Share on Facebook Share on Twitter Email
Answers.com

midpoint

 
Dictionary: mid·point   (mĭd'point') pronunciation
Home > Library > Literature & Language > Dictionary
n.
  1. Mathematics. The point of a line segment or curvilinear arc that divides it into two parts of the same length.
  2. A position midway between two extremes.

Search unanswered questions...

Enter a question here...
Search: All sources Community Q&A Reference topics

Thesaurus: midpoint
Top
Home > Library > Literature & Language > Thesaurus

noun

    A point or an area equidistant from all sides of something: center, median, middle, midst. See edge/center.

Word Tutor: midpoint
Top
Home > Library > Literature & Language > Spelling & Usage
pronunciation

IN BRIEF: In the middle or at the center.

pronunciation We were ready to come home at the midpoint of the trip.

Wikipedia: Midpoint
Top
Home > Library > Miscellaneous > Wikipedia
The midpoint of the segment (x1, y1) to (x2, y2)

The midpoint (also known as class mark in relation to histogram) is the middle point of a line segment. It is equidistant from both endpoints.

Formulas

The formula for determining the midpoint of a segment in the plane, with endpoints (x1) and (x2) is:

\left(\frac{x_1 + x_2}{2}\right)

The formula for determining the midpoint of a segment in the plane, with endpoints (x1, y1) and (x2, y2) is:

\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)


The formula for determining the midpoint of a segment in the plane, with endpoints (x1, y1, z1) and (x2, y2 z2) is:

\left(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2}\right)

More generally, for an n-dimensional space with axes x_1, x_2, x_3 \dots x_n\,\!, the midpoint of an interval is given by:

\left(\frac{x_{1_1} + x_{1_2}}{2}, \frac{x_{2_1} + x_{2_2}}{2}, \frac{x_{3_1} + x_{3_2}}{2}, \dots , \frac{x_{n_1} + x_{n_2}}{2} \right)

See also

External links

  • Animation - showing the characteristics of the midpoint of a line segment
Stub icon This geometry-related article is a stub. You can help Wikipedia by expanding it.

This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see full disclaimer)

Translations: Midpoint
Top
Home > Library > Literature & Language > Translations

Dansk (Danish)
n. - midtpunkt

Nederlands (Dutch)
middelpunt, punt dichtbij het midden

Français (French)
n. - milieu

Deutsch (German)
n. - Mitte

Ελληνική (Greek)
n. - μέσο σημείο, μέσα (γραμμής, γεγονότος κ.λπ.), (στατισ.) μέση τιμή τάξεως

Italiano (Italian)
punto centrale

Português (Portuguese)
n. - ponto central (m)

Русский (Russian)
средняя точка, кульминация

Español (Spanish)
n. - punto medio, mediana

Svenska (Swedish)
n. - mittpunkt

中文（简体）(Chinese (Simplified))
中点, 正中央

中文（繁體）(Chinese (Traditional))
n. - 中點, 正中央

한국어 (Korean)
n. - 중간점

日本語 (Japanese)
n. - 中心点, 中点, 中間点

العربيه (Arabic)
‏(الاسم) نقطه وسط‏

עברית (Hebrew)
n. - ‮נקודת האמצע, אמצע‬

If you are unable to view some languages clearly, click here.

To select your translation preferences click here.


Best of the Web: midpoint
Top

Some good "midpoint" pages on the web:


Math
mathworld.wolfram.com
 
 
 

 

Copyrights:

Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2009. Published by Houghton Mifflin Company. All rights reserved.  Read more
Thesaurus. Roget's II: The New Thesaurus, Third Edition by the Editors of the American Heritage® Dictionary Copyright © 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved.  Read more
Word Tutor. Copyright © 2004-present by eSpindle Learning, a 501(c) nonprofit organization. All rights reserved.
eSpindle provides personalized spelling and vocabulary tutoring online; free trial.  Read more
Wikipedia. This article is licensed under the Creative Commons Attribution/Share-Alike License. It uses material from the Wikipedia article "Midpoint".  Read more
Translations. Copyright © 2007, WizCom Technologies Ltd. All rights reserved.  Read more