Geometry

Geometry

Geometry геометрия Géométrie Geometria
Geometry

Geometry

Geometry геометрия Géométrie Geometria

عناوین یادداشت‌ها

  • توجه پنج‌شنبه 22 تیر 1396 10:52
    دوستان سلام، لطفا توجه داشته باشید که از این لحظه این وبلاگ آرشیو می شود و فقط ممکن است پست های مهم در آن قرار داده شود. لطفا از این پس به وب سایت جدید ما به نشانی زیر مراجعه کنید. http://geometryislife.rozblog.com به عنوان مژده می توانم بگویم که در وبسایت جدید،امکان ثبت نام و نیز پرسش و پاسخ فراهم آمده.(در واقع برای...
  • «مریم میرزاخانی»به سرطان مبتلا شد/آخرین وضعیت سلامت نابغه ایرانی چهارشنبه 21 تیر 1396 15:18
    مریم میرزاخانی، ریاضیدان ایرانی و استاد دانشگاه استنفورد با بیماری سرطان دست و پنجه نرم می کند. مشروح خبر در ادامه مطلب... به گزارش خبرنگار مهر ، پیگیری های خبرنگار مهر حاکی از آن است که مریم میرزاخانی، ریاضیدان نابغه ایرانی هم اکنون به دلیل بیماری سرطان در بیمارستان به سر می برد. یکی از نزدیکان وی از وخیم بودن بیماری...
  • Music of first 301 digits of pi شنبه 17 تیر 1396 00:00
  • IMO - SL-2008 - G4 پنج‌شنبه 15 تیر 1396 14:43
    In an acute triangle ABC segments BE and CF are altitudes. Two circles passing through the point A anf F and tangent to the line BC at the points P and Q so that B lies between C and Q. Prove that lines PE and QF intersect on the circumcircle of triangle AEF. To see figure click here
  • ?What is math چهارشنبه 14 تیر 1396 10:36
    Math isn't the art of answering mathematical questions, it is the art of asking the right questions, the questions that give you insight, the ones that lead you in interesting directions, the ones that connect with lots of other interesting questions the ones with beautiful answers. G. Chaitin
  • Quote #1 سه‌شنبه 13 تیر 1396 00:00
    Since you are now studying geometry and trigonometry, I will give you a problem. A ship sails the ocean. It left Boston with a cargo of wool. It grosses 200 tons. It is bound for Le Havre.. . .There are 12 passengers aboard. The wind is blowing East-North-East. The clock points to a quarter past three in the...
  • IGO2016-P3 دوشنبه 12 تیر 1396 00:00
    Find all positive integers N such that there exists a triangle which can be dissected into N similar quadrilaterals.
  • How to draw perfect freehand circles یکشنبه 11 تیر 1396 16:03
  • the duplication of the cube شنبه 10 تیر 1396 15:28
    There are three famous problems of antiquity. 1)the duplication of the cube 2)the trisection of the general angle 3)the squaring of the circle Which there wasn't any solution for them. But now there are some solutions for these problems. In this post I want you to find the answer of problem 1. Help: 1)for this you...
  • Contest#01 پنج‌شنبه 1 تیر 1396 08:51
    Hi everybody, I'm holding a contest and if you want you can attend in it. If you like you can send me your solutions by clicking here. After 1 week the solutions will be on website and you can download it only if you are a user.so you can register here. Download questions. For sending solutions and other please click...
  • IGO 2016-P5 چهارشنبه 31 خرداد 1396 09:06
    Let the circles ω and ωintersect in points A and B. Tangent to circle ω at A intersects ωin C and tangent to circle ωat A intersects ω in D. Suppose that the internal bisector of ∠CAD intersects ω and ωat E and F, respectively, and the external bisector of ∠CAD intersects ω and ωin X and Y, respectively. Prove that...
  • Info دوشنبه 29 خرداد 1396 20:27
    از این پس راه حل های خود را برای ما ارسال کنید سایت هندسه(Geometry)این امکان را برای کاربران خود،امکان ارسال راه حل جهت بررسی،تصحیح و یا قرار دادن راه حل در سایت با نام نویسنده،فراهم آورده است. علاقه‌مندان می‌توانند از طریق لینک زیر برای ما راه حل های خود را ارسال کنند: Sendsolution به برترین راه حل ها،به قید...
  • 3rd Iranian Geometry Olympiad-P4 یکشنبه 21 خرداد 1396 19:15
    Let ω be the circumcircle of right-angled triangle ABC (∠A = 90◦). Tangent to ω at point A intersects the line BC in point P. Suppose that M is the midpoint of (the smaller) arc AB, and PM intersects ω for the second time in Q. Tangent to ω at point Q intersects AC in K. Prove that ∠PKC = 90◦. Proposed by Davood...
  • ! The list of students invited to the final round of xiii sharygin geometry olympiad شنبه 20 خرداد 1396 12:28
    جهت دانلود لیست اسامی پذیرفته شدگان سیزدهمین المپیاد بین المللی هندسه شاریگین(روسیه) می‌توانید اینجا کلیک کنید. ضمن عرض تبریک و آرزوی موفقیت برای پذیرفته‌شدگان این مرحله،باید بگویم از ایران تنها ۸ نفر به مرحلهٔ نهایی راه پیدا کرده‌اند.
  • Tiling with two kinds of figures شنبه 20 خرداد 1396 11:08
    We call rectagle of the size 1 x 2 domino. Rectangle of the 2 x 3 removing two opposite (under center of rectangle) corners we call tetramino. These figures can be rotated. It requires to tile rectangle of size 2008x 2010 by using dominoes and tetraminoes. What is the minimal number of dominoes should be used
  • IMO2005-P5 چهارشنبه 17 خرداد 1396 15:16
    Let ABCD be a xed convex quadrilateral with BC = DA and BC not parallel with DA. Let two variable points E and F lie of the sides BC and DA, respectively and satisfy BE = DF. The lines AC and BDmeet at P, the lines BD and EF meet at Q, the lines EF and AC meet at R. Prove that the circumcircles of the triangles PQR,...
  • IMO 2005-P1 چهارشنبه 17 خرداد 1396 15:14
    Six points are chosen on the sides of an equilateral triangle ABC: A1, A2 on BC, B1, B2 on CA and C1, C2 on AB, such that they are the vertices of a convex hexagon A1A2B1B2C1C2 with equal side lengths. Prove that the lines A1B2;B1C2 and C1A2 are concurrent. ======================================================== To...
  • 34th United States of America Mathematical Olympiad-P3 چهارشنبه 17 خرداد 1396 11:09
    Let ABC be an acute-angled triangle, and let P and Q be two points on side BC. Construct point C1 in such a way that convex quadrilateral APBC1 is cyclic, QC1 CA, and C1 and Q lie on opposite sides of line AB. Construct point B1 in such a way that convex quadrilateral APCB1 is cyclic, QB1 BA, and B1 and Q lie on...