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Talk:History of geometry

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occur that these “Muslim mathematicians” could have been or not have been Muslims. In this case we can confirm using logistics the following: Not all MUSLIMS are ARAB Not all ARABS are MUSLIMS A Muslim is though who has taken a vow to Islam and generally refers to an Arab whom practices the Islamic religion. Therefore it is not fair to generalize that the muslims were these great mathematicians because there is no certainty that all of them were devote to their religion. In other words though, they certainly were Arab.
95: 373:), though it has often been argued that his definitions aren't that much good! However, in the context of being only 3 or 4 generations after Leucippus and 2 or 3 after Democritus, Euclid's "a point is that which has no parts" could have been a reasonable stance in stating Euclid's position with respect to atomic theory. Again, it may be useful to have a "history of geometry" section because it is sometimes hard to distinguish between Euclid's own geometry and the framework that became "Euclidean geometry". 85: 64: 31: 200: 909:(There is no evidence that Thales provided any deductive proofs, and in fact, deductive mathematical proofs did not appear until after Parmenides. At best, all that we can say about Thales is that he introduced various geometric theorems to the Greeks. The idea that mathematics was from its inception deductive is false. At the time of Thales, mathematics was inductive. This means that Thales would have "provided" empirical and direct proofs, but not deductive proofs.) 190: 169: 972:) begins: "The earliest recorded beginnings of geometry can be traced to early peoples, who discovered obtuse triangles in the ancient Indus Valley (see Harappan Mathematics)". The reference to obtuse triangles makes no sense: how do you "discover" obtuse triangles and why would this be important? The link to Harappan Mathematics is partially broken and the article it links to has no mention of obtuse triangles. -- 1117: 22: 787:
Many of those scholars were against Islam and yet Islam claims everything in that part of geography to be its own? How things become Islamic even if they are in opposition to it? Most of ancient Indian mathematics was developed by Hindu priests (or custodian of hinduism/sanatan dharma), still we call
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I have left the "20th century" section as a stub, because I am not as interested or qualified to write it. There are a couple of topics I would like to put in, but I would appreciate help on this. I think it would be good to keep the article general and self-contained, ie the reader shouldn't have to
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was part of Ionia, "Thales of Miletus" is the name under which Thales is most commonly known (along with "Thales the Milesian"). When I read that line I wondered if Thales of Ionia was a different person than the Thales of Miletus I was familliar with. When I followed the link to the Miletus page, I
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I agree. Almost the whole article is about the history of geometry rather than actually explaining aspects of geometry. If I remembered geometry well enough I would rewrite this, but I don't. It should have how to use geometry to solve problems and things like that- as it is it is not very helpful.
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This doesn't strike me as a very good way to introduce geometry to a general audience: "Geometry is a branch of mathematics concerning spaces together with some sort of symmetry relations defined on it. Objects are said to be congruent if there is a symmetry mapping one to the other, and quantities
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In the Islamic section of this article it continuously repeats the term “Muslim”. However, this is severely contradicting due to the fact that not all Arabs are Muslims. Therefore even though all Arabs TEND to be practicing Muslims, it is unfair to confuse one for the other. In rare cases it could
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1. What geometry is, distinguishing between the formal definition and the public conception of geometry. 2. What are the current fields of study in geometry. How the field divides into subfields. 3. How study of geometry is applied, and how geometry fits into maths as a whole.
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Who invented the "standard position"? How did it come about that zero degrees is in the 3 o'clock position and angle numbers increase anti-clockwise? Why don't geometry and clocks (which I think arose in the west at about the same time) follow the same conventions?
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it Indian mathematics. But in case of Islam people like Omar Khayyam who disliked the idea of Islam are called Islamic mathematician? Why we have to allow Islam baby-rules, where it can cheat and can do foul play while others have to follow rules of adult players?
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In the opening paragraph to this article I find the wording "in conjunction with mathematical definitions for points, straight lines" problematicsince points and lines, among other things, are usually left as undefined terms in Euchlidean geometry.
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I did not put "Greek geometry" in an article of its own because most of it is needed to understand the rest of the story. The reader should not have to go read a separate "Greek geometry" articlle in order to make sense of the "Geometry" article.
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until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on high-quality evidence and our policies and guidelines.
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The discussion of congruency was apparently ripped out of this page, and poorly done, as a later paragraph refers to "figures" which are not present on this page, but the context is compatible with the figures on the congruency page.
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I removed the following because it read like an opinion piece, and it contradicted the previous sentence. It may still be factually valid, so I moved it here so someone can review it. It is from the section "Thales and Pythagoras":
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lets throw a question better, why is Cavalieri's principle and gaussian elimination mentioned here and also why the chinese remainder theorem and other achievements which have nothing to do with geometry
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Seriously. The current article doesn't fit in with the ideas of wikipedia. It is too jumbled and unstructured. It should be possible to just look at the article and find what most people want to know:
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I have written the article as a historical account. Geometry is such a large and varied field, I think it would be difficult to give an adequate definition of it apart from its historical development.
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since this definition was seminal in balancing Euclidean and non-Euclidean geometry back into a single subject. (Sorry, I couldn't get this link to 'take', but there is a good article there already.)
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Users may edit the page during the discussion, including to improve the page to address concerns raised in the discussion. However, do not remove the deletion notice from the top of the page.
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The Egypt, Babylan and India ancient math history were placed ahead of China, but only China section has almost all the sources for the whole article, others did not refer to any sources, why?
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unaffected by all symmetries are called invariants. The study of invariants is the main part of geometry." Those sentences should come about eight paragraphs into the article, I think. --
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and made the change to the more familliar name. Normally I wouldn't post such a ridiculous comment for such a minor edit, but apparently this page isn't actually part of a
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the article was renamed from "Geometry" to "History of geometry" on October 2, 2006 (see edit history). This helps to understand many comments better.
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The article I have written is long, but since geometry is one of the 5 items listed under "areas of mathematics", I think it deserves a long article.
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This article is more about history and less about mathematics. When people think "geometry", they think of modern geometry, and would expect to see
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What is the relationship to trig? Is trig a subfield of geometry in general? Of analytic geometry? Do "real mathematicians" not say "trigonometry"?
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Probably Riemannian geometry and symplectic geometry and other geometries that live on manifolds should be sub-branches of differential geometry. -
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the mention of pick's theorem on this page is highly inappropriate. (and suffers from spelling issues). It should go somewhere else.
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When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
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Topology is no longer young. Noncommutative geometry isn't really geometry - it has a geometric language, but so does (for example)
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https://web.archive.org/web/20090326095515/http://www.physics.harvard.edu/~plu/publications/Science_315_1106_2007_SOM.pdf
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content on Knowledge. If you would like to participate, you can edit the article attached to this page, or visit the
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https://web.archive.org/web/20091007024019/http://www.physics.harvard.edu/~plu/publications/Science_315_1106_2007.pdf
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it is a great adventureus mathmatical subject it is a very injoyable subject to expierience i bet you'll love it.
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to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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Though these definitions are often absent from a course in Euclidean geometry, Euclid himself defines them (see
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Curves and surfaces and curvature needs to be discussed (e.g. Gauss's work). 20th century needs expansion.
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Yeah, it is good that you explained your edits. It is entirely appropriate to document your edits with an
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theory. It might be better to concentrate on Euclidean geometry, algebraic and differential geometry, and
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Why are these seperate branches? Can't those hyperbolic geometries be modeled on Riemannian manifolds? -
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I agree, as others have noted, the old article was not very good. I could not see any way to fix it.
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is currently an active area of research, especially in the area of advanced theoretical physics. --
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Objection- How come you have Islamic Geometry, why they are not called Persian or Arabic Geometry?
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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before doing mass systematic removals. This message is updated dynamically through the template
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to geometry and I suspect it does get linked when talking about things like geometric growth. --
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Everything which explores structure & spatial relationships has a 'geometric language'. --
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linking to that page which explains why it needs to be used on that page. Please check
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Should there perhaps be some mention of geometric series here? There is a redirect from
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The history section should be separated from that - if neccessary, onto another page.--
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If you found an error with any archives or the URLs themselves, you can fix them with
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when used here. In particular, for each page the image is used on, it must have an
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Last edited at 13:34, 22 April 2007 (UTC). Substituted at 02:11, 5 May 2016 (UTC)
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I don't agree with you that Topology should be considered a branch of geometry. -
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which is the youngest and most sophisticated branch of geometry which also meets
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http://www.physics.harvard.edu/~plu/publications/Science_315_1106_2007_SOM.pdf
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talk about topics in modern geometry, not about the history of geometry. —
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http://www.physics.harvard.edu/~plu/publications/Science_315_1106_2007.pdf
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What's geometry without images? This important page is seriously lacking.
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And where are symplectic geometry and Kähler geometry on your list? -
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can account for an infinite number of non-Euclidean geometries.
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That this article is linked to from the image description page.
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Really meant as a stop until something better comes along...
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on the image's description page for the use in this article.
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for additional information. I made the following changes:
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I decided to change where it said "Thales of Ionia" to "
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Image copyright problem with File:Lothal conception.jpg
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is suitable for inclusion in Knowledge according to
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would be disappointed. Seriously, it isn't far from
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For assistance on the image use policy, see 376:It might also be useful to cite Felix Klein's 932:The comment(s) below were originally left at 749:Why only the China section sites its sources? 232:History of Science Collaboration of the Month 8: 678:found that they were one and the same, so I 432:The more advanced and complex branches are: 1207:Knowledge level-5 vital articles in History 1122:A discussion is taking place as to whether 1232:Top-importance history of science articles 163: 58: 994:I have just modified 2 external links on 827:is used in this article under a claim of 465:(also called elliptic geometry) and 6b) 217:, an attempt to improve and organize the 873:"Muslim" is not the same as "Arab" . . . 241:Knowledge:WikiProject History of Science 1237:WikiProject History of Science articles 244:Template:WikiProject History of Science 165: 60: 19: 7: 106:This article is within the scope of 1227:C-Class history of science articles 1197:Knowledge vital articles in History 1130:Knowledge's policies and guidelines 864:Knowledge:Media copyright questions 49:It is of interest to the following 1222:High-priority mathematics articles 14: 1212:C-Class vital articles in History 998:. 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