Talk:Altitude (triangle)

message: An interesting theorem relating the altitudes of the right triangle might be added here; the reciprocals of their squares are harmonic, and their reciprocals are Pythagorean. (see: http://arxiv.org/abs/math.HO/0701554)
—The preceding unsigned comment was added by 74.69.93.70 (talk) 17:23, 26 January 2007 (UTC)
thread_title: Symphonic Theorem

message: Given the length of two sides of a triangle, the ttriangle being a right triangle, how would on figure out the triangl's height? Bypegorr 23:44, 28 November 2005 (UTC)
thread_title:  Triangle's height 

message: "In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) the opposite side or an extension of the opposite side. The intersection between the (extended) side and the altitude is called the foot of the altitude. This opposite side is called the base of the altitude. The length of the altitude is the distance between the base and the vertex."
Oh, thanks for clearing that up!  See, I was a little confused...... 209.40.210.222 (talk) 12:47, 18 November 2008 (UTC)
thread_title: Insightful

message: I check pages listed in :Category:Pages with incorrect ref formatting to try to fix reference errors. One of the things I do is look for content for orphaned references in wikilinked articles. I have found content for some of :Altitude (triangle)'s orphans, the problem is that I found more than one version. I can't determine which (if any) is correct for this article, so I am asking for a sentient editor to look it over and copy the correct ref content into this article.
Reference named "ac":
From Incircle and excircles of a triangle: Altshiller-Court, Nathan. College Geometry, Dover Publications, 1980.
From Euler line: Altshiller-Court, Nathan, College Geometry, Dover Publications, 2007 (orig. Barnes & Noble 1952).
From Incenter: . #84, p. 121.
From Medial triangle: Altshiller-Court, Nathan. College Geometry. Dover Publications, 2007.
I apologize if any of the above are effectively identical; I am just a simple computer program, so I can't determine whether minor differences are significant or not. AnomieBOT⚡ 00:15, 16 January 2015 (UTC)
thread_title:  Orphaned references in [[:Altitude (triangle)]] 

message: Hello fellow Wikipedians,
I have just modified one external link on Altitude (triangle). Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
*Added archive https://web.archive.org/web/20120419171900/http://faculty.evansville.edu/ck6/encyclopedia/ETC.html to http://faculty.evansville.edu/ck6/encyclopedia/ETC.html
When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
Cheers.—InternetArchiveBot (Report bug) 00:23, 3 July 2017 (UTC)
thread_title:  External links modified 

message: It seems there are at least 2 distinct groups of pages (each page in a different language) for this concept.
One page in the first group is this one (in English), one page from the other group is this one: https://ro.wikipedia.org/wiki/%C3%8En%C4%83l%C8%9Bime_(geometrie)
Can these 2 groups be joined? Thank you.  — Preceding unsigned comment added by Cipak (talk • contribs) 16:46, 13 January 2018 (UTC)
replies: text: Why? What is contained in the other page that you feel should be included in this one? --Bill Cherowitzo  (talk) 19:14, 13 January 2018 (UTC)
thread_title:  Request to link articles from different languages 

message: We could mention the following formula, true when one vertex (x3,y3) = (0,0):-
Orthocentre = (k(y2-y1),k(x1-x2)) where k = (x1x2+y1y2)/(x1y2-x2y1).
This can obviously be generalised by the translation of the point (0,0) to (x3,y3) where x3 and y3 are not equal to 0. (See the video ‘how to find orthocentre shortcut trick’ on YT, which I am unable to post as a link here).
Also I’ve personally proved that the orthocentre has the form (Y1,Y2), where Y1 = a1+X1(b1-a1)/c-X2(b2-a2)/c and Y2 = a2+X1(b2-a2)/c+X2(b1-a1)/c given that we define X1 = (c^2+b^2-a^2)/2c and X2 = (c^4-(a^2-b^2)^2)/(2c*sq rt (4b^2c^2-(c^2+b^2-a^2)^2))
We can easily see the above if we first prove (X1,X2) is the orthocentre of a triangle ((0,0),(b1,0),(c1,c2)), in other words line c runs along the x-axis. Then it’s just a case of rotating the triangle and translating it from (0,0) to (a1,a2)Overlordnat1 (talk) 17:14, 19 April 2021 (UTC)
thread_title:  Orthocentre 

message: While these topics overlap substantially, it seems like orthocenter is enough of a separate topic to warrant its own article. For example, I think we could include several proofs that the altitudes of a triangle concur (in the orthocenter), but those may seem a bit out of scope here at altitude (triangle). We could also talk add a section "orthocentric simplex" (a specific type of higher-dimensional simplex whose altitudes concur). Etc.
Possibly orthocentric system could be moved to orthocenter with "orthocentric system" made into one section.
Thoughts? –jacobolus (t) 02:49, 15 December 2022 (UTC)
thread_title:  Should orthocenter be a separate article?