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    The largest collection of interactive geometric construction problems: Euclidea, Pythagorea, and XSection apps (iOS/Android/Web).
    @euclidea_app

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Instagram media by  (@euclidea_app) - Let us continue Weekly Puzzle! This time a reward is three promo codes to unlock… 2130658725987050268
Let us continue "Weekly Puzzle"! This time a reward is three promo codes to unlock night mode in the #Euclidea app. Our new puzzle is similar to Pythagorea's ones. The task is: 🎓 Construct the longest non-self-intersecting polyline whose vertices are nodes of the 6x6 grid and the length of each edge is √5. What you need: ✅ Carefully read the statement of the problem and look at the picture with example ✅ Solve the problem on squared paper or in one of the levels from #Pythagorea app (like 1.1) ✅ Post a screenshot of your solution. Your account should be public so that we can see your post. ✅ Add hashtags #euclidea and #euclidea_puzzle_8 ✅ Mention @euclidea_app on the screenshot ✅ Write a proof why your answer is correct (optional) ☑ You can also send us a message with solution in Direct, but publishing a post is better Three winners will be selected early next week. ❗Reminder Solutions will be checked in Instagram only. We are waiting for your answers: https://www.instagram.com/euclidea_app/ #euclidea #pythagorea #geometry #math #mathgames #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #puzzle #problem #solution #drawing #solve #teaser #student #brainwash #pythagoras #learn #school #imagination
Instagram media by  (@euclidea_app) - Updated #Pythagorea with new chapter Polyomino. A #polyomino is a plane geometric… 2127013177031402095
Updated #Pythagorea with new chapter "Polyomino". A #polyomino is a plane geometric figure formed by joining one or more equal squares edge to edge. In the new levels you need to dissect the figure into equal parts. It is fun and not difficult at all. Enjoy! #Android https://play.google.com/store/apps/details?id=com.hil_hk.pythagorea #iOS https://apps.apple.com/app/pythagorea/id994864779 ⠀ ⠀ 🇷🇺 Мы выпустили обновление #Пифагории с новым разделом "Полимино". #Полимино - это плоская геометрическая фигура, образованная путём соединения нескольких одноклеточных квадратов по их сторонам. В новых задачах вам потребуется разрезать фигуру на одинаковые части. Это забавно и совсем несложно. ⠀ #euclidea #geometry #math #maths #mathgames #mtbos #edtech #iteachmath #mathematics #msmath #hsmath #mathisbeautiful #tetris #domino #logic #puzzle #teaser #brainwash #pythagoras #геометрия #математика #математикадлядетей #математикадляшкольников #тетрис
Instagram media by  (@euclidea_app) - Weekly Puzzle A reward for the puzzle is three promo codes to unlock hints in… 2125533943779934878
"Weekly Puzzle" A reward for the puzzle is three promo codes to unlock hints in the Euclidea app. The task is: 🎓 Three lines are intersected in a point. Construct a line in 4 moves so that the set of all four lines is mirror symmetric. The sequence of moves should be circle-cirlce-line-line. What you need: ✅ Carefully read the statement of the problem and look at the picture closely ✅ Solve the problem in the Euclidea app (level 6.10) or in the browser version: https://www.euclidea.xyz/game/4SymmetricLines ✅ Post a screenshot of your solution. Your account should be public so that we can see your post. ✅ Add hashtags #euclidea and #euclidea_puzzle_7 ✅ Mention @euclidea_app on the screenshot ✅ Write a proof why your answer is correct (optional) ☑ You can also send us a message with solution in Direct, but publishing a post is better Three winners will be selected early next week. ❗Reminder Solutions will be checked in Instagram only. We are waiting for your answers: https://www.instagram.com/euclidea_app/ #pythagorea #xsection #geometry #solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #logic #puzzle #problem #solution #drawing
Instagram media by  (@euclidea_app) - Weekly Puzzle Last week we posted hints on centroids, see the #euclidea_centroids… 2120336695223763739
"Weekly Puzzle" Last week we posted hints on centroids, see the #euclidea_centroids tag. Let us check how they help🤓 A reward for this puzzle is three promo codes to unlock levels in the Euclidea app. The task is: 🎓 Construct the common centroid of four circles using ONE line only. (Point is not considered as a move!) What you need: ✅ Carefully read the statement of the problem and look at the picture closely ✅ Solve the problem in the Pythagorea 60° app (level 26.13) or on a piece of paper ✅ Post a screenshot of your solution. Your account should be public so that we can see your post. ✅ Add hashtags #euclidea and #euclidea_puzzle_6 ✅ Mention @euclidea_app on the screenshot ✅ Write a proof why your answer is correct (optional) ☑ You can also send us a message with solution in Direct, but publishing a post is better Three winners will be selected early next week. ❗Reminder Solutions will be checked in Instagram only. We are waiting for your answers: https://www.instagram.com/euclidea_app/ #centroid #pythagorea #pythagorea60 #geometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #logic #puzzle #drawing #teaser #sketch #student #brainwash #school #imagination #arithmetic ⠀ 👇🇷🇺🇷🇺🇷🇺👇
Instagram media by  (@euclidea_app) - Users of #Pythagorea often ask hints to solve levels from the #Centroid chapter.… 2116810894788525945
Users of #Pythagorea often ask hints to solve levels from the #Centroid chapter. The centroid of a plane figure is the arithmetic mean position of all the points in the shape. There are some useful facts (mix them to find the solution): 📐The centroid of a triangle is the intersection of its three medians. 📐The centroid of centrally symmetric figure coincides with the center of symmetry. 📐If a figure is symmetrical about an axis, its centroid lies on this axis. 📐The centroid of figure consisting of two parts lies on the segment connecting the centroids of these parts. 📐The centroid of figure consisting of two parts of the same area is the midpoint between the centroids of these parts. 📐If a figure consists of two parts whose areas are in the m : n ratio, its centroid lies on the segment connecting the centroids of these parts and divides it in the n : m ratio. ⠀ #euclidea_centroids #euclidea #xsection #geometry #math #maths #mathgame #moremath #mtbos #iteachmath #mathematics #proof #mathchat #msmath #hsmath #instamath #mathteacher #iOS #Android #braingames ⠀ 👇👇🇷🇺🇷🇺🇷🇺👇👇
Instagram media by  (@euclidea_app) - Weekly Puzzle A reward for this puzzle is three promo codes to unlock levels in… 2115292733974997028
"Weekly Puzzle" A reward for this puzzle is three promo codes to unlock levels in the Euclidea app. Our new puzzle is a "hit" of Pythagorea. We receive a lot of emails from angry players who claim that it is impossible to solve it. You need to refute them and to do it with just one auxiliary line. The task is: 🎓 Construct the midpoint of the segment using ONE line only. (Point is not considered as a move!) ⠀ What you need: ✅ Carefully read the statement of the problem and look at the picture closely ✅ Solve the problem in the #Pythagorea app (level 1.13) or on squared paper ✅ Post a screenshot of your solution. Your account should be public so that we can see your post. ✅ Add hashtags #euclidea and #euclidea_puzzle_5 ✅ Mention @euclidea_app on the screenshot ☑ You can also send us a message with solution in Direct, but publishing a post is better Three winners will be selected early next week. ❗Reminder Solutions will be checked in Instagram only. We are waiting for your answers: https://www.instagram.com/euclidea_app/ #euclidea #pythagorea #pythagorea60 #xsection #tchisla #geometry #solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath
Instagram media by  (@euclidea_app) - Continue Weekly Puzzle! A reward for the puzzle is three promo codes to unlock… 2110322509347114288
Continue "Weekly Puzzle"! A reward for the puzzle is three promo codes to unlock levels in the #Euclidea app or to unlock extended gallery in the #Tchisla app. Let us start! The task is: 🎓Express the number 50 using only five digits 8. You can use the following arithmetic operations: + - * / √ ^ What you need: ✅Carefully read the task and look at the examples ✅Solve the problem in the #Tchisla app (iOS only) or on the piece of paper or in the app like Notepad ✅Post a screenshot of your solution (your account should be public that we can see your post) ✅Add hashtags #euclidea and #euclidea_puzzle_4 ✅ Mention @euclidea_app on the screenshot You can also send us a message with solution in Direct, but publishing a post is better Three winners will be selected early next week. ❗️Reminder. Solutions will be checked in Instagram only. We are waiting for your answers: https://www.instagram.com/euclidea_app/ #tchisla #euclidea #pythagorea #xsection #geometry #math #maths #mathgame #moremath #mtbos #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #mathteacher
Instagram media by  (@euclidea_app) - As we promised, here are all 2-move solutions and one proof for the task from the… 2109651810232153136
As we promised, here are all 2-move solutions and one proof for the task from the second week of Weekly Puzzle, #euclidea_puzzle_2. ⠀ 🎓 The task is: Construct a tangent to the circle at the point A, using TWO lines only. ⠀ 🎓 Solution: The task has six different 2-move solutions. They are based on four auxiliary points that can be constructed using one of six lines. See the carousel for all solutions. ⠀ 🎓 Proof: [1] AB = 4 - diameter [2] BD = 4 - by construction [3] Considering [1] and [2], AB = BD [4] < ABC = < CBD - subtend equal arcs [5] BC - common side [6] △ABC ≅ △DBC by SAS (side-angle-side) [7] < CDB = 90° by construction, therefore < CAB = 90° (CPCTC) It follows that the line AC is tangent. ⠀ 🇸🇮 Как и обещали показываем все двухходовые решения и одно доказательство для задачи из второй недели Weekly Puzzle, #euclidea_puzzle_2. ⠀ 🎓 Задача: Построить касательную к окружности, проходящую через точку А, проведя только ДВЕ прямые. ⠀ 🎓 Решение: Задача допускает 6 различных двухходовых решений. При этом используются четыре разных вспомогательных точки и шесть разных вспомогательных прямых. Построения смотрите в карусели. ⠀ 🎓 Доказательство: AB = 4 - диаметр BD = 4 - по построению => AB = BD < ABC = < CBD - т.к. опираются на равные дуги BC - общая сторона Треугольники ABC и DBC равны по двум сторонам и углу между ними (первый признак равенства треугольников). < CDB = 90° - прямой (по построению), а значит и < CAB тоже, т.к. треугольники равны. Из этого следует, что прямая AC является касательной. ⠀ #euclidea #pythagorea #pythagorea60 #xsection #tchisla #geometry #solidgeometry #math #proof #geometrygame #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #головоломки #геометрия #стереометрия #математика #математикадлядетей #backtoschool #tptmath #mathematics #matematika #algebra
Instagram media by  (@euclidea_app) - A diagonal section of a cube is a rectangle but not a square. That is why its diagonals… 2106668548069115888
A diagonal section of a cube is a rectangle but not a square. That is why its diagonals are not perpendicular. Our users often forget this small fact when constructing the section of a cube that is perpendicular to the given diagonal of the cube in level 9.5 in #XSection on Android. Therefore, we have prepared a video showing sections of the cube that are #perpendicular to its diagonal. ⠀ ⠀ 🇷🇺 Диагональное сечение куба - прямоугольник, но не квадрат, поэтому его диагонали не перпендикулярны. ⠀ Эту небольшую истину часто забывают наши пользователи, когда строят сечение куба, перпендикулярное его диагонали, в задаче 9.5 в XSection на #Android. ⠀ Мы подготовили для вас визуализацию, чтобы напомнить, как выглядят сечения куба, перпендикулярные его диагонали. #euclidea #pythagorea #xsection #tchisla #geometry #solidgeometry #math #maths #mathgame #geometrygame #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #backtoschool #головоломки #геометрия #стереометрия #математика #математикадлядетей #математикадляшкольников
Instagram media by  (@euclidea_app) - Continue Weekly Puzzle! A reward for the puzzle is three promo codes to unlock… 2105134675367778619
Continue "Weekly Puzzle"! A reward for the puzzle is three promo codes to unlock Night Mode in the #Euclidea app. Let us start! The task is: 🎓 Construct a parallelogram given a side and the midpoint of the opposite side in 5 moves. A move is a line, perpendicular, perpendicular bisector or a parallel line. What you need: ✅ Carefully read the statement of the problem and look at the picture closely ✅ Solve the problem in the #Euclidea app (level 6.8) or in the browser version: https://www.euclidea.xyz/game/ParallelogramBySP ✅ Post a screenshot of your solution. Your account should be public that we can see your post. ✅ Add hashtags #euclidea and #euclidea_puzzle_3 ✅ Mention @euclidea_app on the screenshot ✅ Write a proof why your answer is correct (optional) ☑ You can also send us a message with solution in Direct, but publishing a post is better Three winners will be selected early next week. ❗Reminder. Solutions will be checked in Instagram only. We are waiting for your answers: https://www.instagram.com/euclidea_app/ #euclidea #pythagorea #pythagorea60 #xsection #tchisla #geometry #solidgeometry #math #maths #mathgame #geometrygame #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #головоломки #геометрия #стереометрия #математика #математикадлядетей #математикадляшкольников #mathteacher 👇👇👇🇷🇺🇷🇺🇷🇺👇👇👇
Instagram media by  (@euclidea_app) - Continue Weekly Puzzle! A reward for the puzzle is three promo codes to unlock… 2100056302178222682
Continue "Weekly Puzzle"! A reward for the puzzle is three promo codes to unlock hints in the #Euclidea app. Let us start! The task is: 🎓 Construct a tangent to the circle at the point A, using TWO lines only. What you need: ✅ Carefully read the statement of the problem and look at the picture closely ✅ Solve the problem in the #Pythagorea app (level 25.12) or on squared paper ✅ Post a screenshot of your solution. Your account should be public that we can see your post. ✅ Add hashtags #euclidea and #euclidea_puzzle_2 and mention @euclidea_app. ✅ Write a proof why your answer is correct (optional) Three winners will be selected early next week. ☑ You can also send us a message with solution in Direct, but publishing a post is better ⠀ ❗Reminder Solutions will be checked in Instagram only. We are waiting for your answers: https://www.instagram.com/euclidea_app/ ⠀ ⠀ ⠀ ⠀ 🇷🇺 Продолжаем рубрику "Головоломка недели". В этот раз мы разыграем 3 промокода для разблокировки подсказок в приложении #Euclidea. Итак, начнем! Задача: 🎓 Построить касательную к окружности, проходящую через точку А, проведя только ДВЕ прямые. Что нужно делать: ✅ Внимательно прочитать условие задачи и рассмотреть картинку в посте ✅ Решить задачу в приложении #Пифагория (задача 25.12) или на бумаге в клеточку ✅ Выложить скриншот с решением в свой аккаунт. Ваш профиль должен быть открыт, чтобы мы могли увидеть вашу публикацию. ✅ Отметить наш аккаунт @euclidea_app и добавить хэштеги #euclidea и #euclidea_puzzle_2 ✅ Написать свои рассуждения, почему ответ верный (по желанию) ☑ Вы также можете прислать нам сообщение с решением в Direct, но нам приятнее будет видеть ваш пост ⠀ ⠀ 3 победителя среди правильно ответивших будут выбраны в начале следующей недели. ⠀ ⠀ ⠀ ⠀ ❗Напоминаем, что проверка ответов и розыгрыш призов проводится только в Instagram. Ждем ваших решений: https://www.instagram.com/euclidea_app/ #euclidea #pythagorea #pythagorea60 #xsection #tchisla #geometry #solidgeometry #math #maths #mathgame #geometrygame #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #головоломки #геометрия #стереометрия #математика
Instagram media by  (@euclidea_app) - Welcome to Weekly Puzzle! A reward for the first puzzle is three promo codes to… 2095001400221385420
Welcome to "Weekly Puzzle"! A reward for the first puzzle is three promo codes to unlock levels in the #Euclidea app. Let us start! The task is: 🎓 Construct the line through the point A that is #perpendicular to the given one, using TWO lines only. What you need: ✅ Carefully read the statement of the problem and look at the picture closely ✅ Solve the problem in the #Pythagorea app (level 6.14) or on squared paper ✅ Post a screenshot of your solution and add hashtags #euclidea and #euclidea_puzzle or send us a message in Direct ✅ Mention @euclidea_app ✅ Write a proof why your answer is correct (optional) Three winners will be selected early next week. ❗Reminder Solutions will be checked in Instagram only. We are waiting for your answers: https://www.instagram.com/euclidea_app/ 🇸🇮 Дорогие друзья! Мы рады приветствовать вас в рубрике "Головоломка недели". За первую задачу будет разыграно 3 промокода для разблокировки уровней в приложении #Euclidea. Итак, начнем! Задача: 🎓 Построить прямую, проходящую через точку А и перпендикулярную данной, проведя только ДВЕ прямые. Что нужно делать: ✅ Внимательно прочитать условие задачи и рассмотреть картинку в посте ✅ Решить задачу в приложении #Пифагория (задача 6.14) или на бумаге в клеточку ✅ Выложить скриншот с решением в свой аккаунт с хэштегами #euclidea и #euclidea_puzzle или написать нам в Direct ✅ Отметить наш аккаунт @euclidea_app ✅ Написать свои рассуждения, почему ответ верный (по желанию) 3 победителя среди правильно ответивших будут выбраны в начале следующей недели. ❗Напоминаем, что проверка ответов и розыгрыш призов проводится только в Instagram. Ждем ваших решений: https://www.instagram.com/euclidea_app/ #euclidea #pythagorea #pythagorea60 #xsection #tchisla #geometry #solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #головоломки #геометрия #стереометрия #математика