105|0|alexb|05/19/2011|06:36:26|quodlibet (Guest)|Number of Factors of an Integer|Even Alexander nods%21 You say%3A %22there is no integer with exactly 48 factors%22.%0A%0A294912 %3D 2%5E15%2A3%5E2 is the smallest such number.%0A||1||1 104|0|alexb|05/12/2011|22:51:59|Andrew M-O (Guest)|Typo in function|Reference%3A http%3A%2F%2Fwww.cut-the-knot.org%2Frecurrence%2Fguess.shtml%23solution%0A%0AIssue%3A Near the bottom%2C Penrose%27s sequence%3A the func||1||1 102|0|Jon Hughes|05/03/2011|22:11:38|Julian Franklin (Guest)|Bear born on Tuesday problem|The problem was originally stated as%3A%0A%0A%22If%2C say%2C it is known that one of the bears is a male born on a Tuesday%2C what is the probability ||27||11 103|0|alexb|04/03/2011|22:48:22|jdawson|Trigonometric proof of the Pythagorean Theorem|While I find Jason Zimba%27s proof interesting%2C I am puzzled why it should have taken so long for someone to cast a proof of the Pythagorean Theorem||1||1 101|0|alexb|03/14/2011|15:13:09|David W (Guest)|Can%27t run java applets|Page ChebyshevTest.shtml offers two java applets that do not run on any reasonable security setting of IE8%2C even if I list your site as a trusted in||2||1 100|0|alexb|02/18/2011|11:46:42|Paolo Di Muccio (Guest)|Cantor Set|Do you really need compactness in the first proof that C - C %3D %3F%0A%0AIt seems to me that %7BBi%7D and %7BCi%7D converge on their own...%0A%0ARef||25||9 99|2|alexb|02/08/2011|19:41:27|Janez Lesjak (Guest)|Trigonometric proof of Pythagorean theorem %28proof 84%29.|What is actually meant by trigonometric proof of Pythagorean theorem%3F%0ATrigonometric functions are defined in analysis by infinite series. All of t||7||3 98|0|alexb|01/17/2011|23:53:43|kmdmkmd (Guest)|Small error in the proof for the Bernstein-Schroder theorem|%0AIn property %283%29 of the lemma you have%3A%0A%0AY %3D f%28X%29 U %28B - f%28X%29%29%0A%0AWhen I think you intended the Y to be B.||1||1 96|0|alexb|01/14/2011|08:24:42|Jonathan (Guest)|Isoperimetric inequality|I very much enjoyed your page on the Isoperimetric inequality %28http%3A%2F%2Fwww.cut-the-knot.org%2Fdo_you_know%2Fisoperimetric.shtml%29. I had a lo||3||1 97|0|alexb|01/14/2011|07:53:22|Alexei (Guest)|Drawing matches|The page on conditional probability calculates probabilities of drawing the short match. Among other things%2C there are several fraction divisions th||4||2 95|3|mathlover|11/16/2010|15:28:57|mathlover (Guest)|Huntington-Hill%27s voting method|I have a problem about the voting method Huntington-Hill%27s disucss in this website.%0A%0AIt seems that under the rule of this method%2C even if a pa||7||2 83|0|alexb|10/07/2010|14:19:37|C. Reineke (Guest)|Missing expression in a proof|Dear Alex%2C%0A%0Ait%27s on the page%3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fwiki-math%2Findex.php%3Fn%3DMathematicalOlympiads.USA1984Problem1%0A%||27||5 94|0|alexb|10/03/2010|12:20:09|Wayne (Guest)|error in %27Ceva%27s Theorem%3A A Matter of Appreciation%27|Stumbled across this site and hit some semi-random pages with great interest. However%2C I found what I think is an error in %22Ceva%27s Theorem%3A A||1||1 93|2|alexb|10/01/2010|14:44:08|Odinsonnah (Guest)|Missing Java Class File%3F|The Java applet at http%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FGeometry%2FPossibleImpossible.shtml%2C doesn%27t work for me.%0AThe Java console t||1||1 92|2|alexb|09/26/2010|10:08:52|John (Guest)|Properties of GCD and LCM%3A Lemma proof|I%27m confused by the proof of the Lemma for the Chinese Remainder Theorem on the page titled %22Properties of GCD and LCM.%22 The Lemma is %28or the||3||2 91|0|alexb|09/10/2010|11:18:00|Ian (Guest)|Pondering the Delian Problem|Hi%2C I was just reading the article on showing that the Delian problem is solvable and wondered about a few things. I was hoping that someone could e||2||1 4|0|nightrider|09/10/2010|11:01:51|Arie Nimkovsky (Guest)|100 Prisoners and a Light Bulb puzzle|Hi%2C the solution provided for this puzzle - both yours and Stuart Andersen%27s %28http%3A%2F%2Fwww.cut-the-knot.org%2FProbability%2FLightBulbs.shtml||186||22 90|0|mr_homm|09/08/2010|10:33:24|Don McConnell (Guest)|Proof of the Pythagorean Theorem %28and Law of Cosines%29|I thought you might be interested in %28yet%29 another proof of the Pythagorean Theorem%2C but I wasn%27t sure where to post it. %0A%0AActually%2C wha||97||15 89|0|alexb|09/07/2010|18:50:42|acco|Desargues flaw|Dear Alex%0A%0AThere seems to be a flaw in the second part of the proof%3A%0A%22The proof above then applies to the triangles A1B1C1%27 and A2B2C2%27||78||16 88|0|Modular Math|08/17/2010|23:53:36|Modular Math (Guest)|Josephus Flavius Simple Solution|There is a much easier way to solve the Josephus Flavius puzzle than any of the webpages.%0A%0ANote%3A%0AThis solution references the starting positio||0||0 87|0|Bui Quang Tuan|08/11/2010|23:53:40|Bui Quang Tuan|Maximum Area Property of Equilateral Triangles|Dear Alex%2C%0A%0AThe message is related Maximum Area Property of Equilateral Triangles%3A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Ftriangle%2FInscribedE||0||0 84|0|alexb|07/09/2010|08:35:43|C. Reineke (Guest)|Computer error|Dear Alex%2C%0A%0Athe article on the page%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Farithmetic%2Falgebra%2FScott.shtml%0A%0Ais very interesting%2C but ||27||8 86|2|C. Reineke|06/28/2010|08:54:59|John Ungar (Guest)|Newton %26 Roots|Hello everybody%21%0AI found this one %3D%3E http%3A%2F%2Fwww.cut-the-knot.org%2Fwiki-math%2Findex.php%3Fn%3DCalculus.ApproximationOfRoots%0Aon your W||9||2 85|0|alexb|06/24/2010|08:01:39|C. Reineke (Guest)|Irrational numbers|Dear Alex%2C%0A%0Ayesterday I came across your page%3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fdo_you_know%2Firrat.shtml%0A%0ANoone seems to notice t||1||1 41|0|alexb|06/21/2010|09:21:52|Dave Blake (Guest)|Pentagon Approximation Credited to Durer|The construction of an approximate pentagon from a vesica %28as in page http%3A%2F%2Fwww.cut-the-knot.org%2Fpythagoras%2FDurerPentagon.shtml%29 is oft||26||3 81|0|alexb|06/16/2010|14:45:16|Bui Quang Tuan|Another Solution For Cutting Triangles off Regular Hexagon|Dear Alex%2C%0A%0AMay be following my solution for problem %22Cutting Triangles off Regular Hexagon%22%3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Ftri||26||6 82|0|alexb|06/14/2010|13:14:33|C.Reineke (Guest)|Two typos in a proof|Dear Alex%2C%0A%0Athe typos are on the page%3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fwiki-math%2Findex.php%3Fn%3DMathematicalOlympiads.AMO2010Probl||1||1 80|2|alexb|04/12/2010|12:52:33|bennettjw|Impossible to find circle center with only a straightedge%3F|Two questions%3A%0A%0AExactly how is the given circle identified without identifying a center point or a point whose distance from the center point re||6||4 79|0|alexb|03/11/2010|18:22:45|Matt Westwood|Error on Proofreading page|http%3A%2F%2Fwww.cut-the-knot.org%2FProbability%2FProofreading.shtml%0A%0AThere%27s a reference to %22Earnst%22 Rutherford - the name is Ernest.%0A%0A||1||1 78|0|alexb|03/09/2010|11:18:19|Michelle (Guest)|Parallel Lines and Similar Triangles|http%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FGeometry%2FParallelLinesAndSimilarTriangles.shtml%0A%0A%22The problem is%3A in %26%23916%3BABC draw l||1||1 77|0|alexb|03/03/2010|10:21:15|Odinsonnah (Guest)|A Problem in Checker Jumping - Feature Suggestion|I would like to suggest a possible new feature for the checker jumping applet. I think that a reverse mode where you start with only one checker at th||1||1 76|2|alexb|01/01/2010|18:11:36|H.Gabryjelski (Guest)|Error in 12 Coins%2C 3 Weighings problem%3F|This is in reference to the generally good description of the 12 Coin%2C 3 Weighings problem.%0A%0A Given the following%3A %0AThe website indicates||1||1 75|0|alexb|12/28/2009|09:39:25|Sandy Wagner (Guest)|Proof %2328 - Pythagorean Theorem|Thank you very much for the Pythagorean proofs%2C which are very useful to me.%0A%0AI just noticed that my brother%2C Don Wagner%2C is cited in %2328.||9||5 74|0|alexb|11/15/2009|17:56:48|matthewjheaney|Ptolemy%27s Theorem and Cosines - How Does This Work%3F|On the page here%3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fproofs%2Fsine_cosine.shtml%0A%0Aa quadrilateral is inscribed in a circle having diameter ||4||1 66|0|alexb|11/09/2009|20:11:14|Jose (Guest)|Blojin game - impossible to solve%3F|I have been enjoying your Blojin game enormously %28http%3A%2F%2Fwww.ctkmathgamesforkids.com%2FRelax%2FBlojin.shtml%29. A nice logic game that me and ||12||5 73|0|alexb|10/14/2009|14:34:27|stevens|Dijkstra%27s proof of the Pythagorean Theorem|Hello%21%0A%0AI enjoy this nice site very much.%0A%0AAfter reading about Dijkstra and the Pythagorean Theorem %0A%28 http%3A%2F%2Fwww.cut-the-knot.org||7||3 72|0|alexb|09/11/2009|19:00:47|g30380|derivative sine cosine correction|The applet below gives a geometric meaning of %283%29. Note how there are always to %28sic%29 equal right triangles%2C%0A%0Atwo.||1||1 71|0|alexb|09/10/2009|07:23:26|Marc (Guest)|Nim Applet|Is anyone else having trouble with the Nim applet on CTK%3F I have tried on several machines%2C and there seems to be a problem with the applet funct||1||1 70|0|alexb|08/31/2009|00:21:20|Meep (Guest)|Horner%27s Method|A minor error on this page%3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FCalculus%2FHornerMethod.shtml%0A%0AOn Horner%27s method here the s||1||1 69|0|alexb|08/23/2009|11:34:55|Bryan Clair (Guest)|Error in cubic formula|There%27s a mistake on the CTK-wiki page about the Tartaglia-Cardano derivation of the solution to cubic equations.%0A%0AThe derivation sets x %3D p -||1||1 68|0|alexb|08/17/2009|08:03:10|sejeongy|applet problem%3B a line in a square grid|Hello.%0A%0AI was looking at the applet %22A line in a square grid%22 at http%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FGeometry%2FLineThroughGrid.s||3||1 67|3|alexb|08/08/2009|12:50:42|mecoffey|parabola proof|I%27m updating a list of resources prior to re-publishing the list. One resource gives the following link for a proof%3A%0A%0Awww.cut-the-knot.org%2F||1||1 65|0|alexb|07/10/2009|11:24:47|enpassant (Guest)|12 coins%2C 3 weighings puzzle|All the solutions to the puzzle I came across all using 4 coins on each pan. Is there another way to find the fake coin and determine whether it is he||1||1 64|0|alexb|07/09/2009|08:00:58|ram|Menelaus%3A an unnecessary requirement in a proof%3F|Hello Alex%2C%0A%0AI have a comment concerning a proof of Menelaus%27s Theorem that is presented during the discussion of Einstein%27s remarks on eleg||5||3 63|0|alexb|07/06/2009|13:58:34|ram|On the barycenter proof for Ceva%27s theorem|Hello%2C and thanks for this wonderful site%21%0A%0AThere seems to be a confusion in the Barycenter section of the Ceva%27s theorem discussion %28 htt||2||1 62|0|alexb|06/08/2009|15:01:16|Logics Dogsbody (Guest)|Puzzle of Identical Twins| Suppose there are two identical twin brothers%2C one who always lies and the other who always tells the truth. Now%2C the truth teller is also total||1||1 61|0|alexb|05/30/2009|22:33:27|or1304|cutting a 9x11 rectangle into a 10x10 square|Hello. I was looking at this puzzle which allowed you to cut a 9x11 rectangle into a 10x10 square%2C link is http%3A%2F%2Fwww.cut-the-knot.org%2Fpytha||1||1 60|5|alexb|04/16/2009|22:01:49|Robert Swartz (Guest)|Towers of Hanoi|I am changing the web url of my site to www.neiu.edu%2F%7Erjswartz||1||1 59|0|lutzdc|03/28/2009|15:13:52|lutzdc|Another solution of 60-70 variant of 80-80-20 triangle|Someone passed me this triangle and asked me to find the angle CED. Of course I got sucked into the 4 equations%2C 4 unknowns path and figured out th||0||0 58|0|alexb|03/17/2009|14:20:56|kate (Guest)|error in pythagorean theorem proof %25236|In Proof %236%2C should it start%2C %22We start with original RIGHT triangle ABC...%22 and also%2C when listing the similar triangles in the second se||1||1 57|0|alexb|02/20/2009|21:59:29|Aaron (Guest)|Irationality of root 2|There are already several versions of a geometric proof by infinite descent so maybe another isn%27t needed. BUT I did not see this version%28 maybe I||5||3 56|0|alexb|02/05/2009|11:57:03|Browser (Guest)|Possible typo in Pythagorean Theorem page|Thank you for your site.%0A%0AThere seems to be a typo here%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fpythagoras%2Findex.shtml%2381%0A%0Awhere it says%3A%||1||1 55|2|alexb|01/31/2009|12:07:55|Pau Murray (Guest)|Writing an applet|Would you be interested in an applet I write%3F I%27m thinkng of doing one for the %22train travelling through a tunnel at relativistic speeds%22 para||1||1 54|0|alexb|01/19/2009|09:55:11|stewart mcw (Guest)|frieze patterns|Has the table atop the Frieze Patterns page been checked%3F Surely the final two rows of the table%2C F6 %26 F7%2C are incorrect.%0A%0AOr else%2C ple||1||1 53|0|alexb|11/16/2008|08:51:06|miguemate22|Error in Fractal Curves and Dimensions|Hello everybody%2C I am new on this forum%2C I read this about fractal dimension and in this parragraph%0A%0AThe similarity dimension of the snowflake||2||1 51|0|alexb|11/09/2008|08:37:38|David Bump (Guest)|Moebius-cut torus|I %22discovered%22 something I assumed had already been known%2C but I%27ve searched in vain for a site that stated it plainly and clearly. It%27s thi||2||1 52|0|alexb|11/09/2008|08:26:00|Name|Pythoagore %26 intersecting chord theorem|Hello there%2C%0A%0A I find the seventy and so proofs of Pythagore%27s theorem really worth of interest. A great thank to those who contributed to it||4||1 49|0|alexb|09/25/2008|09:05:19|David (Guest)|Possible mistake in %22What Is Geometry%22|I was just reading through the %22What Is Geometry%3F%22 article %28http%3A%2F%2Fwww.cut-the-knot.org%2FWhatIs%2FWhatIsGeometry.shtml%29. The final pa||1||1 46|0|madisonv|08/26/2008|16:24:41|madisonv|site questions|Hello%2C%0A%0AI am launching a web site in support of math topics. I am glad I stumbled across this site since there are some super complex questions||3||2 45|0|alexb|08/25/2008|23:08:57|Mensanator (Guest)|Collatz poem|RE%3A%0AA Mathematician%27s Nightmare%0A...while odd ones climb%0Aby half themselves%0Athen half a dollar more%0Ato keep the numbers whole.%0A...%0A%2||1||1 44|0|Pierre Charland|08/18/2008|08:36:12|Giorgis (Guest)|You can drill a square hole|You have an attention grabber by stating %22One can even drill square holes.%22%0A%0Aand later you state with emphasis %22No - you can%27t drill squar||123||2 14|0|sks23cu|07/09/2008|07:54:44|Ruthe|Plural of Abacus|Your page at http%3A%2F%2Fwww.cut-the-knot.org%2Fblue%2FAbacus.shtml uses the misconcieved plural for abacus i.e abaci. I quote a paragraph from http%||68||2 43|0|sks23cu|07/09/2008|07:54:44|sks23cu|A Simple Pythagorean Proof Using GeoGebra|See %22A Simple Pythagorean Proof%22 on%0Ahttp%3A%2F%2Fwww.geogebra.org%2Fen%2Fwiki%2Findex.php%2FPythagoras%0A%0AOr click here%3A http%3A%2F%2Fwww.ge||0||0 42|0|alexb|06/29/2008|20:02:07|azi|fusc pseudocode|I was looking today at the fusc pseudocode residing at %3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fblue%2FFusc.shtml%0A%0AIt is my opinion that the c||1||1 40|0|alexb|05/14/2008|09:42:47|David Turner (Guest)|Josephus Flavius %28correction%29|Sorry%2C I transcribed the last case of the mathematical version of the solution incorrectly%3B it should have been %28f%28n-q%2C p%29 - r%29%28p%2F%2||3||1 39|0|David Turner|05/14/2008|08:17:15|David Turner (Guest)|Josephus Flavius - a generalized solution|Hiya... I%27ve derived a general solution for the Josephus Flavius problem%2C but it%27s a bit awkward to express in conventional mathematical notatio||0||0 38|0|alexb|04/19/2008|23:36:10|alexwajn|A typo in|In the page%3A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fpythagoras%2FRationalTrig%2FCutTheKnot.shtml%0A%0Ain the chapter %22Main laws of rational trigono||1||1 37|0|alexb|04/11/2008|13:18:25|james (Guest)|very tiny correction|http%3A%2F%2Fwww.cut-the-knot.org%2Fproofs%2FWhy17.shtml%0A%0AIn %22The only odd numbers not covered by the theorem are those in the form 4n %2B 1%3A ||1||1 31|0|alexb|04/10/2008|13:49:10|Grapes|Pythagorean Theorem Proof -- Trig or Not%3F|Over at BAUT %2C we%27ve been reading the Pythagorean Theorem page%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fpythagoras%2Findex.shtml%0A%0AVery nice%2C a||54||7 36|0|alexb|03/30/2008|10:35:34|amphibius jones (Guest)|Integer Points on a Circle|The page for this interesting problem %0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2FSimpleGames%2FIntIter.shtml %0Aseems to contain glaring errors. The state||1||1 35|0|alexb|03/11/2008|18:08:28|sloan despeaux (Guest)|applets|I bought 3 applets%2C but did not see any link for me to download them. Please help%21%21||1||1 34|0|alexb|02/28/2008|11:55:26|bole79|Bertrand%27s Paradox|I love the site and would like to point out a %22tiny%22 mistake in the article ... It%27s written above the last double applet%3A%0A%0A ... for the||2||1 33|0|alexb|02/21/2008|15:28:43|kakatooie|Amoeba%27s survival problem.|This is in regard to the Amoeba%27s survival problem%2C which asks%3A%0AGiven one amoeba%2C who has a 3%2F4 chance to split into two identical amoebae||1||1 32|3|alexb|02/11/2008|22:35:16|tooky33|Error on Pascal%27s Theorem page|I am trying to reach someone in charge of this site. I am writing a research paper on Pascal%27s Hexagon theorem and I had found an excellent link fr||3||2 29|0|alexb|01/31/2008|12:14:46|Amic (Guest)|Morley%27s theorem. little error on comment on proof by Zsolt|On this page %3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Ftriangle%2FMorley%2FMorleyZsolt.shtml%0A%0AI read%0A%22%0AThere are two special cases that s||2||1 30|0|alexb|01/31/2008|11:10:58|Rakesh MISRA (Guest)|Mohr-Mascheroni construction%3A a square from a side|Dear Alexander%2C%0A %0AI am a mechanical engineer and work as Chief Design Engineer in Indian Railways.%0A %0AThank you for a delightful site. It is||2||1 28|0|alexb|01/25/2008|20:28:04|Pierre Charland|CTK - Math Magic - Geometry Junkyard|Just a comment.%0AI%27ve been checking this CTK simple website for quite many years %2810 maybe %3F%29. It grew slowly%2C but I must say I am now impr||5||1 27|0|alexb|12/24/2007|09:15:30|quintopia (Guest)|JavaScript on the Probability page|On the page at%3A http%3A%2F%2Fwww.cut-the-knot.org%2Fprobability.shtml%0A%0AI have some suggestions about the selection javascript.%0A%0A1%3A When th||1||1 26|0|alexb|11/14/2007|16:47:43|Andy Gaus (Guest)|Diagonal of a square with side 5%3A not square root of 5|On this page%3A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fdo_you_know%2Fnumbers.shtml%23visualize%0Athe discussion of irrational numbers speaks of the squ||1||1 25|0|alexb|10/30/2007|14:02:08|sbjnyc (Guest)|Error in proof|I was on http%3A%2F%2Fwww.cut-the-knot.org%2FGeneralization%2Fpythagoras.shtml and found a minor error you may want to correct. The proof starts with||1||1 23|0|alexb|10/09/2007|11:02:22|sarathian|An interesting isosceles triangle.| Here is a beautiful puzzle from geometry for all members.%0A ABC is an isosceles triangle with AB %3D AC. A perpendicular PQ is drawn on AB at||20||4 24|0|alexb|10/07/2007|12:38:32|Doug Ort|Error in Cut The Knot Site|On http%3A%2F%2Fwww.cut-the-knot.org%2FGeneralization%2Ffermat_point.shtml%2C in the second line of the discussion after Solution 1 there is the follo||1||1 22|0|alexb|10/03/2007|07:52:02|V Paul Smith Jr (Guest)|3-Point Even-Spaced Pidgeon|In reference to%3A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fpigeonhole%2Feven_spaced.shtml%0A%0AWould another simple proof be this%3A%0A%95 Consider the ||1||1 21|0|alexb|09/29/2007|12:50:35|chris (Guest)|base fields|okay that didn%27t work too well.. let%27s try this again%3A%0A%0A%0A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fblue%2FModulo.shtml%0Aafter the field a||2||1 19|0|alexb|08/24/2007|15:37:27|Monty Phister (Guest)|Fermat%27s Theorem %28NOT his Little Theorem%29|Fermat%27s theorem of stationary points was sort of a precursor to calculus%2C in that it told how to find minima and maxima. But I don%27t seem to fi||2||1 18|0|alexb|08/10/2007|19:02:03|athamm2|Help%21|I ordered an applet today but my email address was wrong ... I had an n where there should have been an m ...I dont know where to correct the email ad||17||7 17|0|alexb|08/06/2007|08:10:48|Brice (Guest)|The Lewis Carroll word ladders|The http%3A%2F%2Fwww.cut-the-knot.org%2Fbooks%2Fnatnum%2Fsample.shtml page lists Make KETTLE HOLDER as no solution. Here is a solution%3A%0A%0Akettle||1||1 16|2|alexb|07/04/2007|01:37:13|xordan (Guest)|digits sum|Hello%3A %0AI have found that if two numbers A and B sum C %28A%2BB%3DC%29%2C the sum of the digits of A %2B the sum of the digits of B is similar ||1||1 15|0|alexb|06/09/2007|11:41:17|Mattman (Guest)|The impossible Compass|When I was googling for stuff%2C it took me to the impossible things homepage%2C intro thing. There%2C there was a sentence that stated you can%27t d||6||1 13|0|alexb|05/31/2007|09:08:40|sfwc|Signs and sums in a sequence|A note on http%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FAlgebra%2FNegPosSum.shtml%0A%0AIf n is not 0 mod 3 we may easily find a sequence for which ||7||1 12|0|Winnie|05/24/2007|16:02:05|Winnie|Applet problem|Hi%0AA cut the knot applet fails to work %28on the three computers I have tried%29%3A%0AI accessed it from page http%3A%2F%2Fwww.cut-the-knot.org%2Fbl||9||2 11|2|alexb|04/27/2007|06:51:53|Balakrishna (Guest)|WHACKING the site|hi%2C%0A this site is so helpful. so i decided to read the complete site before my exams. i am doing so. but sometimes when i request a link%2C it is||5||3 10|0|alexb|03/31/2007|23:21:08|ricardo|Larry Hoehn generalization of the Pythagorean theorem|Nice theorem%21%21%21%0A%0AOne interesting thing to notice is that the point C can be outside the segment AD%2C but then on the reversed direction %22||3||1 9|0|alexb|03/24/2007|20:07:33|Bill Malloy (Guest)|Notes for Secant Angles in a Circle|The opening paragrapph includesthe phrase%3A%0A%0AConventionally%2C the secant angle equals half the sum ...%0A%0AThe equality isn%27t conventional%2C||4||3 8|0|alexb|03/20/2007|13:56:26|Bill Malloy (Guest)|Edits for Power of a Point|I noticed a couple of minor problems in this article.%0A%0AThe sentence%3A %0A%0AThe common value of the products is then depends only on P and the c||1||1 7|0|alexb|03/07/2007|18:40:03|alexb|4 dimensions|Hi%2C I got an other way to show 4 dimensions on %0A%0Ahttp%3A%2F%2Fcontact.dec.free.fr or directly on http%3A%2F%2Fcontact.dec.free.fr%2FUNIVERS%2FUn||0||0 6|0|Joe Gibson|03/04/2007|00:28:19|Joe Gibson (Guest)|What a delightful site%21|It was a pleasure to browse your site. Your manifesto gives me much better words than I previously had for explaining my love for mathematics. I am ||0||0 5|0|alexb|02/23/2007|11:00:35|Chris (Guest)|Error in the comparing imaginary numbers page|In the page that talks about comparing imaginary numbers %28 http%3A%2F%2Fwww.cut-the-knot.org%2Fdo_you_know%2Fcomplex_compare.shtml %29 you mention a||1||1 3|0|alexb|01/28/2007|07:55:26|Chris (Guest)|Bear cubs problem|Hi%2C%0A%0AGreat site%21%0A%0AI know that spotting errors in probability puzzles is like looking for for water in the desert - most of the %27errors%2||29||5 1|0|alexb|01/07/2007|10:20:14|alexb|A new forum|This forum is intended as a replacement for the old Guest Book which became an attraction to all kinds of spammers and now requires protection from ||18||2 2|0|alexb|12/18/2006|18:50:07|sfwc|A few suggestions.| %3A%0AThe properties mentioned as equivalent appear not to be. The last three are true for any quadrilateral%2C whilst the first is equivalent to P %||6||5