When is a triangle bisected by its Euler line? (Q6617265)
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scientific article; zbMATH DE number 7924688
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | When is a triangle bisected by its Euler line? |
scientific article; zbMATH DE number 7924688 |
Statements
When is a triangle bisected by its Euler line? (English)
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10 October 2024
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It is shown that the following are equivalent: (i) the Euler line of a triangle \(ABC\) passes through one of the midpoints of its sides; (ii) the Euler line of a triangle \(ABC\) passes through one of the vertices; (iii) the Euler line of a triangle \(ABC\) divides it into two equiareal parts; (iv) \(ABC\) is a right or isosceles triangle.
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Euler line
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Euclidean geometry
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