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Get to know Directrix better with 10+ real example sentences, the meaning.

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Directrix in a sentence

Directrix meaning

  1. A female who directs; a directress.
  2. A line used to define a curve or surface; especially a line, the distance from which a point on a conic has a constant ratio to that from the focus.

Using Directrix

  • The main meaning on this page is: A female who directs; a directress. | A line used to define a curve or surface; especially a line, the distance from which a point on a conic has a constant ratio to that from the focus.
  • In the example corpus, directrix often appears in combinations such as: the directrix, directrix and, directrix is.

Context around Directrix

  • Average sentence length in these examples: 26 words
  • Position in the sentence: 1 start, 4 middle, 8 end
  • Sentence types: 13 statements, 0 questions, 0 exclamations

Often before:

corresponding 1×

Often after:

hence 1× line 1× circle 1×

Sentence patterns with Directrix

These short patterns come directly from the example sentences and show how the word is often embedded:

and the directrix 1× as the directrix hence the 1× both the directrix and the 1× called the directrix is a 1× circle the directrix circle whose 1× directrix and focus 1× focus and directrix 1× from the directrix 1×

Sentence openings and endings

Common sentence openings:

a second equivalent 1× conversely two tangents 1× correspondingly since c 1× deductions measured along 1× directrix and focus 1× equations cartesian in 1×

Common sentence endings:

and the directrix 1× and the focus 1× directrix are perpendicular 1× equals a e 1× from the directrix 1× of the hyperbola 1×

Words around Directrix

Just before it in the word index:

directrices 2 directory 382 directorships 9 directorship 32 directors 3.243 directories 104

Just after it in the word index:

directs 404 directshow 4 directstorage 4 directtv 8 directv 105 directwrite 2

Similar in corpus frequency:

aanand 16 abcd 16 abdurrahman 16 aberdour 16 abergele 16 abg 16

Corpus analysis for Directrix

  • In this selection, "directrix" usually appears near the end of the sentence. The average example has 26 words, and this corpus slice is mostly made up of statements.
  • Around the word, corresponding, hence, line and circle stand out and add context to how "directrix" is used.
  • Recognizable usage signals include and the directrix and as the directrix hence the. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "directrix" sits close to words such as aanand, abcd and abdurrahman, which helps place it inside the broader word index.

Example types with directrix

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

Parabola with focus and directrix. (5 words)

Conversely, two tangents which intersect on the directrix are perpendicular. (10 words)

Measured along the axis of symmetry, the vertex is the midpoint between the focus and the directrix. (17 words)

Longer example sentences

Directrix and focus A hyperbola can be defined as the locus of points for which the ratio of the distances to one focus and to a line (called the directrix) is a constant e that is larger than 1. This constant is the eccentricity of the hyperbola. (47 words)

If (x, y) is a point on the parabola then, by definition of a parabola, it is the same distance from the directrix as the focus; in other words: : Squaring both sides and simplifying produces : as the equation of the parabola. (41 words)

Yet another equivalent definition of the ellipse is that it is the set of points that are equidistant from one point in the plane (a focus) and a particular circle, the directrix circle (whose center is the other focus). (39 words)

Example sentences (13)

Directrix and focus A hyperbola can be defined as the locus of points for which the ratio of the distances to one focus and to a line (called the directrix) is a constant e that is larger than 1. This constant is the eccentricity of the hyperbola.

A second equivalent method of constructing an ellipse using a directrix is shown on the plot as the three blue lines.

Conversely, two tangents which intersect on the directrix are perpendicular.

Correspondingly, since C is on the directrix, the y-coordinates of F and C are equal in absolute value and opposite in sign.

Deductions Measured along the axis of symmetry, the vertex, A, is equidistant from the focus, F, and from the directrix.

Equations Cartesian In the following equations and are the coordinates of the vertex of the parabola and is the distance from the vertex to the focus and the vertex to the directrix.

If (x, y) is a point on the parabola then, by definition of a parabola, it is the same distance from the directrix as the focus; in other words: : Squaring both sides and simplifying produces : as the equation of the parabola.

Measured along the axis of symmetry, the vertex is the midpoint between the focus and the directrix.

Advertentie

Parabola with focus and directrix.

The eccentricity can also be defined as the ratio of the distances to either focus and to a corresponding line known as the directrix ; hence, the distance from the center to the directrices equals a/e.

The eccentricity e equals the ratio of the distances from a point P on the hyperbola to one focus and its corresponding directrix line (shown in green).

The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.

Yet another equivalent definition of the ellipse is that it is the set of points that are equidistant from one point in the plane (a focus) and a particular circle, the directrix circle (whose center is the other focus).

Advertentie

Common combinations with directrix

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "directrix" in a sentence?
An example: "Directrix and focus A hyperbola can be defined as the locus of points for which the ratio of the distances to one focus and to a line (called the directrix) is a constant e that is larger than 1. This constant is the eccentricity of the hyperbola." This page contains 10+ example sentences with the word "directrix" from authentic English texts.
What does "directrix" mean?
Directrix means: A female who directs; a directress.
How many example sentences with "directrix" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "directrix", drawn from a database of millions of English sentences.