Talk:Steiner's Chain
Contents
- 1 Messages to the Future
- 2 References and Footnotes
- 3 Good Writing
- 4 General comments
- 5 Section-specific comments
Messages to the Future
- Provided precise suggestions for what could be added in the future
- The applet on the Inversion Page does something similar to the applet that you want. Did you put up a request on the Math Tools Requests page?
- I didn't put up a request on the Math Tools Requests page, I wasn't aware I could have applets made until just recently!! So, what I did was on my page where I suggested the reader go to the Inversion page, I also mentioned that there is a very valuable applet showing how to invert a circle over another circle on that page. Maybe if they are slightly confused with inversion they will result to going to read the other page!! I would put a request up, but today is my last day working...if you think I should have an applet instead of asking a future student to work on that (Messages to the Future) I could work on getting one next week while I'm at home...
References and Footnotes
- Provided references of all websites and articles used at the bottom of the page
- Gave credit to image creators in all circumstances
- Images throughout the page (speaking of those excluding the main image) show how they were created by me by clicking on the image
Good Writing
- Applied all of the suggestions I received for this page
- Went through numerous drafts and had the page reviewed by many students as well as my professor
Context
- Full of context, especially at the beginning of each section as well as between steps in mathematical equations
- I didn't include a "Why it's Interesting" section because I was unable to find any real-world applications of this topic, even though one was suggested to me on this discussion page by a fellow student, I wasn't able to locate any verifiable sources to prove this.
Quality of Prose and Page Structuring
- Provided a purpose for each section and included it in the first few sentences of the section.
- In the "Basic Description" I tried to layout exactly what I was doing for the reader
- The paragraph that begins "With these measurements we can say that" is confusing. I suggest breaking all equations onto different lines, since they run into each other right now. Also, try to provide the justification for the equation before you write the equation instead of after.
*I'm having trouble understanding the relevance of the following sentence to the rest of the page: "When two circles are concentric, the area of the annulus in between is the area of the large circle minus the area of the small circle: "
- You're right, without an explanation as to why this is on the page, it does look like it doesn't belong. I just included a few sentences explaining why I think it's important to have the equation there .
- Rebecca 13:05, 22 July 2011 (UTC) “Now, a Steiner chain does not always have to consist of a circle inside the other” This is unclear to me. Do you mean “Now, a Steiner chain does not always consist of a collection of circles within one larger circle”?.
- I reworded the little paragraph, I hope that now it makes more sense, I also provided an image that is hidden. Maybe by looking at that the explanation will make more sense.
- “The image on the left, Figure 3, represents a closed annular chain whereas the image on the right, represents the Steiner chain that is obtained by inverting Figure 3 over a circle.” No comma after right.
- Thanks! I corrected that grammatical issue!.
Integration of Images and Text
- Used many many images to explain my topic
- Constantly encouraged my reader to refer to my figures
Connection to other Mathematical topics
- Provided one link to another page for readers to refer to for a better explanation of a specific term
- We have a page on Inversion that definitely should be linked by your page. Also, since your algebraic discussion very closely mirrors Problem of Apollonius, that page should also be linked.
Examples, Calculations, Applications, Proofs
- Provided numerous thorough examples
- Included proofs where necessary
- Included context between difficult steps in algebra
- Is there a way to construct other annual steiner's chains by using polygons other than triangles? It'd be great to have a note about whether or not you can use the same process with other regular polygons.
- I didn't see any change related to this comment.
- In the first paragraph under the "Creating a Steiner Chain From Scratch" section, I included a few sentences explaining that the equilateral polygon one chooses determines how many tangent circles will be in the annulus.
- You need to explain a bit more of how you go from this statement "1. We can see that C, B, C', B' form a quadrilateral and one of the most basic theorems about quadrilaterals says that their opposite angles are supplementary." to the angle equality below it. You definitely skip a step of reasoning that should be stated explicitly.
- Rebecca 13:06, 22 July 2011 (UTC) Your proof for the radii ratio could use some transition sentences like you have in the previous section. What about something like “Multiplying both sides by (R+r) gives us…” after the first equation. Then “Distributing the sin(pi/2)” can go between the next two equations. You get the picture, but I think that would help people be less intimidated if there were transitions instead of just having a block of equations.
- Thanks, does look a little intimidating! I put in some simple transition sentences!
Mathematical Accuracy and Precision of Language
- Tried to clearly explain topics in the most simple words
- Included mouse-overs very often
- In your basic description, can you clarify if Steiner's Chains have to have one circle totally inside another? That seems to be the case, but you don't say it explicitly
- This sentence: "points C' and B' are concyclic as are points C and B." is confusing given your definition of concyclic. Points C' and B' don't lie on the same circle as you show in the image, rather one is the center and the other is on the outside. Can you clarify what you mean?
Layout
- Organized well, with little white space
- Utilized features such as hide/show as well as mouse-overs
- Organized into understandable sections
- I'd encourage making this sentence: "By inverting points along all the circles of the Steiner chain, another can be formed that differs slightly from the original but still maintains the properties specific to Steiner chains (which are mentioned above under "Basic Description")". it's own paragraph. That will make the reader pause more after the link to inversion and click the link if they need more information
- Great idea, I made it into its own paragraph!
General comments