circumcenter love

# circumcenter

## Definitions

### from The Century Dictionary.

• noun In mathematics, the center of a circumscribed circle. Thus, the circumcenter of a triangle is the center of the circle circumscribed about it.

### from the GNU version of the Collaborative International Dictionary of English.

• noun (Geom.) The center of a circle that circumscribes a triangle.

• noun geometry The center of a circumcircle (the circle that passes through every vertex of a given triangle or other cyclic polygon).

## Etymologies

Sorry, no etymologies found.

## Examples

• The second is the circumcenter, which is the intersection of the perpendiculars drawn from the halfway points of the sides.

HERE’S LOOKING AT EUCLID

• The second is the circumcenter, which is the intersection of the perpendiculars drawn from the halfway points of the sides.

HERE’S LOOKING AT EUCLID

• The second is the circumcenter, which is the intersection of the perpendiculars drawn from the halfway points of the sides.

HERE’S LOOKING AT EUCLID

• In 1767 Leonhard Euler proved that for all triangles the orthocenter, the circumcenter, the centroid and the center of the midcircle are always on the same line.

HERE’S LOOKING AT EUCLID

• In 1767 Leonhard Euler proved that for all triangles the orthocenter, the circumcenter, the centroid and the center of the midcircle are always on the same line.

HERE’S LOOKING AT EUCLID

• In 1767 Leonhard Euler proved that for all triangles the orthocenter, the circumcenter, the centroid and the center of the midcircle are always on the same line.

HERE’S LOOKING AT EUCLID

• Recalling where O and I are the circumcenter and incenter of triangle from which (b) follows.

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