noun

definition

A sharp point or pointed end.

definition

An important moment when a decision is made that will determine future events.

definition

A point of a curve where the curve is continuous but has no derivative, but such that it has a derivative at every nearby point.

definition

A point made by the intersection of two curved lines or curved structures, a common motif in Gothic architecture.

definition

A boundary between zodiacal signs and houses.

definition

Any of the pointed parts of a canine tooth or molar.

definition

A flap of a valve of a heart or blood vessel.

verb

definition

To behave in a reckless or dangerous manner.

Examples of cusp in a Sentence

Women who are pregnant often want to remember pregnancy as a special point in their lives, as they are on the cusp of becoming a mother.

Brandt's has a large cusp at the base on the inside of this tooth.

Aquarius, a fixed air sign is on my 7th cusp, ruled by Saturn in Leo in 12.

Jupiter in the first offered a lot of promise, Neptune on the 5th cusp promised a summer of love.

Pisces on 8th house cusp The eighth house deals with joint resources.

The Planet ruling the 9th house cusp is the Moon which lies in Scorpio.

Best wishes, Keren PS Just noticed the position of Lord 1 prominently on the 11th house cusp.

All four of us are kissing thirty, swinging on that cusp between frantic singles and life commitments.

The distributions are similar in nature to those seen from the low-latitude boundary layer and cusp on the dayside.

Aries on second house cusp Your own values come first.

Such events occur in the dayside cusp and polar cap regions during southward IMF conditions.

He was on the cusp of reaching the top of the leaderboard in one of his favorite games.

It provided millions in incentives to mortgage lenders to assist borrowers who are on the cusp of foreclosure to lower their monthly payments.

The Gemini Taurus cusp is one of the more interesting degrees in astrology.

In fact, being born on a cusp in general can lend a certain richness, a diversity and a depth to the individual's personality.

This can cause a lot of confusion to those who are born on the cusp dates, as they may feel as if they don't really belong to any one sign.

Being born on a cusp can actually be quite beneficial to your personality, and to how others perceive you.

First, there really are no disadvantages to speak of when it comes to the Gemini cusp, as every aspect in astrology is all about finding out more about yourself and getting closer to the "source" or the seat of the collective consciousness.

Whether you're called upon to mediate a conflict at work or home, the Gemini Taurus cusp gives you the capacity to fully understand the grievances of those who are arguing, as well as to come up with a workable solution.

This is one of the very best things about being born on the cusp, and it works similar to having a sun sign and a rising sign (or a moon sign) that are adjacent to one another.

So too is it with the cusp between Gemini and Taurus.

Not only will you make more friends, but the quality of those friendships are apt to be even richer and full of depth than it would have been had you not been born on a cusp date.

It can be confusing when you first learn that you're born on a cusp date, but the truth of the matter is that you're much luckier for it.

Chances are good that because of that cusp, you probably have a much more well-rounded personality than most, and that's something every one finds attractive!

Aries should stay clear of Capricorn unless one of these signs falls on a cusp.

If one person's sign is on the cusp of the other's 5th house, there will most likely be plenty of romance in the relationship, although marriage is not inevitable.

If one person's sign is on the cusp of the other's 7th house, the relationship will most likely be long-term and possibly result in marriage.

Whether you have a Capricorn sun, or have it nestled on the first house cusp, certain characteristics, like frugality, depression, and even an occasional bout of debauchery,are bound to raisetheir heads from time to time.

Perhaps you are born on a cusp and want to include both signs?

The steady rise in ebook sales, and the first ebook publishing house to gain RWA recognition, means the industry is on the cusp of change.

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.

The results of this analysis are placed in the context of the large scale cusp precipitation.

He has Mars, ascendant ruler, on the 5th house cusp, together with Venus and Mercury in the 5th house.

In fact the only problem both films suffer from is that they are constantly teetering on the cusp of disappearing up their own backside.

Add in the element of taking it to the air -- which happens very often -- and it always feels like you're on the cusp of losing control.

To alleviate any confusion, the dates that bookend any given zodiac sign area called cusp dates.

By means of Pliicker's equations we may form a table - The table is arranged according to the value of in; and we have m=o, n= r, the point; m =1, n =o, the line; m=2, n=2, the conic; of m = 3, the cubic, there are three cases, the class being 6, 4 or 3, according as the curve is without singularities, or as it has 1 node or r cusp; and so of m =4, the quartic, there are ten cases, where observe that in two of them the class is = 6, - the reduction of class arising from two cusps or else from three nodes.

The branch, whether re-entrant or infinite, may have a cusp or cusps, or it may cut itself or another branch, thus having or giving rise to crunodes or double points with distinct real tangents; an acnode, or double point with imaginary tangents, is a branch by itself, - it may be considered as an indefinitely small re-entrant branch.

Today we are on the cusp of a substantially more profound shift in work life.

On the other hand, in Merycopotamus, of the Lower Pliocene of India and Burma, the upper molars have lost the fifth intermediate cusp of Ancodon; and thus, although highly selenodont, might be easily modified, by a kind of retrograde development, into the trefoil-columned molars of Hippopotamus.

But it can be shown, analytically or geometrically, that if the given curve has a node, the first polar passes through this node, which therefore counts as two intersections, and that if the curve has a cusp, the first polar passes through the cusp, touching the curve there, and hence the cusp counts as three intersections.

But if the given curve has a node, then not only the Hessian passes through the node, but it has there a node the two branches at which touch respectively the two branches of the curve; and the node thus counts as six intersections; so if the curve has a cusp, then the Hessian not only passes through the cusp, but it has there a cusp through which it again passes, that is, there is a cuspidal branch touching the cuspidal branch of the curve, and besides a simple branch passing through the cusp, and hence the cusp counts as eight intersections.

The node or cusp is not an inflection, and we have thus for a node a diminution 6, and for a cusp a diminution 8, in the number of the intersections; hence for a curve with 6 nodes and cusps, the diminution is = 66+8K, and the number of inflections is c= 3m(m - 2) - 66 - 8K.

Thirdly, for the double tangents; the points of contact of these are obtained as the intersections of the curve by a curve II = o, which has not as yet been geometrically defined, but which is found analytically to be of the order (m-2) (m 2 -9); the number of intersections is thus = m(rn - 2) (m 2 - 9); but if the given curve has a node then there is a diminution =4(m2 - m-6), and if it has a cusp then there is a diminution =6(m2 - m-6), where, however, it is to be noticed that the factor (m2 - m-6) is in the case of a curve having only a node or only a cusp the number of the tangents which can be drawn from the node or cusp to the curve, and is used as denoting the number of these tangents, and ceases to be the correct expression if the number of nodes and cusps is greater than unity.

The most simple case is when three double points come into coincidence, thereby giving rise to a triple point; and a somewhat more complicated one is when we have a cusp of the second kind, or node-cusp arising from the coincidence of a node, a cusp, an inflection, and a double tangent, as shown in the annexed figure, which represents the singularities as on the point of coalescing.

As regards the so-called hyperbolisms, observe that (besides the single asymptote) we have in the case of those of the hyperbola two parallel asymptotes; in the case of those of the ellipse the two parallel asymptotes become imaginary, that is, they disappear; and in the case of those of the parabola they become coincident, that is, there is here an ordinary asymptote, and a special asymptote answering to a cusp at infinity.

With a given cusp 2.

The curve is symmetrical about the axis of x, and consists of two infinite branches asymptotic to the line BT and forming a cusp at the origin.

There is symmetry about the initial line and a cusp at the origin.

In the case of a particle oscillating under gravity on a smooth cycloid from rest at the cusp the hotlograph is a circle through the pole, described with constant velocity.

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