386|0|alexb|07/24/2011|15:04:55|Anderson derty (Guest)|ABC triangle|ABC triangle BD bisects %26%238736%3BABC%2C D on AC%2C m%26%238736%3BABC %3D80 %2C AD%3DBD%2BBC find m%26%238736%3BC||152||13 411|0|alexb|04/21/2011|10:49:04|Bernard Murphy (Guest)|Pigeonhole Principle Qn 43 - an error%3F|%27Prove that no seven distinct positive integers%2C not exceeding 24%2C can have sums of all subsets different.%27%0A%0AI think the solution given is||1||1 408|0|mr_homm|04/07/2011|11:54:45|shivgaur|Number theory question|The Problem%3A %0ASuppose for a positive integer n both 5n%2B1 and 7n%2B1 are perfect squares. Show that n is divisible by 24%0A%0AMy attempt%3A%0ASin||22||5 406|2|shivgaur|03/13/2011|15:56:39|shivgaur|Number Theory Problem|The question is%3A%0A%0AShow that there are positive integers m and n%2C with m %3E n%2C such that 2%5Em %96 2%5En is a multiple of 2011.%0AYou do not||5||2 407|0|alexb|03/12/2011|18:40:24|danieladaniela|Schwarz Lantern|Does someone know of an applet that displays the Schwarz lantern %28or pineapple%29 and computes the surface area%2C let%27s say with sliders for a ra||3||2 404|2|abhi|02/25/2011|09:33:20|abhi (Guest)|inequation|hi%2C%0A%0Awould anyone kindly suggest a method for solving this inequation%3F%0A%0AFind all real numbers such that%3A%0A%0Ax%5E4-3x%5E3-x%5E2-x-2 is ||10||2 405|0|alexb|02/23/2011|14:05:46|huntermykey|10 digits add to 100|Hi everyone%2C%0A%0AI am not sure if i am plane stupid%2C%28 probably am%29 or this is big Math..%0A%0AThis is the problem%3A%0AUse all digits 0-9 onc||1||1 403|0|alexb|02/15/2011|16:29:13|Sandy (Guest)|Digitla Roots|Digital Root of a Product%0A%0AOn the page%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Farithmetic%2Frapid%2Fdefensive.shtml%0A%0AAlexander casually state||1||1 402|0|alexb|01/24/2011|00:13:41|P.Tsiros (Guest)|a generalized version of PT|http%3A%2F%2Fwww.tsiros.net%2Fpyth%2Fyapt.JPG%0A%0AABC%3A a right triangle%0A%0AM%3A a point%0A%0AProve that A1%2BA2%3DA3 or that areas with same colo||30||12 401|2|alexb|01/18/2011|09:10:03|Andrew Touchet (Guest)|Probablities section on cut the knot site|I am having difficulty understanding how they explain probablities using sets or union and intersection. I get lost soon after they begin talking abou||2||1 330|3|alexb|01/13/2011|21:06:28|Rose (Guest)|Four numbers equal 24%3F|Using 5%2C 5%2C 5%2C and 1 ONLY adding subtracting%2C multiplying and dividing is it possible to get those four numbers to equal 24 and if so how%3F%0||609||18 201|0|David W.|12/06/2010|23:32:43|martin gran (Guest)|drawing puzzle|My third grade math teacher gave us a drawing puzzle I%27m still trying to solve thirty odd years later. Now my daughter%27s trying to figure it out a||1096||34 400|4|Daniela|11/19/2010|08:52:23|danieladaniela|trajectories on the torus|First of all%2C let me thank Prof. Bogomolny for this marvelous and ever-growing site. %0AI hope may be some reader can help me find an applet I saw s||19||5 399|3|alexb|09/30/2010|07:35:40|jmolokach|Would someone comment on the soundness of this statement%3F|I have tried to simplify the teaching of relationships of inverse functions%27 derivatives by using a term I created called %22counterpoints.%22 So i||16||9 398|4|mr_homm|09/14/2010|22:26:19|janco|Golden Ratio in Algebra|Looking to find original article referenced in CTK entitled %22Golden Bounds for the Roots of Quadratic Equations%22. Supposedly published by the Math||30||11 397|0|alexb|05/17/2010|06:39:16|k.p. (Guest)|Geometry|Length of an angle bisector in terms of AC %2CAB %2C BC||1||1 396|2|alexb|05/02/2010|21:45:52|rahul_khs (Guest)|saa triangle construction|how do we construct triangle when 1side and 2 angles are given%2C such that the side is not included between those angles%3F||12||5 395|0|alexb|04/29/2010|19:58:28|Teja Ravivarapu (Guest)|Proof number 27|I want to understand proof number 27 in the amazing list of pythagorean theorem proofs. But unlike some of the other proofs this proof doesn%27t expla||1||1 394|0|alexb|04/08/2010|11:41:01|mffsilva61|A property of equilateral triangles|This is a very beautiful property of equilateral triangles.%0ALet ABC an equilateral triangle%2C and M any point inside it. Divide the triangle in six||6||1 393|3|alexb|03/21/2010|23:22:37|Nina (Guest)|finding volume of a tetrahedron|Is there a formula for finding the volume of a tetrahedron%3F I looked through the geometry listings%2C but I didn%27t find anything about tetrahedron||1||1 392|3|alexb|03/17/2010|20:53:04|that guy (Guest)|proof 13|who came up with proof 13 for the pyageran them.||1||1 389|0|alexb|10/16/2009|15:47:32|Arturo (Guest)|Random Riddle|A typical example of a random sequence of 0s and 1s %28of length n%2C say%29 is one that is obtained by repeated tossings of a fair coin%2C with %22he||1||1 387|2|alexb|05/22/2009|11:00:26|nicoleg|Construction in Geometry|How would I construct%0A%28A%29 an isosceles triangle if only given the altitude to the base and a base angle%3F %0A%0A%28B%29 an isosceles trapezoid ||1||1 385|2|alexb|04/09/2009|14:16:17|csilva85|Transformations %26 coordinate plane|This is a question about terminology and%2For syntax.Can someone out there please explain to me why when describing reflections over a particular ax||1||1 384|2|alexb|04/09/2009|14:10:57|Don Johnson (Guest)|Monge via Desargues|My math teacher challenged me to prove to him why the lines formed by the tangents are collinear. I showed him the proof off of cut the knot%28http%3A||1||1 383|2|alexb|04/07/2009|21:23:43|Don Johnson (Guest)|Monge via Desargues|My Math teacher was challenging me to prove how the tangents formed by the circles are collinear and when I showed him the proof off of cut-the-knot%2||2||1 183|0|robert king|04/05/2009|06:59:31|Andrew M (Guest)|sum of squares|can anyone find a proof for 1%5E2%2B2%5E2%2B...%2Bn%5E2%3Dn%28n%2B1%29%282n%2B1%29%2F6 without using induction%3F||396||10 379|0|jack202|03/28/2009|10:46:13|ke_45|product of fractions|Hi%0A%0AIn a book on sequences%2C there%27s this product%3A%0A%0A%281 - 1%2F4 %29 %B7 %281 - 1%2F9%29 %B7 %281 - 1%2F16%29 %B7 ... %B7 %281 - 1%2Fn%B||57||4 215|0|Dale Kozniuk|12/14/2008|17:35:54|SammiTE|permutations....help please|There are 720 permutations possible from the digits 1 through 6. If you ordered all 720 permutations from smallest to largest%2C what would the 317th||137||3 172|2|moo|11/27/2008|11:32:20|Liliya|Bearing problem|Hi%2C%0AOur math teacher doesn%27t explain everything to us%2C and today he wasn%27t here and on the homework there%27s one problem that I have no ide||206||3 382|0|jack202|10/30/2008|19:06:49|Elianto84 (Guest)|triangle construction|m_a%2Cm_b%2Cc%0ASince the medians cut themselves in a 2%2F3-ratio%2C this is a SSS problem.%0A%0Am_a%2Cm_b%2Cb%0AFor the same reason%2C this is a SSS ||59||12 381|2|Sundar Krishnan|08/12/2008|06:29:16|Sundar Krishnan|Arbelos %3A 1%29 Geometrical Construction 2%29 Ref Circle of Inv|1%29 Consider %3A http%3A%2F%2Fwww.cut-the-knot.org%2FCurriculum%2FGeometry%2FBookOfLemmas%2FBOL5.shtml%0A%0ABOL5.shtml has given the %93proof%94 for ||25||12 219|4|daves|06/22/2008|07:32:40|roboknight|Missing information|The problem is the following%3A%0A%0AGiven that in a right triangle with sides of length x%2Cy%2C and z respectively where x %3C y %3C z %28therefore ||137||2 380|0|alexb|06/17/2008|11:02:57|ke_45 (Guest)|Geometric series ratios|We have an arithmetic progression the squares of whose 12h%2C 13th%2C and 15th terms form a geometric progression. Find all the ratios of this progres||1||1 142|0|Xak|04/28/2008|14:37:18|Dave (Guest)|Car Problem|Can anybody help me out with this please%3F%0A%0A%0AA Formula-1 race car is racing around a circular track%2C completing the first lap in 3 minutes wi||345||6 378|0|alexb|04/13/2008|23:46:52|me2 (Guest)|Triangle From Angle Bisectors|In the page %22Triangle From Angle Bisectors%22 of CTK%2C is proofed that%3A%0A%22It is impossible to construct an isosceles triangle given the length||1||1 377|0|alexb|03/20/2008|19:40:41|Merlin|Variation on the three glass problem%3F|I received this problem from a friend %28he used to be then he sent this%29 and I find my math abilities are rusty to the point of being seized up. It||1||1 375|3|alexb|03/19/2008|20:29:28|Bryan (Guest)|Arcs of concentric circles|Not sure whether this belongs in High School or College math%2C but I suspect putting it on the college list would be flattering myself. Here is the g||54||7 376|0|alexb|03/16/2008|21:56:13|ionut onisor (Guest)|concurrency in triangle|let ABC be a triangle and BB%27 and CC%27 be altitudes of the triangle. draw the circle through B%27 and C%27 and tangent to circumcircle. let A%22 be||5||1 374|0|MichaelD|01/12/2008|23:00:32|MichaelD (Guest)|Dynamic Geometry Sketches Updated|My Dynamic Geometry Sketches have been updated at%3A%0Ahttp%3A%2F%2Fmath.kennesaw.edu%2F%7Emdevilli%2FJavaGSPLinks.htm%0A%0AIncluded now are some Stud||0||0 373|0|alexb|01/12/2008|13:14:31|alexb|Zeros and Nines|If an integer S and its multiples by 1 through 9 are written in a table aligned by the last digit%2C then every column of digits contains either a 0 o||0||0 60|0|Marcus Bizony|12/13/2007|07:36:13|Strauss (Guest)|I need a proof|Hello%2C%0D%0A %0D%0AI am looking for a proof that%3A%0D%0A %0D%0A1%2F2 %2B 1%2F4 %2B 1%2F8 %2B 1%2F16 %2B 1%2F32 ..... %0D%0A%0D%0Aand so on ||846||17 371|3|tinyman|11/09/2007|12:33:34|tinyman (Guest)|Triangle construction|How to construct a triangle if you have%3A%0Ahc %2C median of b%2C radius of the incircle||0||0 256|2|Ron Jones|10/05/2007|13:57:01|jman_red (Guest)|Seven Dwarves Problem%21|The seven dwarves are sitting around a table while Snow White is gone shopping. Each dwarve has a cup with milk in it%2C and the total amount of milk||180||5 304|2|Dhruv |10/03/2007|13:19:39|Lydia (Guest)|Towers of Hanoi|Erm%2C well%2C I%27ve been working on the towers of hanoi and I%27ve reached a bit of a block. I know how you work out the minimum number of moves whe||160||7 370|0|mr_homm|10/03/2007|12:53:50|Scott (Guest)|Proof %2312 of irrationality of square roots|I greatly enjoyed getting caught-up on the proofs of the irrationality of the roots of integers...%0A%0AHowever%2C I am troubled by Proof 12. The argu||8||4 369|0|Greg M|08/15/2007|09:24:59|John Clark (Guest)|Geometry|Is it true%2C that how to multiply and divide a line by a line is not known%3F I was thinking that a geometry should be required to perform the basic ||10||1 366|0|Murali|06/05/2007|21:02:23|Murali (Guest)|Geometry|Dear sir%2C%0AA triangle is drawn on a sheet of paper. The paper is then trimmed so that the vertices of the triangle are cut off%2C and the sheet con||26||2 365|0|MichaelD|05/24/2007|09:25:09|MichaelD (Guest)|A SA Math Olympiad Geometry problem|Some here may be interested in the update on my homepage at http%3A%2F%2Fmysite.mweb.co.za%2Fresidents%2Fprofmd%2Fhomepage4.html with an article %22Fu||0||0 364|0|dovid31|05/21/2007|13:43:49|dovid31 (Guest)|Geometry|Set up an equation of the straight line that goes through the origin and which forms with the lines whose equations are%0A x-y%2B12%3D0 and 2x%2B||24||7 363|0|alexb|04/19/2007|09:21:43|Dovid|geometry|Given a circle x%B2 %2B y%B2 %3D 25 and point C%286%2C -8%29. From C two tangents are drawn to the circle at A and B. Find the length of chord AB%2C||13||4 362|2|jay_shark|03/23/2007|16:55:10|Stewie (Guest)|Question about notation|Hello%2C%0A%0AI picked up A Course in Pure Mathematics%2C which itself isn%27t exactly high school material%2C but I have a very simple question%3B si||2||1 361|0|jay_shark|03/21/2007|10:44:52|jay_shark|A Geometry Inequality|Here is a problem that I%27ve proposed which I believe to be true but I haven%27t verified it . %0A%0ATake any triangle ABC and three concurrent lines||10||2 347|0|jay_shark|03/20/2007|13:48:49|confused (Guest)|Proofs using two circles|Two circles with centers X and Y intersect at points P and Q. Prove that XY is the perpendicular bisector of PQ.%0A%0AMy assignment is to prove the ab||46||2 360|3|alexb|03/05/2007|00:37:00|mar (Guest)|geometry|SUPPOSING THAT WE HAVE A FLAG WITH THE ONE SURFACE BLACK AND THE OTHER WHITE AND WE CUT A PIECE OF IT IN SHAPE OF SCALENE TRIANGLE%2CTHEN IS THERE ANY||41||9 359|0|mpdlc|02/25/2007|19:26:12|mar (Guest)|geometry|IS THERE ANY FOUR-SIDE SHARE WITH EQUAL THE OPPOSSITE ANGLES AND SIDES BUT IT%27S NOT PARALLELOGRAMME%3BIF YES%2CCOULD YOU DESCRIBE IT TO ME9PROBABLY ||41||10 358|2|Kh4o$|02/05/2007|23:19:37|Brad (Guest)|Help no one else seems to be able to give me...|I had a question%2C and my parents%2C math teachers%2C etc. can%27t help me. Maybe someone here can. I%27ve never done any sort of difficult math %2||37||5 357|2|JJ|01/24/2007|05:01:00|Rob (Guest)|A difficult one%3A|Given that%3A%0A3%5Ex %3D 4%5Ey %3D 12%5Ez%0A%0AProve that%3A%0A1%2Fz %3D 1%2Fx %2B 1%2Fy ||16||2 345|0|JJ|01/17/2007|08:11:00|Sam (Guest)|general|How can you draw 2 parallel lines%2C so that they intersect%3F||89||5 356|0|Ramsey2879|01/02/2007|11:38:42|Kenneth Ramsey (Guest)|Fibonacci Number Identity|Challange Question%0AProve that F%28i%29%2AF%28i%2B1%29%2AF%28i%2B1%29%2AF%28i%2B2%29 is an oblong number%2C i.e. is equal to x%28x%2B1%29 where F%28||45||10 352|3|pmwc_sv|12/30/2006|23:24:36|Karl H|rearranging equations|I have the solution to a problem and I am struggling to understand how %3A %281%2FT - 1%2FU%29 becomes %28U - T%2F TU%29%3F%0A%0AI know its not esse||40||3 354|3|alexb|12/15/2006|14:52:51|Lookash (Guest)|Heawood graph crossing number|Good morning%2C I am solving interesting problem. My task is to find the crossing number of Heawood graph and also prove%2C that it really is the cros||13||5 353|0|A. Monus|12/07/2006|17:10:21|Andrew (Guest)|Rearranging 1%2Fj %3D 1%2Fu %2B 1%2Fv|I am trying to rearrange%3A%0A%0A1%2Fj %3D 1%2Fu %2B 1%2Fv %0A%0Ato make u the subject. I know the answer is u %3D jv %2F v-j and I can get as far as%||42||4 220|0|alexb|10/22/2006|22:24:27|J.A.N (Guest)|Hexadecimal|I need to know if anyone has any good ideas for a hexadecimal math fair project. Could you please respond if you have any ideas. Thanks for the help||131||4 348|0|alexb|10/15/2006|07:50:52|alexb|Property of the line through incenter and circumcenter|R. Honsberger in From Erdos to Kiev %2C pp 199-201 treats a problem from Crux Mathematicorum %2C 1987%2C 160%3A %0A%0A%22As usual%2C let I and O be ||41||3 351|0|alexb|08/22/2006|18:28:50|alexb|Orthogonality in Isosceles Triangle|In triangle ABC%2C O is the circumcenter%2C D is the midpoint of AB%2C E is the centroid of triangle ACD. Prove that EO is perpendicular to CD iff AB ||4||1 350|0|alexb|08/14/2006|14:55:26|alexb|a sangaku problem|Chords KN and ST are perpendicular to diameter CP of circle %28O%29 at points Q and R. SQ intersects the circle in V. %28K%2C S are on one side of CP%||6||1 349|3|alexb|08/12/2006|00:21:39|Claudio Buffara|South%2BWest%2BNorth %3D Back|The problem that starts this article%3A%0A %0Ais said to have a continuum of solutions but I was only able to find a denumerable set of them%3A the %2||1||1 327|0|JJ|07/09/2006|05:47:13|bitrak|Real or complex number|What%27s i%5Ei%3D%3F %3B i%3Dsqrt%28-1%29%0A||72||11 340|0|spideyunlimited|06/04/2006|08:59:51|spideyunlimited|how do 4 numbers 3 %2C 3 %2C 8 %2C 8 equal 24| make 24 using 3 %2C 3 %2C 8 %2C 8 and using them all only the number of times they are given and u can use any mathematical sign . ||92||12 346|2|mr_homm|05/30/2006|16:23:08|Josh Crawford (Guest)|What is this type of circle geometry called%3F|Hi%21%0A%0AI%27ve been trying to determine what this pattern of circles is called...i know it is sort of a Venn Diagram...but is that what it is%3F I ||5||1 320|4|mr_homm|05/21/2006|23:29:36|10scott10|pythagerian thereom|i want to see if any1 else has written a proof for this therom. if they have please tell me the basics of it%0A%0Amine is are of of triangles||59||8 344|0|alexb|05/01/2006|10:58:01|alexb|the most elementary theorem of Euclidean Geometry|I am at a difficulty understanding D. Pedoe%27s remark concerning this theorem%2C see the attached file.%0A%0AWhat I do not understand is how the theo||13||2 232|3|thil003|04/14/2006|09:21:35|An (Guest)|probability of faces on a die|Q%3A What is the expected %23 of rolls it will take for a single%2C 6 sided die to show each face atleast once%3F%0A%0Ai%27m pretty sure this is a geo||145||13 279|2|Guest|03/17/2006|14:32:07|Ariyan|Circumference of a sphere|Hello%2C%0A%0AI don%27t know if this is a frequently asked question%2C but is there a way to calculate the circumference of a sphere with radius r%3F ||532||7 342|0|bob|03/07/2006|19:09:19|stacey stace|Pick%27s theorem|Does anyone know how to explain the proof for Pick%27s theorem in a simplified way%3F i don%27t quite understand why the formula is as it is. ||7||2 341|3|herman hofstede|02/24/2006|09:02:49|Becca (Guest)|URGENT HELP NEEDED for Induction and Divisibility|Use mathematical induction to prove that 5%5En %2B 9%5En %2B2 is divisible by 4 %28n belongs to all positive integers%29.%0A%0Aok this is what i%27ve ||4||2 337|0|alexb|01/11/2006|11:59:50|faisal (Guest)|geometry grade 12|hi %0Ai was lookin for converse of Hypotenuse-Side theorem on the net . i wasn%27t able to find it. i spent a full hour but no luck. this theorem is i||14||3 336|2|Jupiter|01/09/2006|11:55:10|tartan giant|Heart attack probability|Dear readers%2C%0A%0AThis is my first post%2C and I wish to ask a question please.%0A%0AI was reading %22The Log%22 and there is an advert in it about||16||1 339|0|alexb|01/08/2006|20:18:34|Joshua Gray (Guest)|Base 7|how does base seven apply to the following %0A%0A13%2B15%3D31%0A10%2A10%3D100%0A6%2A3%3D24%0AI dont understand base seven and I need to understand thi||1||1 338|0|alexb|12/18/2005|20:53:08|kelsey (Guest)|Euler%27s line|ON my question that i have is says for what classifications of triangles will the incenter also lie on the Euler%27s line%3F %0A i dont get that%21||2||1 335|0|alexb|11/22/2005|10:01:20|Owen|Fun probability question|Here is a fun problem for those of you haven%27t seen it. I believe it may be found in the Dover book entitled something along the lines of %2250 Pro||20||6 334|0|alexb|11/16/2005|14:23:08|Allison (Guest)|SSA Postulate|I need help proving that the SSA Postulate is false.||1||1 331|3|mr_homm|10/24/2005|22:09:45|Krys (Guest)|1%2B11%2B111%3D1111|This may seem simple to most of you%2C but I need to figure this out. How can I solve this equation by moving only one %22toothpick%22 the plus signs ||43||8 332|2|Ramsey2879|10/24/2005|17:56:10|fleur_ecarlate|Un-magic square|I have figured how to create a magic square%2C but is there a way to create un-magic square%3F In other words%2C in a 3 by 3 grid place digits 1-9%2C ||15||2 314|3|Hannan Swann|10/15/2005|21:28:44|Kate (Guest)|Permutations and Probability anyone%3F%21| In my Honors Geometry class we%27re learning Probability and now getting into Permutations...I just can%27t get it%21 I%27ll understand it when a tea||29||2 317|0|mr_homm|08/20/2005|23:06:48|mike (Guest)|a question about Number Guessing Game|i would like to ask the principle of the game.And how to play it by myself%3F thanks%21||25||4 328|0|iliaden|08/19/2005|00:14:55|bitrak|Circumscribed quadrilateral|A quadrilateral ABCD is circumscribed about a circle and P%2CQ%2CR%2CS are the points of tangency of sides AB%2CBC%2CCD%2CDA respectively.Let a%3DAB%2||17||1 329|3|alexb|08/01/2005|17:40:53|alexb|circle of similitude|I%27ve been looking into the properties of the circle of similitude of two given circles. It%27s going to be useful in a proof of Malfatti%27s problem||12||2 325|0|mr_homm|07/21/2005|10:12:35|alexb|Cassini%27s determination of distance to Sun|In 1672 a chap named Cassini found the distance from the earth to the sun. He used a scheme which required that he send a friend to South America whil||34||9 318|2|JJ|07/18/2005|01:05:24|Slavik (Guest)|sum of Fibonnacci%5E-1 serie|what is the sum of the serie%0A%0A1%2F1%2B1%2F1%2B1%2F2%2B1%2F3%2B1%2F5%2B1%2F8%2B1%2F13%2B1%2F21%2B1%2F34%2B... %3F||44||3 326|0|alexb|07/17/2005|09:36:20|bitrak|Delian problem|Delian problem is not solved.Segment x8-x12 is 2sqrt2-2 but no%0A2-4%5E%281%2F3%29. Proof on the site %0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fdo_you_kn||1||1 324|0|JJ|07/02/2005|08:26:03|Smith (Guest)|Solving equations|This is probably really simple but I cannot figure it out. Solve the following equation for x%3A%0A%0Ay %3D x %2B e%5Ex %2B 3%0A%0ATo simplify%2C you||21||5 323|0|alexb|06/12/2005|14:13:41|Polytope (Guest)|similar triangles in two intersecting circles|Here%27s a fun puzzle.%0A%0ATwo circles k1 and k2 intersect in the points A and B. A first straight line through B intersects k1 in C and k2 in E. A s||6||1 322|0|alexb|06/03/2005|00:52:26|Bob C (Guest)|Conics|I have a math history question that you may be able to answer for my Algebra 2 class. After our study of the proof of ellipses at http%3A%2F%2Fwww.cu||11||5 321|0|MichaelD|05/30/2005|06:23:11|MichaelD|An Extended Classification of Quadrilaterals|Of interest to some here may be an extended classification of 26 quadrilaterals%2Cincluding concave %26 crossed quadrilaterals%2C which can be downloa||0||0 319|0|erszega|05/21/2005|22:13:49|erszega|odd numbers%2C squares%2C and cubes|As is well known%2C odd numbers add up to squares%2C if we start from 1%2C and add the consecutive odd integers.%0A%0AInterestingly%2C we can also cho||0||0 316|0|MPC|05/03/2005|20:37:55|Angela (Guest)|Analytic Geometry Proof|This question was given to us as a part of an assignment on Analytic geometry proofs. I then went in for help with it%2C and the teacher wasn%27t abl||20||5 312|3|Jack' son|03/31/2005|11:16:51|James Finch (Guest)|Geometry|Hi. I need help on finding the centroids of various shapes %0A%28except the triangle%29. Could someone help me out with some simple rules on finding t||10||1 309|2|Mr Toad|03/27/2005|07:16:18|anXZMouse (Guest)|Making Rational Points With Circular Reasoning %3A-%29|Hi.%0A%0AI am not sure whether this problem should be in the high school math section or the college math section. %28It has been a very long time si||20||1 301|3|lover|03/22/2005|11:16:59|adityak123|Back to back pairs|I was working on pairs on two digit numbers where their product stays the same when the order of the digits are reversed. For example 23x96%3D32x69 or||61||3 311|0|alexb|03/03/2005|07:58:46|PradiptaBandyo (Guest)|Coloring points in the plane---a simpler proof|For problem 1%2C it suffices to consider an equilateral triangle with side d. At least two of the vertices have to have the same color%21||2||1 310|3|alexb|03/01/2005|11:44:32|cyclone (Guest)|functions|It%27s been too long%2C sorry but this a first post.%0A%0A9th grade son needs to learn how to solve this function and I%27m rusty. Don%27t need it so||10||3 308|3|alexb|02/06/2005|10:04:14|Ravin T'pillai (Guest)|Trouble With Pythagorean Triples|On this site there is an article about Pythagorean Triples. It says that where n and m are intergers n%3Em. It says the middle side can be expressed 2||1||1 307|0|Gopal Paudel|02/04/2005|01:34:18|Sara (Guest)|1 equals2%3F%3F%3F| my math teacher %27proofed%27 to us that 1 was equal to 2 but doing this....%0Aa%3Db%0Aa%5E2%3Dab%0Aa%5E2-b%5E2%3Dab-b%5E2%0A%28a-b%29%28a%2Bb%29%3||8||3 272|2|Mohan|11/26/2004|12:12:48|Nate (Guest)|Imaginary Numbers|Hi%2C everyone. What%27s wrong with the following proof that 1 %3D -1%3A%0A%0A1 %3D sqrt%281%29 %3D sqrt%28-1 %2A -1%29 %3D sqrt%28-1%29 %2A sqrt%28-||140||2 225|3|Me|11/22/2004|17:47:17|George Arthur (Guest)|Simple%28%3F%29 rain probability.|If there is a 20%25 chance of rain today and a 20%25 chance of rain tomorrow%2C what is the probability that it will rain on at least one of those day||128||16 49|0|lokesh gupta|11/20/2004|10:38:45|Kenneth Arceo (Guest)|Bullet Sound|A bullet is fired horizontally at a target%2C and the sound of its impact is heard 1.5 seconds later. If the speed of the bullet is 3%2C300 meters per||501||9 302|3|Dnana|11/16/2004|09:31:17|Ian Barkley (Guest)|triangle ratios w%2F unknown sides|I%27ve been comtempating this question for about a week%2C and I was wondering if anyone had an answer to it.I have a right triange ABC%2C with known ||18||1 293|0|Sarah|10/29/2004|10:27:42|solo|Interesting sequence|Could someone please show me how to find the answer to the following sum %28without actually using a calculator%29%3A%0A%0A1%2F%282x3%29 %2B 1%2F%283x||71||5 299|0|sfwc|10/01/2004|12:56:51|KJ_Ramsey (Guest)|Use of %22Weighted%22 Multiplication|An infinite number of distinct operations%2C A %23 B %3D A%2AY %28Y-1%29%2FK exist. Note that A %23 B %23 C %3D A %23 %28B%2AC%29in each case. T||3||1 298|0|Ramsey_KJ|09/26/2004|11:13:21|Ramsey_KJ|%22Weighted%22 Multiplication|Has anyone seen this before%3F%0A Define the operation A %40 B as equal to A%2AB%5E2 %2B %28B%5E2-1%29%2F8 and note that %28A %40 B%29 %40 C equals ||7||2 294|3|alexb|08/25/2004|15:55:11|mooooomba (Guest)|maths layout structure|just wondering whats the correct method to layout ur work%0Afor example%2C if i write%0A%0ALHS %3D x %2B 3%0A %3E x %2B 2 for line b or ||2||1 270|2|Robert Webb|08/23/2004|20:04:39|Zapoye|geodesic domes|How do you make the pattern of a complex geometry figure such as the icosahedron with a frequence 2 %3F I am trying to build a geodesic dome and have ||32||2 287|2|dan|08/12/2004|20:04:39|David (Guest)|Reuleaux%27s triangle|When Reuleaux%27s triangle is rotated in a square%2C what shape does it%27s center trace%3F What shape do the set of midpoints of all diamters of Reu||31||3 290|0|alexb|07/08/2004|09:48:51|Tump|Pappus Theorem|I have read other CTK pages that indicate there is a way to prove Pappus usign Menelaus. I have tried to do it%2C but everything always cancels. I w||11||5 289|4|alexb|07/06/2004|23:19:14|jjjessek (Guest)|creating dissonance|I am taking an education class now%2C getting ready to teach high school math. I have come to realize that what math teachers neglect%2C and what rea||1||1 288|2|CSpeed0001|06/26/2004|21:31:52|Jack Tedeski (Guest)|Directrix Application|A parabola is defined by a point %28the focus%29 and a line %28the directrix%29. All the practical applications I%27ve come across involve the focus o||17||1 286|3|Mark Huber|05/27/2004|21:16:26|Late_starter|lottery question|OK solve an office argument for me. How do I work out Lottery probabilities%3F%21%0AI realise this is probably far too basic for the majority but if s||6||3 282|3|CSpeed0001|05/10/2004|21:36:49|MPorter (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||38||8 283|2|Ron Olszewski|05/04/2004|07:09:52|Ron Olszewski (Guest)|Trig Identities|A friend and I are taking an online algebra%2Ftrig course. The current test deals with trig identities. Below is the trig identity to prove and my f||11||3 280|3|Irving|04/28/2004|06:59:20|A-9585 (Guest)|Hard Sequence to crack%21%21|Does anyone know the sum of this infinite sequence%3F%0A7%2F10 %2B 8%2F100 %2B 9%2F1000 %2B 10%2F10000 ...%0A%0AI know the formula of it is %286 %2B n||23||3 278|0|Graham C|03/18/2004|11:09:04|NIH|Sum of fourth powers|Here%27s an intriguing puzzle. It%27s quite challenging%2C but uses nothing beyond high school math.%0A%0AThe sum of three numbers is 6%2C the sum of||54||8 277|0|Ariyan|03/08/2004|15:39:34|Ariyan|Some Help Please%3A%29|Hello%2C%0APlease excuse my bad English. My name is Ariyan and I live in Holland. I%27m a great fan of your website and I visit it every day%2C just l||13||6 275|0|japam|02/25/2004|10:56:50|japam|Is 1321 prime %3F my proof|I found this simple proof for the primality of 1321%0A%0APROPOSITION 1%0AA number N of the form %28100M%2B21 %29 is a product %2810A%2B1%29%2A%2810B%2||0||0 208|3|japam|02/24/2004|19:15:06|Cman (Guest)|proving prime number%3F|Hello%3A%0A%0A I just visited your site. I had a simply question to ask%3F I know 1321 is a prime number%3F But%2C is there a%0Aformula or method t||123||4 274|2|academicchamp|02/18/2004|21:16:26|academicchamp|a geometric problem|%40%40%0Ahi%2CI%27m Vietnamese student%2CI have a question%3A let ABC be a triangle with centriod G.Prove that sinGAC %2B sinGBA %2B sinGCB %3C%3D3%2F||0||0 163|0|LInda|02/04/2004|14:08:29|Ray (Guest)|solving exponential equations|solve x%5E2 %3D 2%5Ex||210||7 206|0|Graham C|01/22/2004|07:45:23|Zach Wegner (Guest)|Monty Hall problem... again|There are two solutions that are suggested. Each solution depends upon the representation of data.%0A %0AFor 1%2F2-From contestants POV%2C without %27||344||21 138|3|darij|01/10/2004|13:20:35|Lottie (Guest)|Cantor Point|i need help in finding info on cantor point ||166||4 271|3|alexb|01/07/2004|18:23:06|sundawn|Knowing instersection points|How can we know the intersection points of a line which intersecting two rectangles%0ASuppose line starts from center of one rectagnle and ends at the||1||1 264|0|Speed|11/27/2003|23:48:21|Schrodinger (Guest)|Definition of Function|Can someone provide a practical definition and some real life examples of %27function%27 in mathematics%2C i.e.%2C calculus. The formal definition of||52||4 266|0|alexb|11/02/2003|18:15:20|golland (Guest)|Geometry topic 205 continued| Hi Vladimir%2C%0A%0A I was and still am impressed by your construction solution involving %0A%0A hyperbola.%0A%0A Thanks for taking this problem to t||94||15 268|0|Vladimir|10/06/2003|16:04:33|James (Guest)|equations|I came across a weird question today. It was %22explain why the derivative of the surface area equation of a sphere is 4 times the circumference of th||14||2 205|0|alexb|09/12/2003|08:11:06|golland|geometry|%0A There is a line and two points on the same side of the line. With ruler and compass find a point on the line that the sum of the distances to the |on|1165||30 257|0|Vladimir|09/10/2003|12:47:53|Vladimir|Circle and Square|Continuation of %22Drop a normal%22 topic%0A%0AEver since I learned about the Steiner%27s theorem%2C the weakness of my constructions using the compas||14||1 145|0|Vladimir|09/06/2003|02:30:37|h20skiier4life (Guest)|pythagorean triples|i have a hw problem for my geom. class. it states%3A%0A1%29list the pythagorean triples generated using %3C%3D 5%0A2%29Find expressions for m%2C and n||105||1 228|2|Joe|09/03/2003|16:46:23|Oskar (Guest)|Rectangle areas|Hi%2C%0A%0AA friend of mine gave me a problem that has been bugging me for quite some time now%2C and i was hoping to get som help %28excuse me for me||70||3 259|0|Joe|09/03/2003|16:46:23|Vladimir|Proof of inequality|This problem has been posted as topic %23118 some 1-1%2F2 year ago but without any reply.%0AThe server will not let me reply to this topic.%0A%0A-----||125||17 261|0|Vladimir|08/30/2003|03:01:39|Bractals|Divide Disk|Hi%2C%0A%0AHere is a cute problem - I forget where I first saw it.%0A%0AWith straightedge and compass divide the unit disk into seven parts with equal||57||8 262|2|alexb|08/28/2003|15:09:26|jvriens|construction triangle|%0A Dear Sir%2C%0A %0A I think %28 %21 %29 the construction of a triangle with the combination a%2Cb%2Clc o||2||1 176|0|Vladimir|08/28/2003|14:26:02|saideep|Leap Year|Why the years 1900%2C 1800%2C 1700 etc. are not considered to be leap years%3F %0AT SAIDEEP||155||9 258|2|Vladimir|08/12/2003|09:10:59|Bractals|Concurrent Bisectors|Hi%2C%0A%0AI was playing around with Sketchpad last night and I came up with this question%3A%0A%0AIs it possible to construct with straightedge and c||38||5 255|0|Vladimir|08/10/2003|02:51:01|Bractals|Men and Pennies|Hi%2C%0A%0ABelow is a generalization of a problem you have probably seen before as the Monkey and Coconuts problem with five men and each giving the m||23||5 250|0|alexb|08/01/2003|03:48:37|Vladimir|Drop a normal|To drop a normal from a point to a line%2C the well known construction requires using the compass 3 times. Is it possible to drop a normal using the c|on|466||20 253|0|Vladimir|07/28/2003|21:45:29|Bractals|Triangular Billiard Table|Hi%2C%0A%0AHere is a problem involving geometry and trig.%0A%0AGiven a billiard table in the form of a right triangle ABC with B the right angle. Let ||15||3 242|0|Vladimir|07/27/2003|22:01:08|Jonny Griffiths (Guest)|Triples|Take the equation%3A%0A%0Ax %2B 8 %3D 2x %2B 3%2C which gives the answer x %3D 5%0A%0AWhat happens if we mix up the coefficients%3F%0A%0A2x %2B 8 %3D ||26||3 226|3|sfwc|07/27/2003|11:08:06|Taka (Guest)|anticentre%2Bargand diagrams|how can you prove that an anticentre exists in a cyclic quadrilateral ABCD using an argand diagram%3F||26||1 252|0|sfwc|07/26/2003|06:06:38|Vladimir|Pyramid|9 %2A 1 %2B 2 %3D 11%0A9 %2A 12 %2B 3 %3D 111%0A9 %2A 123 %2B 4 %3D 1111%0A9 %2A 1234 %2B 5 %3D 11111%0A9 %2A 12345 %2B 6 %3D 111111%0A9 %2A 123456 %2||27||4 254|3|Vladimir|07/25/2003|18:56:13|Bractals|Angle-Side-Side|Hi%2C%0A%0AI recently saw a beautiful proof of the Steiner-Lehmus theorem. But%2C it used the %22Angle-Side-Side %28Angle%3E90%29%22 postulate. On the||11||3 248|0|Vladimir|07/24/2003|06:41:53|Bractals|Cut Triangle in Half|Hi%2C%0A %0AI came up with the following construction for the given problem.%0AIt checks out with Sketchpad. See what you think.%0A %0ABractals%0A %0A||121||20 251|0|Michael Klipper|07/21/2003|09:33:30|Ralph Boles (Guest)|A strange question|Consider the following relation on the set of all people.%0A%0Aa R b a and b have visited the same cities.%0A%0Ais R transitive i.e. %28aRb and bRc ||1||1 249|0|Vladimir|07/18/2003|23:45:22|NJZ|Y-Intercept|Given two points in a plane%2C what is the most concise way to express the y-intercept associated with a linear relationship between the two points in||8||4 245|0|alexb|07/10/2003|23:33:05|medita8|The four travellers problem|There was a terse little note to the effect that I should direct my questions here and not through email. So... my quesion is about the four traveller||27||6 246|0|alexb|07/07/2003|23:32:05|Sam Elliott (Guest)|parallegram proof|who do I e-mail a question about this website to%3F||1||1 244|2|sambasivan|06/27/2003|15:56:28|dinamo_007|can this be done%3F|There are 20 objects on the left side. They all need to be past on to the right side in five days. At least one per day%2C no even numbers%2C counti||6||4 241|0|Cino Hilliard|06/21/2003|16:32:51|Cino Hilliard (Guest)|sin%2818%29 degrees|Hi%2C %0A%0ARecently I found an old note book where I had derived the sin of%0Aseveral angles I had no notes as to how in that book. In bold ink%0AI h||30||12 243|2|Anthony|06/16/2003|14:35:12|Anthony (Guest)|%3F2%2B%3F2%2B%3F2... %3D 2. Why%3F|I know how when %3F2%2B%3F2%2B%3F2... %3D2 %28if the sequence is endless.%29 I understand that this is like .99999999999... %3D 1 if the sequence is e||0||0 239|0|Matthew|06/12/2003|14:03:46|Matthew (Guest)|Uses for factoring trinomials|I am a High School student now%2C and have started taking Algebra. I have learned several of the methods%2C and have seen how they could be used. Ho||26||10 240|2|alexb|06/02/2003|08:58:43|Royalty (Guest)|Egyptian Fractions|This is a very hard problem to solve.%0A%0AThe term Egyptian fractions refers to those fractions whose numerator is 1 and whose denominator is any oth||1||1 235|0|Anthea|05/20/2003|09:21:39|Jess (Guest)|Bulgarian Goats Problem|Hi%2C I have to admit I am new to this forum%2C but it looks very good%21 I%27m a 14 year old maths freak%2C so I often look up previous past maths c||32||11 237|2|Graham C|05/19/2003|14:51:02|Mel (Guest)|Gnomons|%3A%29 From a 17 x 17 sqaure a 16 x 16 square is cut. The L-shaped corridor remaining is an example of a gnomon.%0A%0AThis question asks you to exami||8||1 236|2|RicBrad|05/16/2003|08:59:55|Marcie Ross (Guest)|Where have I gone wrong%3F%21 %281%3D0%29|If I write%0A1-1%2B1-1-1%2B1-...%0Athen this is the same as writing%0A1%2B%28-1%29%2B1%2B%28-1%29%2B...%0Aso%0A1-1%2B1-1-1%2B1-...%3D1%2B%28-1%29%2B1%||5||2 233|3|An|04/30/2003|20:13:06|An (Guest)|another probability question...|Q%3A what is the probability of selecting %22m%22 intergers from %281%2C2%2C3%2C...n%29and having the sum of the %22m%22 intergers be even%3F%0A%28Bas||15||3 234|0|Graham C|04/27/2003|12:16:03|tham yew fai (Guest)|recurrence relations|the problem is%3A%0A%0Afor n%3E%3D1%2Clet a n be the number of ways to write n as an ordered sum %0Aof positive integers where each summand is at lea||2||2 231|0|Graham C|04/26/2003|12:59:02|william (Guest)|sleeping beauty|Hi%2C%0Ai%27d like to discuss Sleeping Beauty %28SB%29 puzzle%3A%0Ayou flip a coin%3B %0Aheads you wake SB on monday and make her a question.%0Atails ||20||6 224|0|elaine|04/07/2003|19:34:11|jane (Guest)|word problem|i cant%27t figure out this word problem%3A Hypatia was born in october in ad 370 in alexandria%2C egypt. some of her work with conic section%2C a righ||19||2 227|0|Jack Wert|03/25/2003|22:36:49|lei you (Guest)|1 %2B 11 %2B 111|hello%2C haven%27t been here for long%0A%0Aokay%2C%0A%0Athis question came out from an Maths comp paper.%0A%0Athe original question is %0A%0AHow many ||8||9 222|4|alexb|01/20/2003|19:10:33|Adrianne (Guest)|equation for a vertical line|i need to find the equation for a vertical line... strictly going up and down%2C however i am having severe difficulties with it... please help||9||5 218|2|alexb|12/13/2002|12:56:23|Arsenic|Triangle ratio|Given 2 different line segments x and y and a triangle ABC%2C I am to construct a triangle%2C similar to ABC%2C but the ratio%27s of the area must be ||7||1 217|2|RicBrad|12/11/2002|13:23:14|leiyou (Guest)|integer%3F|Sorry%2C this prob may have been posted before%0A%0AThe problem goes like this%0A%0Afor what integral value of n will the expression%0A%0A2%2An %2F %2||6||1 211|0|Whymme|12/06/2002|22:13:57|golland|three pancakes again ...|%0A Alex%2C%0A%0A The applet for three pancakes does not work. %0A%0A There are 3 pancakes%3A one Brown on both sides%2C one Golden on both sides%2||92||18 177|0|Adhara|12/06/2002|06:18:36|saideep|Difference|What is the difference between a unit and a dimension%0AT SAIDEEP||87||2 216|0|golland|12/05/2002|17:25:23|Bryan (Guest)|Ways to get 100...|can anyone tell me how i would get to 100%0A%0Ausing the numbers 1 8 4 7%0A%0Au can use any from of mathematics..%2B - %2F %2A and u can use powers%2C||2||2 197|0|Whymme|11/14/2002|20:00:29|Nikhil (Guest)|math|Is 0.99999.... a rational number%3F%0A%0AIs it less than one or equal to one%3F%0A%0APlease help.||79||5 213|2|Whymme|11/14/2002|20:00:29|Rachel (Guest)|Math%2FWord Puzzles|I have a problem to do in which letters represent numbers. The specific one I don%27t understand is SEND %2B MORE %3D MONEY. The %22E%27s%22 are the s||1||1 212|0|Jen|11/10/2002|19:07:40|Jen|power of 2|Hi. I%27m trying to settle the following problem but having difficult making further progress. Any hints or suggestions would be really appreciated. ||38||2 199|0|Lech|11/05/2002|11:15:29|leiyou|a %2F 0 %2A 0 %3D a %3F|does a %2F 0 %2A 0 %3D a%3F%0A%0Aa %5E -b %2A a %5E b %0A%3D %0Aa %5E %28b - b%29%0A%3D%0A1%0A%0Athen if a %3D 0%0A%0A0 %5E -b %2A 0 %5E b %3D 1%0A%0A||73||10 210|0|alexb|10/17/2002|23:12:54|golland|cut in 2|%0A I am trying to solve the following problem%3A using ruler and compass%0A draw a line thru a random point inside a triangle that will cut this %0A ||1||1 207|0|Lei You|10/13/2002|08:28:31|Lei You (Guest)|Some questions on Caculus| 0%0A---%0A 0%0A%0Ais there such a mathematical symbol%3F %28 0 %2F 0 %29 %0A%0A%280 %2F 0%29 %2F dx %3D 1 %2F x %3F%0A%0Aor%0A%0Adx %2F %280 %2F 0%2||11||2 190|0|Adhara|10/12/2002|13:37:50|NJZ|Logarithm Notation|I have a quick question about the notation used for logarithms. By convention%2C what base is implied by the notation y %3D log x when no base is spe||39||2 204|0|NJZ|10/04/2002|11:18:09|golland|geometry| %0A A triangle and a point outside of it. Draw a line through the point%0A that will divide triangle into 2 equal areas.||18||3 203|0|NJZ|10/03/2002|08:23:42|jman_red|A puzzle|A puzzle.%0ALet us create a number consisting of the numbers 1-60.%0A%0A123456789101112131415 ... 57585960.%0A%0AWhat is the largest number that can b||5||1 200|3|Daniel|09/17/2002|11:15:37|maree (Guest)|greek cross|in maths we have been asked to solve several tangrams. one of which happens to be a greek cross. The aim is to turn it into a square%2C yet i am compl||7||1 193|0|kumaresh|09/13/2002|21:11:13|jman_red|A Bear of a problem|You and some friends are out flying for fun. Suddenly%2C your small plane begins to fail%2C and you crash in the wilderness. You walk 3.6 miles from t||13||1 173|0|Bo Jacoby|09/13/2002|08:44:07|saideep|Remainder Theorem|There is a problem with the validity of the remainder theorem.%0AThe theorem states that if f%28x%29 is divided by x-a%2C the remainder is f%28a%29%2C||77||2 198|3|alexb|09/10/2002|07:32:24|cyberprincess|Math exhibit|I need help for our Math exhibit.%0A%0A%0ACyberprincess||9||1 195|2|leiyou|09/03/2002|23:43:02|Lei You (Guest)|Parabolas with directrix ax%2Bby%2Bc|Hello people%2C this seems to be an interesting site for mathematics. I am new here%2C so%2C hello to the regulars.%0A%0AI attend high school in Austr||3||2 192|2|alexb|09/03/2002|09:06:05|Crodo (Guest)|Obtaining Polynomial Approximations|If f%28x%29%3Dsinx over the interval 0%3Ex%3Epi%2F2 is wanted to be approximated by g%28x%29%3Dpx %28p is a constant%29 what value of p would you choo||2||1 166|2|Bo Jacoby|09/03/2002|07:46:16|naiinip_ako (Guest)|infinite series|%281%2F2%29 %2B %281%2F4%29 %2B %281%2F8%29 %2B %281%2F16%29 %2B ...%0ADoes this equal 1 or approach 1%3F%0A||218||21 194|0|LilSexy|09/02/2002|07:46:16|LilSexy (Guest)|love the games|I love this games. they make you think. i think this website is really good to get the brain going. i have had time thinking creatively and this he||0||0 191|0|jman_red|08/27/2002|22:26:47|jman_red|Bear of a problem|You and your friends have been out in a recreational plane when you begin to have engine trouble%2C and have to crash land the plane. You successfully||0||0 185|3|Michael Klipper|08/19/2002|06:42:07|matemusic|induction and function|Hi%2C%0Ahere%27s a %22little%22 problem i found in a book about induction %3A%0ALet%27s f a function from the naturals integers N to N that satisfy%3||38||4 104|0|NJZ|08/16/2002|18:04:07|Sim (Guest)|%22cool%22 problem|I need some help finding a cool math problem. It%27s a problem that have a obvious answer%2C but it isn%27t the correct answer. It%27s something you n||681||16 182|0|NJZ|08/16/2002|18:04:07|jman_red|Help%21|Hi Alex%2C I am a big fan of this site and have been for quite some time. I am a sophomore in high school and am fairly gifted in mathematics. My cl||81||6 188|4|NJZ|08/16/2002|12:59:45|jman_red|Ancient Matheticians|I was wondering if anyone could provide some information on historical mathematical figures beginning with Euclid%2C or even before.%0A%0AThanks%2C an||8||4 189|0|a freshman |08/15/2002|14:29:58|a freshman (Guest)|This site is cool%21|Hi%21 I am going to be a freshman this fall. This is my first time to visit this website. I have played some of the game. They%27re hard alright. I s||0||0 187|0|John Mahoney|08/09/2002|14:42:59|John Mahoney (Guest)|Benjamin Banneker%27s Math Puzzles|I%27m a high school math teacher at Benjamin Banneker Academic HS in Washington%2C DC. Briefly%2C I%27ve written a paper on Benjamin Banneker%27s mat||19||7 186|2|alexb|07/30/2002|20:08:45|monika (Guest)|maths .....killing....|How to count the space of a semi -circle %3F%0AIs it ...%0A%28pi%29 x r x r x 0.5 %3F%0A%0Aor how is it %3F%0A%0Amail me if u have another new formula||2||1 184|3|alexb|07/22/2002|22:21:51|missy|Maths work layout help|Hello%2C%0AI am currently doing maths coursework at the mo and so far everything seems to be going alright however I have a problem. I am doing an inv||5||1 181|0|alexb|06/28/2002|12:56:06|Chen Jui Hua|Rational number|%0A Dear Alex%3A%0A%0A Why we use the symbol %22Q%22 to be rational number%2C%0A%0A what is the source of the symbol %3F %0A%0||7||3 180|0|alexb|06/21/2002|00:19:47|curious (Guest)|how to solve x%5Ex%3Da|I found the x%5E%28x%5E3%29%3D3 solution in the site quite interesting and was thinking%3A what about x%5Ex%3Da%3F I have tried hard to solve the prob||1||1 179|0|stapel|06/19/2002|00:53:13|saideep|Logical Thinking|Is there a way in which I can develope lateral thinking%2C logical analysis and reasoning and apply them in mathematics so as to solve even the comple||41||7 178|3|emily|06/07/2002|15:17:42|me (Guest)|Where do I start%3F|4 %28x%2B1%291%2F2 - 5%28x%2B1%293%2F2 %2B %28x%2B1%295%2F2 %3D 0||23||5 174|0|alexb|06/06/2002|09:57:21|Sammi (Guest)|Is it me%3F|I completely failed Algebra this year. There is no telling how many%2C many hours I sat in front of my books with no destractions. But to no prevail%2||10||1 149|1|browser|06/04/2002|09:26:52|nunzone|if you pick 3 numbers between 0 and 9 whats the probability that a dollar bill will have all 3 numbers in the ID number on the bill. the ID number has 8 numbers in it. I am looking for a formula not an answer - thanks|||71||2 171|3|RicBrad|05/20/2002|08:38:03|Crodo (Guest)|Derivative Needed%21|Hi%2C I need help to find the derivative of this equation%3A%0A%0A y %3D %281000%2A0.96%5Et%29%2A e%5E3.247 %2A e%5E%280.0873%2A80%281-0.96%5Et%29%29%||1||1 170|3|reno|05/18/2002|06:47:19|reno|quintal triangle|what is a quintal triangle%2C and or quintal pair%3F %3A-%28||0||0 169|3|Harry Hickey |05/17/2002|22:59:35|Kratoz (Guest)|Single Rational Solution Problem|I would like some help to find the solution to the following%3A%0A%0Asqrt%281%2B114%28n%29%5E2%29%3Dx %3Bx is rational%3B find n%0A%0AThank you to any||9||2 168|2|alexb|05/15/2002|19:47:53|sid1983|geometry|can someone give an elementary proof of the %22BUTTERFLY THEOREM%22%0Afor a general conic%3F||1||1 162|3|jrr7|05/09/2002|14:57:21|Anita Bing (Guest)|Geometry%3AArea|Archibold left his horse%2C Hremilda%2C tied to the corner of a barn by a 12-m rope. The barn measures 8 m by 10 m. Find the total grazing area for Gr||9||2 164|3|jrr7|05/09/2002|14:57:21|Rachel (Guest)|Divison of powers|I don%27t really under stand a simply and easy way to divide exponents without actually showing all the work. FOr example the problem 15%5E30%2F45%5E1||6||2 167|0|alexb|05/08/2002|07:50:53|nrobastos1|Morley theorem|In Connes%27s proof of Morley%27s theorem is said that A %2B jB %2B j%5E2C %3D 0 is a classical characterization of equilateral triangles.%0A%0AI want||1||1 157|3|stapel|05/03/2002|20:03:02|Hawk789|Help%21 Precalculus Problem|Hi%2C%0AI am a recent member of he CTK Exhange and alredy have I started to love the mathematical atmosphere of this place. I have looked around at o||30||1 159|0|jrr7|05/03/2002|16:26:20|Sprites (Guest)|A geometry problem|I am having trouble figuring out how to disprove that the following matrix has a euclidian representation.%0A%0A %0A%7Cx%7C %7Cx%7C %7C %7Cx%7C %7C %7||18||2 160|3|Froment|04/30/2002|07:56:41|amchavez|Birthday coincidences|I am trying to figure out the probability of 2 students birthdays falling on the same day%2C out of 28 students. HELP%21||2||1 155|3|alexb|04/27/2002|09:08:51|ewon (Guest)|a game of basketball|can anyone please give help%3F I have this question that I need to answer for extra credit for my math class. Here it is%3A%0AIn Xenon basketball%2C %||7||1 156|0|alexb|04/27/2002|09:05:38|ewon|binomial expression problem%21%21|please help%21%21%21%21%21%21%21%21%21 it%27s anotehr one of my extra credit problems. Here we go%3A%0AIf %28x%2B1%29%5En is multiplied out%2C how man||7||1 158|2|alexb|04/27/2002|08:55:45|Karl (Guest)|Imaginery Numbers|We were given this question back in the previous subject of imaginery numbers%2C but no-one solved it satisfactorily. It is still annoying me and i wo||2||1 153|0|stapel|04/20/2002|11:47:34|karatedude5|I need help on some binary system|I found on a site that in binary the letter A %3D 01000001 than B %3D 1000010. If im right please tell me if i wrong please help me.||11||4 154|2|Have_Blue|04/17/2002|15:33:00|Alexyy (Guest)|Question sqrt|Hi all%2C%0A%0AI need the complete solution for %3A%0A%0A%0A%28sqrt%287%2B4%2Asqrt%283%29%29%29%2A%28sqrt%287-4%2Asqrt%283%29%29%29%0A%0Athanks||2||1 152|2|karatedude5|04/12/2002|15:50:28|karatedude5|Question on Binary system %28letters%29|I am new at the binary system. I need someone to please teach me the letters of binary system or give me a link to a site where i can learn them. %0||8||3 151|0|stapel|04/12/2002|12:16:29|grandmaster (Guest)|foci|What is the definition of a focus of an ellipse and how do I find its location%3F||5||2 146|2|diggerdan|04/12/2002|12:16:29|kesavan7777|perpendicular st.lines-their slopes|It is a well known fact that product of slopes of two perpendicular lines is -1. Now my question is the above fact should also hold good for x and y a||34||2 150|0|stapel|04/10/2002|06:58:23|IAmNum1|Math Comp. Question|Got this question on a math competition. I got 130 for the answer but they say I%27m wrong. Please have a look and if I am wrong please tell me how to||4||3 148|3|Mr. Bartlett|04/06/2002|13:31:26|mtmer (Guest)|Tower of Hanoi|Hi%2C I have a grad standard due in high school on the Tower of Hanoi with 7 disks. What is the algorithm for 7 of them%3F I just don%27t really get h||24||3 147|0|bssim|03/26/2002|09:20:30|bssim|Solving simultaneous equations|Can anyone solve the following simultaneous equations%3F%0A%0AA%2BB%2BC%3D360 degrees....................%281%29%0Ak%5E2%3D40%5E2%2B50%5E2-2%2840%29%2||30||4