Explore Circumcircle through 4 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Circumcircle meaning
A circle that passes through every vertex of a given triangle (or other polygon where possible).
Using Circumcircle
- The main meaning on this page is: A circle that passes through every vertex of a given triangle (or other polygon where possible).
- In the example corpus, circumcircle often appears in combinations such as: the circumcircle.
Context around Circumcircle
- Average sentence length in these examples: 33.8 words
- Position in the sentence: 0 start, 4 middle, 0 end
- Sentence types: 4 statements, 0 questions, 0 exclamations
Corpus analysis for Circumcircle
- In this selection, "circumcircle" usually appears in the middle of the sentence. The average example has 33.8 words, and this corpus slice is mostly made up of statements.
- Around the word, unique, lies and altshiller stand out and add context to how "circumcircle" is used.
- Recognizable usage signals include a unique circumcircle a circle and of the circumcircle altshiller court. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "circumcircle" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.
Example types with circumcircle
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
The product of two sides of a triangle equals the altitude to the third side times the diameter of the circumcircle: Altshiller-Court, Nathan, College Geometry, Dover, 2007. (28 words)
As mentioned above, every triangle has a unique circumcircle, a circle passing through all three vertices, whose center is the intersection of the perpendicular bisectors of the triangle's sides. (30 words)
In this example the size of the vertex figure was chosen so that its circumcircle lies on the intersphere of the cuboctahedron, which also becomes the intersphere of the dual rhombic dodecahedron. (32 words)
Tsukerman's converse to Lambert's theorem states that, given three lines that bound a triangle, if two of the lines are tangent to a parabola whose focus lies on the circumcircle of the triangle, then the third line is also tangent to the parabola. (45 words)
In this example the size of the vertex figure was chosen so that its circumcircle lies on the intersphere of the cuboctahedron, which also becomes the intersphere of the dual rhombic dodecahedron. (32 words)
As mentioned above, every triangle has a unique circumcircle, a circle passing through all three vertices, whose center is the intersection of the perpendicular bisectors of the triangle's sides. (30 words)
Example sentences (4)
As mentioned above, every triangle has a unique circumcircle, a circle passing through all three vertices, whose center is the intersection of the perpendicular bisectors of the triangle's sides.
In this example the size of the vertex figure was chosen so that its circumcircle lies on the intersphere of the cuboctahedron, which also becomes the intersphere of the dual rhombic dodecahedron.
The product of two sides of a triangle equals the altitude to the third side times the diameter of the circumcircle: Altshiller-Court, Nathan, College Geometry, Dover, 2007.
Tsukerman's converse to Lambert's theorem states that, given three lines that bound a triangle, if two of the lines are tangent to a parabola whose focus lies on the circumcircle of the triangle, then the third line is also tangent to the parabola.
Common combinations with circumcircle
These word pairs occur most frequently in English texts: