assumes the form y 2 = 4ax where as = semilatus rectum; this may be deduced directly from the definition.

An equation of similar form is obtained when the axes of co-ordinates are any diameter and the tangent at the vertex.

The pedal equation with the focus as origin is p 2 =ar; the first positive pedal for the vertex is the cissoid and for the focus the directrix.

The funicular or link polygon has its vertices on the lines of action of the given forces, and its sides respectively parallel to the lines drawn from 0 in the force-diagram; in particular, the two sides meeting in any vertex are respectively parallel to the lines drawn from 0 to the ends of that side of the force-polygon which represents the corresponding force.

The two diagrams being supposed constructed, it is seen that each of the given systems of forces can be replaced by two components acting in the sides of the funicular which meet at the corresponding vertex, and that the magnitudes of these components will be given by the corresponding triangle of forces in the force-diagram; thus the force 1 in the figure is equivalent to two forces represented by 01 and 12.

It may be noticed that if the scales of x and be properly adjusted, the curve of positions in the present problem is the portion of a cycloid extending from a vertex to a cusp.

In a similar manner, for systems used in photography, the vertex of the colour curve must be placed in the position of the maximum sensibility of the plates; G'; and to accomplish this the F and violet mercury lines are united.

When measured R from the vertex the results may be expressed in the forms s= 4a sin 20 and s = (8ay); the total length of the curve is 8a.

In the first place, it is out of of the question to allow the water to rise to the vertex a Factors .

Stated in regard to the cone, we have there the fundamental theorem that there are two different kinds of sheets; viz., the single sheet, not separated into two parts by the vertex (an instance is afforded by the plane considered as a cone of the first order generated by the motion of a line about a point), and the double or twin-pair sheet, separated into two parts by the vertex (as in the cone of the second order).

It may be mentioned that the single sheet is a sort of wavy form, having upon it three lines of inflection, and which is met by any plane through the vertex in one or in three lines; the twin-pair sheet has no lines of inflection, and resembles in its form a cone on an oval base.

The cissoid is the first positive pedal of the parabola y2+8ax=o for the vertex, and the inverse of the parabola y 2 = 8ax, the vertex being the centre of inversion, and the semi-latus rectum the constant of inversion.

With a vertex much more distant the desired effect would be impaired, and with one nearer neither of the poles would be seen, whilst the exaggeration of China would have been too gross for a professed representation of the hemisphere.

If three equilateral triangles be placed at a common vertex with their covertical sides coincident in pairs, it is seen that the base is an equal equilateral triangle; hence four equal equilateral triangles enclose a space.

Each vertex is singly enclosed by the five faces; the centre of each face is doubly enclosed by the succession of faces about the face; and the centre of the solid is doubly enclosed by the faces.

Then the square of the ordinate intercepted between the diameter and the curve is equal to the rectangle contained by the portion of the diameter between the first vertex and the foot of the ordinate, and the segment of the ordinate intercepted between the diameter and the line joining the extremity of the latus rectum to the second vertex.

The conics are distinguished by the ratio between the latus rectum (which was originally called the latus erectum, and now often referred to as the parameter) and the segment of the ordinate intercepted between the diameter and the line joining the second vertex with the extremity of the latus rectum.

In modern notation, if we denote the ordinate by y, the distance of the foot of the ordinate from the vertex (the abscissa) by x, and the latus rectum by p, these relations may be expressed as 31 2 for the hyperbola.

In Newton's method, two angles of constant magnitude are caused to revolve about their vertices which are fixed in position, in such a manner that the intersection of two limbs moves along a fixed straight line; then the two remaining limbs envelop a conic. Maclaurin's method, published in his Geometria organica (1719), is based on the proposition that the locus of the vertex of a triangle, the sides of which pass through three fixed points, and the base angles move along two fixed lines, is a conic section.

For shaded polygons, the color keyword can specify an array that contains the color index at each vertex.

For an undirected graph, the number of edges incident to a vertex is its degree.

Abstract In 1977, Appel and Haken proved that every planar graph is four vertex colourable.

This category includes the 13-atom icosahedron, which can be decomposed into twenty tetrahedra sharing a common vertex.

Structure 69C has a vertex atom missing from the underlying Mackay icosahedron like 38A.

The other vertex stars use different arrangements of the thick and thin rhombs.

An inflation force is used at each vertex to inflate the overall model, while surface tension attempts to keep the mesh spherical.

There is no vertex for the trivial subgroup (yet ).

These came slightly undersized compared to the Vertex, apart from that they were identical.

If it returns fail the new vertex or edge is not generated!

Merge Classes This menu entry merges all classes within each level that contain a selected vertex.

I am not asking you to take a psychiatric vertex at this point - it is too early.

You need this option if you have moved a vertex without its class (holding down the SHIFT key ).

The user is prompted for every selected vertex, which label it should have.

Tracks are now coming from the same primary vertex.