Changes

==Origin==

==Origin==

[https://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English] ''perpendiculer'', from Middle French, from [[Latin]] ''perpendicularis'', from ''perpendiculum'' plumb line, from ''per''- + ''pendēre'' to hang

[https://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English] ''perpendiculer'', from Middle French, from [[Latin]] ''perpendicularis'', from ''perpendiculum'' plumb line, from ''per''- + ''pendēre'' to hang

*[http://en.wikipedia.org/wiki/14th_century 14th Century]

*[https://en.wikipedia.org/wiki/14th_century 14th Century]

==Definitions==

==Definitions==

*1a : standing at [http://en.wikipedia.org/wiki/Right_angle right angles] to the plane of the [[horizon]] : exactly upright

*1a : standing at [https://en.wikipedia.org/wiki/Right_angle right angles] to the plane of the [[horizon]] : exactly upright

:b : being at right angles to a given line or [[plane]]

:b : being at right angles to a given line or [[plane]]

*2: extremely steep : precipitous

*2: extremely steep : precipitous

*3often capitalized : of or relating to a medieval [http://en.wikipedia.org/wiki/English_Gothic English Gothic style] of [[architecture]] in which [[vertical]] lines predominate

*3often capitalized : of or relating to a medieval [https://en.wikipedia.org/wiki/English_Gothic English Gothic style] of [[architecture]] in which [[vertical]] lines predominate

*4: relating to, uniting, or consisting of [[individuals]] of dissimilar type or on [[different]] levels  

*4: relating to, uniting, or consisting of [[individuals]] of dissimilar type or on [[different]] levels  

==Description==

==Description==

In [[geometry]], the word perpendicular [[describes]] the [[relationship]] between two geometric objects that meet at a [http://en.wikipedia.org/wiki/Right_angle right angle].

In [[geometry]], the word perpendicular [[describes]] the [[relationship]] between two geometric objects that meet at a [https://en.wikipedia.org/wiki/Right_angle right angle].

A [http://en.wikipedia.org/wiki/Line_(geometry) line] is said to be ''perpendicular'' to another line if the two lines [[intersect]] at a right angle. Explicitly, a first line is perpendicular to a second line if 1) the two lines meet and 2) at the point of intersection the straight angle on one side of the first line is cut by the second line into two [http://en.wikipedia.org/wiki/Congruence_(geometry) congruent] angles. Perpendicularity can be shown to be [[symmetric]], meaning if a first line is perpendicular to a second line, then the second line is also perpendicular to the first. For this reason, we may speak of two lines as being perpendicular (to each other) without specifying an order.[http://en.wikipedia.org/wiki/Perpendicular]

A [https://en.wikipedia.org/wiki/Line_(geometry) line] is said to be ''perpendicular'' to another line if the two lines [[intersect]] at a right angle. Explicitly, a first line is perpendicular to a second line if 1) the two lines meet and 2) at the point of intersection the straight angle on one side of the first line is cut by the second line into two [https://en.wikipedia.org/wiki/Congruence_(geometry) congruent] angles. Perpendicularity can be shown to be [[symmetric]], meaning if a first line is perpendicular to a second line, then the second line is also perpendicular to the first. For this reason, we may speak of two lines as being perpendicular (to each other) without specifying an order.[https://en.wikipedia.org/wiki/Perpendicular]

[[Category: Mathematics]]

[[Category: Mathematics]]