2351|0|alexb|04/29/2011|17:10:57|nyric|Regarding %22Rational Solutions to x%5Ey %3D y%5Ex%22|Perhaps it is obvious to some%2C but %28 %28x%2B1%29 %2F x %29 %5E x  converges to e.%0A%0AAnd same for %28 %28x %2B 1%29 %2F x %29 %5E %28x%2B1%29. %||1||1
2350|0|Derren|03/26/2009|16:45:09|Derren|An odd generalisation of prime roots and chance|I left school a %22Cut the Knot%22 kind of guy%2C Occam%27s razor states %22Entia non sunt multiplicanda praeter necessitatem%22. It means the simples||0||0
2349|0|billmillar|10/28/2008|12:26:48|billmillar|Three Concurrent Circles|Bill Millar%0A I have seen several three-circle theorems on CTK%2C but not this one. I came across it by generalising an unpublished result of Brian S||7||2
2347|0|alexb|09/09/2008|09:08:42|Bui Quang Tuan|Circles through the Orthocenter|Dear Alex%2C%0A%0AI suggest one another proof for%3A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FGeometry%2FCirclesThroughOrthocenter.shtml%0A%||16||3
2348|0|alexb|08/26/2008|19:20:47|Bui Quang Tuan|Triangles With Equal Area|Dear Alex%2C%0A%0AI suggest one another proof for %22Triangles With Equal Area%22%3A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FGeometry%2FEqu||22||5
508|0|bole79|02/28/2008|10:28:52|Max (Guest)|Mistake on the page %28an aside%2C Bertrand%27s Paradox%29|Dear Alexander%2C%0AI found a mistake in your thoughts in the subject Bertrand%27s Paradox%2C an Aside.%28http%3A%2F%2Fwww.cut-the-knot.org%2Fbertrand||93||4
2346|0|alexb|02/13/2008|15:39:56|dks|buying the site contents for offline use|I visited this site after a coupel of years again. That time %28I think in %282002%29%2C the site contents were available to buy on CD for offline vie||1||1
2345|0|alexb|02/06/2008|07:54:10|kapilkim|Twelve Balls puzzle|we have twelve balls%2C one old style two pane weighing balance %2C one marker pen . %0Aeleven are perfect by weight %2C one is defective either heavy||1||1
2344|0|alexb|10/31/2007|08:55:21|Bui Quang Tuan|Another Equal Area Triangles|Dear Alex and All%2C%0APlease look at interesting fact of two equal area triangles in parpolygon in the page%3A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2F||3||1
2343|0|alexb|10/03/2007|15:16:52|sarathian|A challenging puzzle involving an isosceles triangle.| ABC is an isosceles triangle with vertex angle %2F_BAC %3D 20 degrees and AB %3D AC. Draw %2F_BCD %3D 60 degrees %3B D lying on AB.%0ADraw an arc wit||31||5
610|3|sarathian|09/15/2007|07:26:35|Hemanth Kumar (Guest)|Algorithm|Please give me the algorithm to test whether the numbers represent the sides of a right angle triangle.||96||2
2342|2|mpdlc|07/08/2007|16:00:52|Balf|Scalene triangle angle to side relationships|Hello.   If a scalene triangle has a base with known length and one side with a length of one third of the other%2C is there any relationship between ||4||1
2341|0|KaraokeQueen312|06/14/2007|18:53:48|KaraokeQueen312|The CTK Exchange Forum|This site is great%0AE Taylor||0||0
2340|0|BakersGirl|06/13/2007|11:01:47|BakersGirl|math is...|The reason why people don%60t like math is becasue they don%60t understand it and son%60t get me wrong i am not a geek or anything but i mean like the||0||0
2339|0|BakersGirl|06/11/2007|13:24:17|BakersGirl|This site is...|I like this site because...%0A1.its the closet thing to an e-mail address that my mom will let me have %0A2.it helped my pass the 7th grade.You don%60||0||0
2338|0|BakersGirl|06/11/2007|13:24:17|BakersGirl|puzzle trouble|OK my math teacher taught us a puzzle that is very difficult to crack.This is what its called%2CGas%2CWater%2CElectric.Do you want to know how to play||0||0
2333|0|SamIsTheBomb|05/09/2007|12:44:00|alexb|Members post to this forum|Due to an inordinate amount of spam %28automated%29 posting to this forum it will now require membership verification to post here. Members and others||162||1
2337|0|CrAzY TrAiN|05/09/2007|12:44:00|CrAzY TrAiN|this sight is cool|this site has many educational games that help students %28like me%29 learn. by the way%2C it is my birthday. this site is awesome%2C and all you math||0||0
2336|0|mpdlc|04/09/2007|14:48:52|Dovid|Ptolemy%27s theorem - cannot figure out how to apply|I am a retired high school math teacher.%0A%0AI am tutoring a student%2C but can%27t for the life of me know where to begin on this problem%3A%0A%0AA ||19||6
2300|0|alexb|11/13/2006|07:35:40|eric derobert|infinity %26 probability|This is just a remark about %0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2FProbability%2Finfinity.shtml%0A%0AI agree that the individual probability for each ||1||1
404|0|selene|10/28/2006|06:35:01|Merrovingian (Guest)|Response to Stephan Hradek riddle|It went like this %22Someone was sentenced to death%2C but since the king loves riddles%2C he threw this guy into a room with two doors. One leading t||128||8
1928|0|alexb|10/12/2006|22:38:56|Green_Monkey23 (Guest)|Small problem...|Sorry for your time.... Why i can%27t see images on this resource%3F%0AMy Browser is%3A Opera.%0AThank you.%0A||2||1
1549|0|Edward|09/20/2006|22:30:28|Edward Lwin (Guest)|I struggle with maths but i want to love it.|im in 5th year of high school and i really want to love maths but i struggle with it. My grade arent really good%2C im failing senior maths and its ma||17||4
1683|0|alexb|09/14/2006|08:56:05|SBoone (Guest)|Two Numbers Guessing Game trouble|This is such a great web site%2C I love it%21  Math %22magic tricks%22 are a favorite of mine%2C but I am having trouble with the %22Two Numbers Guess||1||1
1663|0|Marcel Morisse|09/09/2006|08:17:35|Marcel Morisse (Guest)|Pell Equation|Lovely derivation. Interesting lattice. triangular meets square. ||0||0
1654|3|alexb|09/07/2006|18:30:44|jmbauman|Hummer%27s Mind Reader applet doesn%27t work for me|Hi%2C%0AFound this site researching Bob Hummer%27s mathematical trick.  Tried the applet %28even with google pop up blocker disabled%29 and nothing wo||1||1
1554|0|alexb|08/24/2006|14:43:09|Dr Iyengar (Guest)|Morley%27s theorem%2C Newman%27s proof|I was reading the proofs of Morley%27s theorem by various people. A reference has been made to an geometrical proof by Narayaniengar circa 1907. The n||1||1
1433|0|fromlebanon|08/05/2006|16:45:21|Bilbo (Guest)|Lebanon Israel conflict|What do you think about current event in the Near East%3F %0AHow long will this conflict be lasting%3F Are you for or against Israel%27s position%3F%0||5||3
1331|0|frida18|07/26/2006|23:04:39|frida18|Another solution to 3 Jugs problem%28with 6%29|0 0 8%0A0 5 3%0A3 2 3%0A0 2 6%0A2 0 6%0A2 5 1%0A3 4 1%0A0 4 4%0A||0||0
1289|0|alexb|07/24/2006|15:40:10|Prasanna Meda (Guest)|Another solution to geoprobability problem|The solution http%3A%2F%2Fwww.cut-the-knot.org%2Ftriangle%2Fgeoprobability.shtml uses the bary centric co-ordinates. I think it is easy to map the pos||1||1
1105|0|Rashad|07/12/2006|12:39:26|Rashad (Guest)|Praise|Love this site - maybe some people have unreal expectations - but we %28the family and me%29 love it. Thanks and cheers from Australia||0||0
1034|0|sfwc|07/07/2006|19:16:46|pat  (Guest)|Cutting a Cake into 8 Pieces with 3 Cuts|how exactly can you Cut a Cake into 8 Pieces with 3 Cuts%3F%3F%3F||5||2
615|0|AlexCops|06/07/2006|21:27:26|AlexCops (Guest)|I try to find| Hey%21%0AWhere is here some list about site creators%3F%0AI%27m need it.%0A%0AFor example%2C as here -  Google %2C I%27m really have seen it%0Ahere.%||0||0
584|0|alexb|06/07/2006|12:14:49|Frederic12 (Guest)|Information for reading|On May 30%2C Amazon spammed its customers with advertisement of Norman%0AFinkelstein%27s virulently anti-Semitic book%2C Beyond Chutzpah%3A on the%0AM||6||2
578|0|LULU|05/31/2006|15:28:31|LULU (Guest)|SITE|HALF OF THE GAMES DON%27T WORK AND THEY ARE HARD TO UNDERSTAND%21 MAKE BETTER INSTRUCTION%21%21 AND WHAT IS A BOGUS NIM%3F%3F%3F%3F%3F%3F HOW ARE WE S||0||0
564|4|Carl Angiolillo|05/24/2006|09:32:46|Carl Angiolillo (Guest)|Java Geometry Library|Awesome site%21 I especially like the interactive models at http%3A%2F%2Fwww.cut-the-knot.org%2Fctk%2FSimsonLine.shtml page. They%27re quite a bit of ||4||2
539|3|alexb|05/15/2006|06:15:33|sshiehian|New proof for pythgoras theorem|How can i publish a new proof for pythgoras theorem on this site%3F||22||5
530|0|alexb|05/02/2006|14:15:30|reb_sab1492|Problem with the Floor van Lamoen Pythagorean Proof|Okay%2C so this is an example of the proof i found on a site%3A%0A%0AThis is another proof by Floor van Lamoen%3B Floor has been led to the proof via ||1||1
266|5|Puzzler|05/01/2006|06:12:50|Eriko Ibe (Guest)|A number puzzle site|There is a number puzzle site using Java applet Puzzle Japan %28http%3A%2F%2Fwww.puzzle.jp%2Findex.html.en%29.  There are five puzzles%2C number place||183||2
529|0|alexb|04/30/2006|06:24:25|AlexCoppas (Guest)|Perfect%2C I love it| Heh..%0AWhere is here some web gallery about site creators%3F%0AI%27m need it.%0A%0AFor example%2C as here - http%3A%2F%2Fwww.google.com - Google%2C ||1||1
527|3|Kelly|04/25/2006|10:37:35|Kelly (Guest)|Sophie Germain|I need help on a project that I%27m doing on Sophie Germain. I%27m trying to prove her theory%3A x5 %2B y5 %3D z5%2C so far it%27s not going very well||0||0
526|3|Emma|04/25/2006|10:37:35|Emma (Guest)|Sophie Germain|I need help on a project i%27m doing. I%27m trying to prove Sophie Germain%27s theory on x5 %2B y5 %3D z5. She also did some things on prime numbers %||0||0
524|5|Adi|04/02/2006|06:01:39|Marc Le Nabec (Guest)|Basic math%2Ftrigonometry|Hi%21%0A%0AFirst %3A sorry for my english%2C my first langage is french.%0A%0A2. I can%27t post this stuff in math forum because I have only yahoo.ca ||1||1
521|0|Yogesh Janghel|03/29/2006|07:04:12|Yogesh Janghel (Guest)|Bertrands Paradox|Hi%0ADont know whether the solution is correct or not.But i think if we draw a circle and then inscribe a triangle say ABC.%0AThen draw a tangent to t||0||0
520|2|alexb|03/25/2006|12:14:37|Rob_Hodges1|applets|Dear Sir%2C%0AThank you for an excellent site. I had a look at a few things and the applets appeared and I was able to use them%2C but then I came bac||1||1
519|0|The Logic Zone|03/24/2006|19:09:37|The Logic Zone (Guest)|Great Site%21|Hi there - %0A%0AI only just came across your site and I could be busy here for weeks%21  It%27s great%21%21%21%0A%0AI%27ve also been reading your %22||0||0
518|0|Junie B. Jones|03/23/2006|18:00:02|Junie B. Jones (Guest)|STUFF%21|Hello there my fellow friends%21This website is HIP HOPPIN%21 This WEBSITE IS VERY VERY VERY VERY VERY COOL%21%0A%0AJunie B. Jones%28friend of Emeila ||0||0
517|0|Emelia Barber|03/23/2006|18:00:02|Emelia Barber (Guest)|Stuff|         HIIIIIIII%21%21%21%21%0A   This web site is really cool%0A   I learned a lot%21%21%21%0A   I reallly really really really liked%0A   the illu||0||0
513|0|marcus|03/18/2006|07:51:21|Pilar (Guest)|Let%27s see|Hi%2Ci have a silly %22game%22 for you to play with.%0AMaybe it has appeared before%2C but it%27s fun anyway.%0AHere it goes%3A%0Ax%3D1%0Ax%5E2%3D1%0A||4||1
512|0|alexb|03/11/2006|00:46:18|G.S. Chandy (Guest)|%22A magical site%22|In response to a question raised at a %27math forum%27 to which I subscribe%2C I had posted linkS to your general C-T-K site and to your 58%28%3F%29 p||1||1
511|0|alexb|02/26/2006|15:19:40|benchun|Inscribed and Central Angles|First%2C thank you for this web site.  It%27s a wonderful resource.%0A%0ASecond%2C I believe I may have found two mistakes in your page entitled Inscr||1||1
510|0|alexb|02/24/2006|09:31:22|Akira Bergman (Guest)|Ford%27s touching circles|Is there a mistake at%3B%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fproofs%2Ffords.shtml%0AI can not fill in the proof that bc-ad%3D1%3B%0A%0AAC%5E2 %3D AB||1||1
509|0|mayaiyer|02/22/2006|14:22:03|mayaiyer (Guest)|interesting|hi this is one of the most interesting sites i have come across%0A ||0||0
507|0|Guy|01/28/2006|14:09:19|Guy (Guest)|incoherent|The quantities of water %283%2C5%2C8%29 in the applet bear no relation to the quantities of the container in the 3 Jugs story %285%2C11%2C13%29 nor to||0||0
505|0|alexb|01/25/2006|23:43:34|krkaplan (Guest)|Monty Hall Problem|I just discovered this wonderful site and meandered over to the Monty Hall problem. I%27m sure others have lent this insight%2C but I%27ve always foun||1||1
506|2|alexb|01/25/2006|18:06:33|Mollie (Guest)|Missing Game%3F|Hi - I really like your sita and have visited before.  But this time I noticed that Euclid%27s game %28and %22Divisibility criteria%22%29 seem to be m||1||1
459|0|M|01/11/2006|14:48:48|Carlo Quita (Guest)|My method was not accepted|I am good at math and they say im a visual mathematician because i easily see patterns in things and problems and thats why my classmates rely on me a||44||2
499|0|akbar|12/18/2005|18:56:52|akbar (Guest)|first|i like this web site%2Cthanks||0||0
498|0|alexb|12/16/2005|12:27:27|Person (Guest)|Farmer and Wife to Catch Rooster and Hen|Um there is an answer to the 7x7 It is possible to catch the rooster and the hen. You must box in one chicken%2C then you must box in the other.  Then||3||2
493|0|ben|12/16/2005|11:26:16|AnnaelizaWooten (Guest)|Found this web site  love it.|This is something I have been looking for to help me with math some problems I can really use. I go a CD from RightAid drug store%2C and it was on Puz||18||3
496|0|Aree|12/09/2005|08:54:08|Aree (Guest)|Mathematics with magics|Dear Sir%2C%0A%0AVery good website%2C I have viewed good things here. Basically I am a Mathematician so I loved to see this website. I am congratulati||0||0
494|0|alexb|11/16/2005|21:42:49|Paul R. (Guest)|A self-referencing sentence in use today|%22There are no absolutes.%22%0A||1||1
492|0|alexb|11/13/2005|02:12:14|Owen (Guest)|Great Site%21|I think this is indeed the best mathematics web page I have ever encountered.  I hope to use it in several of the classes I teach.%0A%0AI do have one ||2||1
491|0|Kristyn S|10/28/2005|17:04:26|Kristyn S (Guest)|Thank God for math|Math is my favorite subject%21 I LOVE MATH%21||0||0
490|0|alexb|10/26/2005|20:30:01|mpdlc (Guest)|Thank you for this living math warehouse|AlexB%2C%0A%0AI must congratulate you%2C as the soul of  this more than excellent website running as living warehouse of math%2C at all  levels and wh||6||1
488|0|alexb|10/22/2005|07:21:56|drissel2|Generalities easier to prove ....|than specific cases.  I%27m posting a .PDF doc with two examples.  The doc was prepared with the new OpenOffice.org Writer and its new formula editor.||1||1
487|0|alexb|10/21/2005|06:45:44|drissel|I thought I saw ...|a solicitation for things that are easier to prove in general than to prove specific cases.  I can%27t find it now %3A-%29  I%27ve prepared a .PDF doc||1||1
486|2|mpdlc|10/19/2005|18:37:28|Gracelyn (Guest)|triangles|Using 6 toothpicks%2C how can you arrange them to form four equilateral triangles.  You may not break%2C bend or change the toothpicks in any way. don||3||1
484|0|Margaret|10/15/2005|20:33:27|Margaret (Guest)|learning math|My daughter is a brain at math and I am as dumb as she s smart. I crave to understand math better%2C because I can see the fun in numbers%2C though I ||0||0
483|0|Dal Marshall|09/30/2005|06:31:05|Dal Marshall (Guest)|Brilliant site-Thanks|What a brilliant site. Very pleasing thanks. Well done.%0A%0ADal ||0||0
482|0|WEClark|09/19/2005|17:55:33|WEClark (Guest)|Thanks for wonderful site|I really don%27t have a problem. I%27m just posting this to say thanks for all the help you%27ve been for my nephew. I%27ve been out of school for a w||0||0
478|0|alexb|08/29/2005|16:51:25|Kristyn S (Guest)|Math|I signed your guest book. ||1||1
474|0|Kristyn |08/26/2005|19:42:40|Kristyn  (Guest)|Math|Where do you sign the guest list%3F I%27m there but how do I sign it%3F%0A||0||0
472|3|Ashish123|08/26/2005|19:42:40|Andrew Schreder (Guest)|Math puzzle|My soon to be 8th grade math teacher has posed this question%3A How is it possible that two-thirds of six is nine%3F I haven%27t a clue.Any help would||16||4
473|0|Tinner|08/23/2005|15:26:50|Tinner (Guest)|No-Frame Policy|I can appreciate your %22No-Frame%22 link policy%2C but your site is an absolute mess.%0AI followed a link from www.2flashgames.com trying to access o||0||0
471|0|alexb|08/16/2005|18:13:47|Guenther (Guest)|Broken Link|Hello%2C%0Ajust to let you know%3A%0AOn your   the link to the static mastermind page of %22Guenther Rosenbaum%22 is broken%2C because I changed my pr||1||1
470|4|alexb|08/09/2005|10:28:20|Jeff (Guest)|gauge theory|May we have a short definition please%3F||3||2
453|0|mr_homm|07/31/2005|01:05:48|soler|Birds on a wire puzzle|I may be a little thick but I could not understand the problem description. If the birds are wider than points then obviously you cannot fit an infini||36||5
429|0|Calculette|07/29/2005|07:14:40|breanna (Guest)|math sucks|no one likes math because its too hard . why would you have something that is to hard for kids . what do you want htem to fail not everybody gets math||159||24
468|0|alexb|07/25/2005|21:55:19|Andrew (Guest)|expression for Floor function|The page detailing the Floor function states%3A%0A%0A%22The floor function   furnishes an example of a function that couldn%27t be defined by a simple||1||1
466|0|alexb|07/15/2005|11:58:23|beka (Guest)|idk any of these games|hello %21 can sumone help me bc i cant understand any of these games OMG im mad %21||1||1
464|0|mfletch3141|07/05/2005|13:04:21|mfletch3141|Manifesto|I enjoyed reading the manifesto. Some one once told me that you never hear some one say- %22oh I don%27t read%22 when faced with a challenging reading||0||0
462|0|alexb|06/28/2005|07:10:57|Rosie (Guest)|MATHS|Hello%2C I have to say i am Pythagos biggest fan. I have admired him from a young age%2C I named my son and daughter after him%2C they%27re names are ||1||1
447|0|alexb|06/11/2005|22:17:24|mensales (Guest)|Mathematics|It is not surprising that so many find items on this site hard when you bear in mind the level of education over the last few decades.%0AI have to won||21||2
458|0|alexb|06/05/2005|16:38:41|koko (Guest)|what does|I had one posting%2C %22convergence%22%2C in the forum %22This and That%22%2C and I can see that there have been 5 replies and 16 views. What does %22||14||7
457|0|Emily|05/31/2005|12:53:21|Emily (Guest)|Algebra Sucks%21|Algebra includes too much homework%21 Regular math was soooo easy%2C but this stuff is cruel and unusual punishment%21||0||0
449|0|alexb|05/26/2005|00:38:17|alexander (Guest)|math|if math sucks%2C why are you here||12||2
378|0|teagan|05/19/2005|22:16:16|dondon (Guest)|i love math|i reli love math but math dont love4 me.......%0Apls HELP ME.............%0Awhat should i do........%0A||102||4
454|0|alexb|05/16/2005|11:47:52|soler|Lewis Carroll%27s pillow problem|Hi%2C%0A%0AI think that the answer given is wrong. It is incorrect to assign equal probabilities to B%2C W1 and W2. B and W1 have half the probability||4||1
451|2|alexb|05/14/2005|07:12:04|soler|Bertrand%27s probability paradox|Hi%2C%0A%0AIt seems to me that the first solution you give to the paradox is correct. %0A%0AThe second is logically flawed. Firstly%2C it is not the c||2||1
452|0|soler|05/14/2005|07:10:03|soler|Lewis Carroll%27s pillow problem|Hi%2C%0A%0AI think the solution given%2C ie 2%2F3%2C is incorrect. The flaw in the reasoning is that the three events%2C W1%2C W2 or B remaining in th||0||0
450|0|Jenn O'Kane|05/09/2005|23:28:47|Jenn O'Kane (Guest)|Math and the great services provided by this site|This site is great when you can%27t find terms in your math glossary in the back of the book.||0||0
448|0|alexb|05/07/2005|08:47:57|alexander (Guest)|proofs on site|great site%2C%0ABut i think for the purposes of such a massively accessed site%2C your proofs could be perhaps a bit better formatted%2C eg. at random||5||1
445|0|alexb|04/22/2005|05:57:36|Tom holloway (Guest)|pegs into the desert %28%2Fproofs%2Fchecker%29| I like this site a lot.%0A%0AI think there is a typo regarding moves of type %28iii%29%2C as you say they result in a decrased score%3A -x%5E%28n-1%2||1||1
444|0|alexb|04/21/2005|21:40:31|Brendiggg (Guest)|You commit an injustice|First%2C I would like to point out that this is an excellent site and I am very pleased to have found it.%0A%0AHowever%2C I feel you have committed an||1||1
443|0|alexb|04/19/2005|07:53:49|Silas|Error in reference on|On page http%3A%2F%2Fwww.cut-the-knot.org%2Fimpossible%2Fmachine.shtml%0A%0AI quote%3A  %22For a machine%2C on the other hand%2C knowing but being una||1||1
442|0|6th Graders|04/18/2005|18:12:48|6th Graders (Guest)|It%27s Not Hard| The things that these pages explain are simple and hard.....no one can be expected to know all of this young or old...we think that this site is very||0||0
436|0|Sherri|04/14/2005|22:55:09|Anonymous (Guest)|Math sucks... and you suck more.|Oh my God%21 WHY%3F%21%3F Why would you ever create a site that says it%27s for 5th-7th graders%2C and use graduate-level information to explain theor||10||7
441|0|No Name Please|04/14/2005|10:25:56|No Name Please (Guest)|Math Nerd|Ok. So all you guys who say that math sucks. The only reason you don%27t like it is because your embaresed cause you don%27t understand it. And math i||0||0
421|0|Andy Haugh|04/06/2005|19:22:13|Zvi Mendlowitz (Guest)|Error|In http%3A%2F%2Fwww.cut-the-knot.org%2Fbears.shtml You wrote%3A%0A%0A%22Now assume I told you that one of the bears is male. What is the probability t||12||2
433|0|Pilar|03/27/2005|15:02:54|Regueiro|Generalizations of Pythagorean Theorem|Why do not reflect my generalizations of the Pythagorean Theorem%3F%0ASee http%3A%2F%2Fwww.allegue.com%2Fartigos%2Fsimplex.PDF%0Ahttp%3A%2F%2Fwww.alle||5||2
428|0|Sherman|02/22/2005|14:08:26|Sherman (Guest)|This site|This site is pretty bad.||0||0
427|0|alexb|02/16/2005|17:33:30|Steve Maguire (Guest)|Pythagorean Triples%3A Generating from coprime n m|This site makes the assertion on http%3A%2F%2Fwww.cut-the-knot.org%2Fpythagoras%2FpythTriple.shtml%2C that%3A%0A%0A%22The fact is that for m and n cop||1||1
426|0|Ashley Cooper|02/16/2005|17:31:55|Ashley Cooper (Guest)|MATH ROCKS%21|OH MY this site is so off the hook the games are awsome%21 This is great i can%27t believe this site is so rockin continue making these SUPER GAMES th||0||0
425|0|teo|02/11/2005|23:27:45|emma (Guest)|maths games|hello%2C%0Ai dont really understand any of the games on this site so i am going to write a message in here. ok%3F%0Awell i dont really know what to wr||5||1
418|3|alexb|02/03/2005|21:56:15|skateblind (Guest)|where do i dl java to playthegames%3F|every game i click on never works. i think im missing some sort of program to play this puzzles. does anyone know where i can download this java thing||26||4
423|0|Pieczynski|02/01/2005|17:05:45|Pieczynski (Guest)|Nice%21|These applications shown reveal the usefullness of%2C logical math.||0||0
420|0|narbab|01/10/2005|08:16:21|narbab (Guest)|Equilateral Triangle%3A Another Proof|Let%3A%0A %0A Q lie on AC and N lie outside http%3A%2F%2Fwww.cut-the-knot.org%2Fgifs%2Ftriangle.gif ABC%3B %0A http%3A%2F%2Fwww.cut-the-knot.org%2Fgif||14||3
419|0|alexb|01/08/2005|17:47:09|george (Guest)|error|There is an error converting decimal %222%22 into binary system||7||1
417|0|prasobh |12/28/2004|00:34:04|prasobh  (Guest)|wishes|congratulations for creating a wonderful site.Iam PRASOBH KRISHNAN G.P  DEPARTMENT OF MATHEMATICS  NSS COLLEGE  PANDALAM  KERLA INDIA%0AThis site is d||0||0
416|0|akdutta|12/24/2004|09:06:35|akdutta (Guest)|appreciation|this site is really nice.||0||0
408|4|JonnyX|12/18/2004|16:40:54|Michael (Guest)|I%27m looking for...|A way to convert hexadecimals to Binary Codes and back. This is for a class I need to find a link. ITs for a grade and Really need the help so could s||24||3
412|0|alexb|12/15/2004|21:30:44|Christine (Guest)|proofs|The proofs on your site are very unclear%21 I don%27t understand any of them. With every next proof%2C you keep referring to the previous ones%2C whic||32||6
415|2|alexb|12/13/2004|19:45:10|dimoskon|%22live contest%22| i have a proposal for u.how about organising an online %22blitz%22 math competition%3Frespecting the analogy to chess%2Cwe could define the use of th||2||1
413|2|rewboss|12/13/2004|08:51:06|mjmc|What plug-in do I need%3F|I%27m using Mozilla%2C and wherever a movie screen is located on this site%2C that movie screen is blank save for a small green puzzle-piece sitting a||8||2
414|0|lfpl|12/12/2004|20:26:32|lfpl|the three glasses problem|0 0 8%0A0 5 3%0A3 2 3%0A0 2 6%0A2 5 1%0A3 4 1%0A%0A%0Ahope this is the place to post this%2C so exiting to be able in your first visit to do this.%0A%||0||0
411|0|alexb|12/10/2004|13:29:44|Paul_G_NJ|Typo in Compass Alone|This is a great site%2C full of interesting and stimulating ideas.%0A%0AIn Do You Know%3F -- Geometric Construction with the Compass Alone -- Problem ||5||1
410|0|James Alexander|12/08/2004|21:11:16|James Alexander (Guest)|A word approach to cut-the-knot|My first impression upon visiting your site is very positive.%0AIn fact it fits in well with the following verse.%0AI learned of you from the french r||0||0
409|0|Pilar|12/07/2004|22:06:00|Quintopia (Guest)|Integers|The page  http%3A%2F%2Fwww.cut-the-knot.org%2Fdo_you_know%2Ffundamental2.shtml says something to the effect that %22the integers are not closed under ||3||2
406|0|Bob S|12/07/2004|19:55:54|Bob S|The decimal equivalent for pi.|I want to calculate the area of a circle but my calculator does not have a pi button%2C do I%3B%0Ause 3.141 rounded down%2C 3.14159 with out rounding |on|2779||13
403|0|alexb|12/03/2004|08:36:45|enbe (Guest)|Pythagorean Th. -- something wrong|thank you for such a great site%0A%0A...but%3A%0Aopera shows only a few images %0Aon p.  Pythagorean Theorem %0A%0Acould something be done%3F||38||5
407|0|mathilde|12/02/2004|08:03:35|mathilde (Guest)|matte|thanks lord for this wonderful site I just LOVE IT%21%21%21%21%0AI love math hugs the math nerd molly||0||0
401|0|Tom Davis|11/24/2004|11:05:23|tom (Guest)|whats next applet|Great Site%21%0A%0AWould it be possible to have the   applet show which algorithm was used for the sequence%3F  This would help me understand how I fa||7||2
394|2|Bob S|11/20/2004|10:39:20|Bob S|%22Math...the only deductive science%22|%28source%2C Alexander Bogomolny%92s Manifesto%29%0A%0AI respectfully disagree. Logic is the only deductive science. Mathematics is the result of logi||47||8
400|0|Bob S|11/19/2004|07:36:19|Bob S|A quote from you alex.|thebobguy%0A%0A%22There must be an element of discovery involved to enhance a learning experience.%22 %28source%2C your manifesto%29%0A%0A%09I preface||0||0
397|0|alexb|11/15/2004|22:15:50|question mark  (Guest)|coefficient|What is a coefficient%3F%3F||1||1
395|2|alexb|11/15/2004|16:09:03|need help (Guest)|Binary EA Example|The Binary Euclid Algorithm example on this site explains the algorithm fairly well. However%2C there is a point along the example that confuses me. A||2||1
197|3|Bob S|11/15/2004|16:01:50|Mister Meneely|Circles...|How do you find the center of a given circle w%2F no tools%3B just a pencil%3F||771||5
247|0|Pilar|11/01/2004|22:51:50|Mini (Guest)|Very boring|I must tell ya that I HATE MATHS. and you created one %27o the most borin%27 sites . THIS SITE SUCKS%21%21%21x%28 |on|1087||24
387|0|alexb|10/31/2004|00:01:29|jr (Guest)|tex or other notation|I just found this site and think it looks like fun. However%2C the lack of any way to display equations and other math in a graceful way is completely||2||1
373|3|junglemummy|10/30/2004|10:28:29|junglemummy (Guest)|what is this|I%27m a noob%2C so I don%27t know if this is really suitable for this forum%2C but could someone pls tell me what this means%3F  It is the same sort o||96||2
382|0|Lauren|10/21/2004|08:30:24|Lauren (Guest)|Maths|This web page is the best ever%21 i love it soooo much. ||0||0
374|0|jc|10/20/2004|08:59:30|Aishwarya (Guest)|Odd coins problem|I am posting the solution that occured to me for the odd coins problem. I am not certain that this solution has not already been offered%2C but it is ||75||3
380|3|alexb|09/21/2004|07:51:40|desperatemom (Guest)|How  teach my daughter algebra|Interesting web site.  A little over my head.  My daughter has pre-algebra this year %2Ath grade tried to help her what do you reccommend.||1||1
372|0|thanks226|08/30/2004|14:33:55|thanks226|Disagree with solution|Hi%2C%0A%0AI am not convinced by the solution to the puzzle posted on this link%0A %0A%0AThe second job pays%2C every six months as follows%2C%0A%0A18||16||4
370|3|alexb|08/25/2004|16:15:39|terrence (Guest)|why 1%2B1%3D2|Help%21%0Awhy 1%2B1%3D2%3F||3||1
369|0|ME|08/17/2004|20:09:12|David (Guest)|mathematics|Proof of any number is equal to any different number and therefore math is pointless%0A%0Aa%2C b distinct%0A%0Athen t %3D a %2B b%0Athen t%28a - b%29 ||27||3
368|0|nirmal joshi|07/30/2004|10:10:28|nirmal joshi (Guest)|this is a sea of mathematics|You have done a good job.When internet is full of rubbish you have agan maintained its gloery.%0Amy mail add is%0Ajoshi_amn%40yahoo.com||0||0
347|4|palofal|07/17/2004|20:53:20|Giorgi (Guest)|non local differential equation|Hello%2C I%2Cm looking for articles about non local second order differential equations or documentations.%0AIf u knew links I need pls%2C send it to ||25||2
363|0|alexb|07/07/2004|11:24:48|Chris Conradi (Guest)|Lewis Carroll%27s Pillow Problem|Carroll%27s Pillow Problem--see the Probability problems--says that we know a bag contains one counter%2C and it is either black or white.  The soluti||8||1
358|0|alexb|06/19/2004|15:23:42|Anthony (Guest)|Cube with three holes|Imagine a cube with three circular holes cut from one face to another%2C when the width of the circles are the same width of the cube. If the width of||1||1
357|0|Lily|06/16/2004|16:29:07|Lily (Guest)|SOOOO cOOOol|I LIKE THIS WEBPAGE SO MUCH%21%21%0AVery interesting %0A||0||0
353|2|alexb|05/22/2004|11:31:11|dimoskon|trouble with page load|hello%2Cwhile reaching %27%27lewis carrol logic game%27%27 subpage in here%2Ci cannt move lomger from introdaction page.whats the problem%3F||1||1
352|0|Jim|05/20/2004|23:57:01|Yasuhiro (Guest)|Interesting site. Glad to visit it.|I accessed this page from Japan. The contents of a homepage are very interesting. I want to introduce this page to my friend instantly.||2||1
98|0|alexb|05/19/2004|13:37:26|Hokey (Guest)|math is worthless|I would just like to take this moment to display my hatred toward math. Math sucks. It is the most worthless piece of garbage I have ever seen. I thin|on|1361||28
324|0|pilar|05/08/2004|22:17:13|pilar (Guest)|blah blah blah|first of all%2C my regards to alex%2C way to go.%0Athis site is great for many reasons%2Cyet i would like to point out just one%3A it gives a sight of||27||2
350|0|MatthewP|05/02/2004|08:52:38|MatthewP (Guest)|Need help %2F basic differentiation|I am currently teaching myself basic calculus.  The book I am using%2C Calculus Made Easy%2C by Silvanus Thompson%2C differentiates the following prob||0||0
349|0|alexb|04/16/2004|08:01:02|Bob Duncan (Guest)|Pythagorean Proofs|Hi%2C%0A%0AI discovered your website after reading %91The Man Who Loved Only Numbers%92%2C which mentions Paul Erd%F5s as knowing a good many proofs o||1||1
348|3|alexb|04/15/2004|18:25:25|kendra (Guest)|geometrical terms|Hi%2C my name is Kendra. I%27m in the 10th grade. I have a Geometry project due tomorrow%21 I%27m very desperate. I%27m doing whats known as an %22Alp||1||1
345|0|Mobius |04/02/2004|23:19:34|Mobius  (Guest)|Commendation|Hi%2C  I%27m a retired science teacher %28secondary level%29 who has always had a %22love affair%22 with fun math.  Unfortunately I ran into a bad tea||0||0
344|2|alexb|03/30/2004|12:32:18|Michelle (Guest)|Bachet%27s Magic Trick|I played this game 7-10 times and picked 9 and 19 as my numbers every time and it did not get my numbers right any of the times%21 What is up%3F%3A-%2||1||1
342|0|Bryan Quinn|03/27/2004|08:38:03|Bryan Quinn (Guest)|Maths Can Be Fun|It%27s refreshing to see a site with content that%27s both interesting and stimulating. I graduated from Glasgow University 20 years ago and to be hon||0||0
341|0|raymund|03/24/2004|22:11:20|raymund (Guest)|I love it %21|you make Math much easier and enjoyable%3A7 %3B%29 ||0||0
339|0|Priest|03/23/2004|16:13:13|JAMiAM|Great site%2C here%27s a present...|...of a new Lewis Carroll style word puzzle%2C to show my appreciation.%0A%0AFind FISH to REEL.%0AFISH%0AFIST%0AFAST%0AVAST%0AVASE%0AVALE%0AVILE%0AFIL||13||3
340|0|deepak raj|03/23/2004|13:05:34|deepak raj (Guest)|excellent%21%21|this site has rare collections.i am interested in maths only because of this site.felt proud by visiting this site||0||0
338|0|alexb|03/12/2004|23:16:05|duffifi|groupoid|I am new to this site. As a mathematician%2C I %0Awas favorably impressed by the glossary%2C but %0AI did have a comment on the entry for %22groupoid%||4||1
337|0|gauri|03/08/2004|13:08:40|gauri (Guest)|maths is amazin|i would like to share my opinion that maths is the most beautiful %26 mysterious subject ofcourse derived from physics%2C it happens to be my favourit||0||0
334|0|joe farrell|03/04/2004|07:40:22|joe farrell (Guest)|math|nice website||0||0
333|0|alexb|03/02/2004|13:18:19|KL_GB|Site|Hello Alex%2C%0A%0ACongratulations on a fine and very interesting site.%0A%0AI am sure you will wish to congratulate me in turn for my ability to spel||1||1
332|0|Razi|02/07/2004|00:09:28|Razi (Guest)|our math exibit....a success thnx%21|our batch needed the points for our math grades%2Cour teacher asked people to volunteer to make math exibits for our fair...we found this site very he||0||0
331|0|Anita|02/07/2004|15:40:22|Anita (Guest)|Math|Wonderful site...however%2C  you have just hurt my brain.  I do not believe this pain will ever go away....||0||0
330|4|alexb|02/06/2004|09:42:26|Bill Murphey (Guest)|Poincare%27s Conjecture|Re the Clay Institute Millennium Prizes%0A%0AI understand that Grigori Perelman of Russia may have solved the Poincare Conjecture %28The Washington Ti||2||1
326|2|alexb|02/05/2004|09:13:34|tiffany bloomer (Guest)|math da|i don%27t get it i can%27t even find the infox%28 %3A%28 %3A%27%28 %3Ao ||4||1
328|0|Denis|02/05/2004|09:06:42|Denis (Guest)|Great web site%21%21%21%21%21%21%21%21%21%21%21%21|I would like to thank you for your Great web site%21 Keep up the good work%21%21%21%0A%0AYou may also visit my homepage if you want to at%3A www.zabiy||0||0
325|2|alexb|02/02/2004|19:41:34|Vadim Tropashko (Guest)|Pythagorean triple|Right triangle on%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fproofs%2Ffords.shtml%0A%0Ais Pythagorean triple. The proof is obvious%3A the hypothenus is%||1||1
163|0|pilar|02/02/2004|18:08:56|Brittany|%3F%3F%3F|I don%27t really get what this sight is talking about.  %0D%0AI mean math isn%27t really that hard.  Where are all of the%0D%0Ahard stuff anyways%3F%3||466||1
71|0|pilar|01/30/2004|09:50:59|Alison C! (Guest)|ur site|yeah%2C so%2C our computer teacher made us go to this site in computers. and as a 13 year old girl....it wasnt very entertaining. But I%27ll give you ||1004||4
318|0|ShadowFire|01/22/2004|22:58:39|ShadowFire (Guest)|Math OWNZ%21 SO does cut the knot%21 %5E%5E|Hey%2C just posting to express appreciation for this awesome site%2C and looking for anyone to discuss ideas on mathematics%2Fphilosophy or whatever s||0||0
315|0|darij|01/11/2004|13:22:37|darij|Thanks%3B typo|Dear all%2C%0A%0AThis will be my first post at this forum. So let me proclame my warmest thanks to Alexander for making me familiar with geometry and%||10||5
314|0|Gal|01/09/2004|16:32:08|Gal (Guest)|Nice Proofs Page|Liked that area%2C lots of really handy site. Keep it up%21 %3DD||0||0
313|0|Raunaq|01/07/2004|18:01:04|Raunaq (Guest)|Excellent|Yo%21This site is cool.Keep up the good work and I hope to see a tutorial section%3B%29 ||0||0
311|2|Jack wert|12/20/2003|22:07:44|Hogan (Guest)|12 Coins Puzzle%21%3F|I thought the real solution to this problem was a binary search like scenario%3F%0A%0AE.g. for all coins where x is a valid coin and y is the fake one||11||4
312|2|alexb|12/17/2003|14:44:12|Tim Hunt (Guest)|Forceful anti-bot policy|http%3A%2F%2Fwww.cut-the-knot.org%2Fblank.shtml%0A%0Ais all very well%2C but I messes things up using the W3C Link Checker%3A%0Ahttp%3A%2F%2Fvalidator||1||1
257|3|Hate M$|12/13/2003|18:13:10|sameermarathe|Applets in Internet explorer 6.0%3F%3F%3F|Hi%0A%0AI want to know how to enable the use of java applets in IE 6.0%3F %0A%0AI have visited this site several times at work. I was accessing it fro||60||9
309|0|qwerty|12/10/2003|11:01:03|qwerty (Guest)|Amazing site|Thank you for creating such a wonderful site everything is here about maths%3AD ||0||0
287|0|Vladimir|12/06/2003|20:12:39|Vladimir|more typos|http%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FGeometry%2FQuadri.shtml%0A%0ABold font is not turned off after  Theorem ||58||9
301|0|Vladimir|11/14/2003|07:46:39|Irene (Guest)|Misuse of language|%22Plain language is inherently ambiguous. It%27s usage in math and science may and does lead to difficulties in communication and learning. Such word||7||2
300|0|Aiyanne|11/07/2003|11:34:41|Aiyanne (Guest)|Interesting%21%21%21|this site helps me to become interested in the subject mathematics... it really helps me a lot especially in solving very hard problems... continue wh||0||0
296|2|Charles|11/06/2003|18:48:26|chopper (Guest)|puzzle of 4 numbers|Hi.%0AI think it should be interesting to everybody to solve this puzzle %28I failed%29.%0ASo you have to find 4 different integers that match the fol||16||2
299|0|kdb|11/04/2003|21:27:46|kdb (Guest)|math for kids|This is a great site for those already enthused by math. Just wanted to point you to  www.fun-ed.com  which has great games to get kids interested in ||0||0
298|0|Sundar|11/03/2003|12:14:04|Sundar (Guest)|Monty Hall problem|I found the discussion on the monty hall problem to be incomplete and suggesting that Monte Carlo runs are a substitute for analysis of a problem.%0AI||0||0
295|0|ANTONIO KYCRED|10/25/2003|22:53:49|ANTONIO KYCRED (Guest)|TABLES|%09%0AJust an observation made regarding the  times table.%09%0A%0ATalkin 5 as the starting point %0A%0A1%2F2%281%29%3D0.5%2A10%3D5%0A1%2F2%282%29%3D1||0||0
294|0|Vladimir|10/22/2003|14:15:40|Vladimir|Geometry through Algebra|Hello%2C%0A%0ACheck the excellent book   %28276 pages%29 by Ramon Gonz%E1lez Calvet%2C University of Barcelona. Available for free download in Adobe A||8||0
292|0|Tango|10/19/2003|10:22:55|Tango (Guest)|Math and creativity|I read your manifesto and I must agree. I had a math professor in Greece %28Themistocles M. Rassias%29 who really made me fall in love with math. One ||0||0
289|0|Lowell Malone|10/18/2003|11:43:17|Kevin Fite (Guest)|Math games%2C activities etc|This is a great website.  We%2C in the educational world need more math websites for not only teachers but also for the students to access and do acti||14||1
290|2|d2k|10/13/2003|10:06:32|d2k|Buying CD|It is a great site. I want to buy CD offered by the site.  I wanted to know %22How I can get the updates after buying the CD%22%0A1. They free availab||9||2
291|0|alexb|10/09/2003|17:37:04|Sabri (Guest)|Confirmation|Hi Alex%2C%0AI need your info about the citation you put on your writing of proof.%0AThere I find you quote the words of Vladimir Arnold. I am very in||1||1
273|0|alexb|09/22/2003|09:58:47|Vladimir|Typos|As I browse this site more and more%2C occassionaly I find typing errors.%0A %0A1. http%3A%2F%2Fwww.cut-the-knot.org%2Fdo_you_know%2Fpolyhedra.shtml%0|on|515||24
286|0|alexb|09/20/2003|06:29:06|sfwc|more ships and docks|Following the link from http%3A%2F%2Fwww.cut-the-knot.org%2Fctk%2FFromLCarrollToArchimedes.shtml%23ship stating that the SHIP-DOCK theorem is false%2C||1||1
285|2|quodlibet|09/17/2003|20:13:30|brendan (Guest)|puzzle|i need some help on a %28sort of%29 math puzzle i have come in contact with recently.  its is a competitive game%2C with 15 nails or pegs.  the 15 nai||6||1
282|0|sfwc|09/15/2003|16:48:12|sfwc|Sierpinski gasket|At www.cut-the-knot.org%2Fctk%2FSierpinski.shtml it says%3A%0A%0A Being a uniform limit of curves %28for it%27s defined by an L-System%29%2C the Sierp||18||6
267|0|Paul|09/15/2003|08:42:45|J Jim (Guest)|Is this Permutations%3F|Hi all%2C%0A%0AWanted to find out is this is Permutations%3F%0A%0AI have 5 Dice %28Die%29 and I want to print out all possible combinations %2F Permut||67||10
283|0|Kevin Fite|09/13/2003|23:57:35|Kevin Fite (Guest)|Great website|This is a wonderful mathsite. I truly enjoyed myself.  Love that MATH||0||0
281|0|alexb|09/09/2003|16:48:33|Ana (Guest)|Induction|On your page about induction%2C point 2. of the theorem%2C when you say %22Assume that P%28k%29 is true for some k.%22 you surely mean %22Assume that ||1||1
279|0|Vladimir|09/09/2003|06:37:19|Vladimir|Utility of mathematics|Dear Alex%2C%0A%0AI just went through your presentation %22Mathematics Education%3A Taking a Clue From the Recent Technological Revolution%22 %28I may||24||6
280|3|alexb|09/08/2003|21:37:15|Jennifer (Guest)|Applets in IE%3F|I%27m having the most bizarre problem with loading applets on my computer.  I%27ve downloaded the latest Java SDK bundle %281.4.2_01%2C I believe%29 a||1||1
237|0|alexb|09/07/2003|20:17:53|batmite|12 coins puzzle|An earlier reference for the ternary digit solution is%3A%0A%0ADyson and Lyness%2C Mathematical Gazette%2C 30%2C October 1946%0A%0AYes%2C it%27s F.. D||157||3
278|0|manfred maass|09/01/2003|07:54:26|manfred maass (Guest)|Soma Cube|hello%2C here%27s a little game%28shockwave%29%2C the soma cube online%3A%0A%0Ahttp%3A%2F%2Fwww.retina.de%2Fcube%2Fsomacube.html%0A%0Ahope%2C you%27ll||0||0
276|0|alexb|08/31/2003|07:26:53|Mike Ruxton (Guest)|generatingfunctionology|HS Wilf%27s book generatingfunctionology is available at%0Ahttp%3A%2F%2Fwww.math.upenn.edu%2F%7Ewilf%2FDownldGF.html%3A%2B ||4||1
274|0|chinmaya|08/08/2003|00:36:13|chinmaya (Guest)|3 glasses with 6 in table|hi%2C%0Aa very good website.thanks.%0Awould like a tutorial section too.%0Athe 3 glasses problem with a 6 in the table%3A%0A008 start%0A053%0A323%0A02||0||0
271|0|alexb|07/27/2003|14:32:46|miguelb|4 travelers|Dear Mr. Alexander Bogomolny%3A%0A%0AFirst of all%2C I%27d wish to congratulate you for this very good website.%0AMy name is Miguel. I am from Porto A||3||3
270|0|arifien bay|07/22/2003|00:54:15|arifien bay (Guest)|thanks|I would like to thanks who%27s maintains this site||0||0
261|0|Vladimir|07/19/2003|02:40:48|kenmin|Ken%27s Theory|Theory abstract %3A%0A%0AFor any 5-sided shape%2C any one of its 5 angles will be more than 100 degrees%2C %26 at the maximum%2C there will be only 3 ||52||6
269|3|alexb|07/15/2003|00:41:10|Bractals|Uploading Image Files|Hi Alex%2C%0A%0AI need to upload an image file %28.gif 7KB%29 to help in the analysis of my construction in Topic %23248 in the %22High School%22 foru||1||1