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Get to know Orthocenter better with 5 real example sentences, the meaning.

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Orthocenter in a sentence

Orthocenter meaning

One of the centers (UK:centres) of a triangle, defined as being the intersection of its three altitudes; in an acute triangle, it is inside the triangle; in an obtuse triangle, it is outside the triangle; in a right-angled triangle it is the vertex opposite the hypotenuse and so is on the triangle.

Using Orthocenter

  • The main meaning on this page is: One of the centers (UK:centres) of a triangle, defined as being the intersection of its three altitudes; in an acute triangle, it is inside the triangle; in an obtuse triangle, it is outside the triangle; in a right-angled triangle it is the vertex opposite the hypotenuse and so is on the triangle.
  • In the example corpus, orthocenter often appears in combinations such as: the orthocenter.

Context around Orthocenter

  • Average sentence length in these examples: 31.4 words
  • Position in the sentence: 2 start, 2 middle, 1 end
  • Sentence types: 5 statements, 0 questions, 0 exclamations

Sentence patterns with Orthocenter

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

and the orthocenter for that 1× face s orthocenter and the 1× generally no orthocenter in the 1× is the orthocenter an altitude 1× triangle s orthocenter the intersection 1×

Sentence openings and endings

Common sentence openings:

an orthogonal line 1× furthermore for any 1× since these intersect 1× the intersection of 1×

Common sentence endings:

a tetrahedron intersect 1× for that face 1× right angled vertex 1× the opposite side 1× the opposite vertex 1×

Words around Orthocenter

Just before it in the word index:

orthobicupola 2 ortho 19 orthanc 5 orth 15 ortf 2 ortez 2

Just after it in the word index:

orthochromatic 4 orthochronous 2 orthoclase 12 orthodiagonal 2 orthodontic 16 orthodontics 12

Similar in corpus frequency:

aadujeevitham 7 aani 7 aapp 7 aarne 7 aaronic 7 aasa 7

Corpus analysis for Orthocenter

  • In this selection, "orthocenter" usually appears near the start of the sentence. The average example has 31.4 words, and this corpus slice is mostly made up of statements.
  • Recognizable usage signals include and the orthocenter for that and face s orthocenter and the. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "orthocenter" sits close to words such as aadujeevitham, aani and aapp, which helps place it inside the broader word index.

Example types with orthocenter

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

Furthermore, for any face, the twelve-point center lies at the midpoint of the corresponding Euler point and the orthocenter for that face. (23 words)

Since these intersect at the right-angled vertex, the right triangle's orthocenter —the intersection of its three altitudes—coincides with the right-angled vertex. (25 words)

The intersection of the altitudes is the orthocenter An altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) the opposite side. (33 words)

Longer example sentences

However, there is generally no orthocenter in the sense of intersecting altitudes. citation Gaspard Monge found a center that exists in every tetrahedron, now known as the Monge point: the point where the six midplanes of a tetrahedron intersect. (39 words)

An orthogonal line dropped from the Monge point to any face meets that face at the midpoint of the line segment between that face's orthocenter and the foot of the altitude dropped from the opposite vertex. (37 words)

The intersection of the altitudes is the orthocenter An altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) the opposite side. (33 words)

Example sentences (5)

An orthogonal line dropped from the Monge point to any face meets that face at the midpoint of the line segment between that face's orthocenter and the foot of the altitude dropped from the opposite vertex.

Furthermore, for any face, the twelve-point center lies at the midpoint of the corresponding Euler point and the orthocenter for that face.

However, there is generally no orthocenter in the sense of intersecting altitudes. citation Gaspard Monge found a center that exists in every tetrahedron, now known as the Monge point: the point where the six midplanes of a tetrahedron intersect.

Since these intersect at the right-angled vertex, the right triangle's orthocenter —the intersection of its three altitudes—coincides with the right-angled vertex.

The intersection of the altitudes is the orthocenter An altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) the opposite side.

Common combinations with orthocenter

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "orthocenter" in a sentence?
An example: "An orthogonal line dropped from the Monge point to any face meets that face at the midpoint of the line segment between that face's orthocenter and the foot of the altitude dropped from the opposite vertex." This page contains 5 example sentences with the word "orthocenter" from authentic English texts.
What does "orthocenter" mean?
Orthocenter means: One of the centers (UK:centres) of a triangle, defined as being the intersection of its three altitudes; in an acute triangle, it is inside the triangle; in an obtuse triangle, it is outside the triangle; in a right-angled triangle it is the vertex opposite the hypotenuse and so is on the triangle.
How many example sentences with "orthocenter" are there?
Voorbeeldzinnen.info contains 5 example sentences with "orthocenter", drawn from a database of millions of English sentences.