Photos, videos and stories from instagram posts tagged with #pythagorea

Images, videos and stories tagged with #pythagorea

🗺🏝🏴☠️🧭 "Weekly Puzzle"
#euclidea_puzzle_30
The task is:
🎓 Searching for a buried #treasure, the Pirate walked 1 mile South, turned East and walked another 1 mile, turned 30 ° North and walked another 1 mile. At what angle does the Pirate need to turn now to return straight to the starting point?
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Leave your answer in the comments below! 👇
✅ Write a proof why your answer is correct (optional)
Like and share with your friends ❤️❤️❤️ One winner will be selected early next week. A reward for the puzzle is one promo code to unlock levels in the Euclidea app. ❗ Prizes for the correct answers are awarded in Instagram only. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#Euclidea#Pythagorea#geometry #math #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #logic #puzzle #problem #solution #drawing #brainteaser #piratesofthecaribbean #pirate #quiz #quadrangle #braingames

📸 A small photo report from the Mathematical Festival, which took place on February 9 at the Economic Faculty of Lomonosov Moscow State University in Moscow. Our station 'Pythagorea game' was very popular. Three tables were not enough and children enthusiastically solved problems standing all around and even on the floor. Their parents and organizers were also curious and then could not stop solving our #puzzles. Thanks for the great festival!🙏 #math#mathgame#mathfestival#Pythagorea #Euclidea #conference #mathematics #geometry

"Weekly Puzzle"
The task is:
🎓 Construct both tangents to the circle from the point A, using FIVE 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 25.17) 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_29
✅ 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
Like and share with your friends ❤️❤️❤️ One winner will be selected early next week. A reward for the puzzle is one promo code to unlock levels in the Euclidea app. ❗ Prizes for the correct answers are awarded in Instagram only. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#geometry#tangent #math #mathgames #moremath #mtbos #edtech #iteachmath #iteachgeometry #mathematics #proof #mathchat #logic #puzzle #problem #solution #drawing #brainteaser #school #quiz

"Weekly Puzzle"
The task is:
🎓 Construct the third segment with the ends at grid nodes, passing through the intersection point of two given segments.
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Solve the problem in the #Pythagorea app (like level 1.1) 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_28
✅ 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
Like and share with your friends ❤️❤️❤️ One winner will be selected early next week. A reward for the puzzle is one promo code to unlock levels in the Euclidea app. ❗ Prizes for the correct answers are awarded in Instagram only. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#geometry#solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #logic #puzzle #problem #solution #drawing #brainteaser #school

"Weekly Puzzle"
A reward for the puzzle is three promo codes to unlock hints in the Euclidea app
The task is:
🎓 On grid 6x6, construct a convex polygon with maximum number of sides.
The polygon vertices are in the grid nodes.
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Solve the problem in the #Pythagorea app (like level 1.1) 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_20
✅ 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. ❗ Prizes for the correct answers are awarded in Instagram only. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#geometry#solidgeometry #math #maths #mathgames #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #logic #puzzle #problem #solution #drawing #brainteaser #highschool #polygon #convexpolygons #euclid

"Weekly Puzzle"
A reward for the puzzle is three promo codes to unlock hints in the Euclidea app.
The task is:
🎓 Construct the shortest closed path by grid nodes around the circle from point A.
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Solve the problem in the #Pythagorea app (like level 25.4) or on squared paper. It has a similar layout but you need to shift the point A one cell up.
✅ Post a screenshot of your solution. Your account should be public so that we can see your post.
✅ Add hashtags #euclidea and #euclidea_puzzle_18
✅ 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. ❗ Prizes for the correct answers are awarded in Instagram only. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#geometry#solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #logic #puzzle #problem #solution #drawing #brainteaser #highschool

"Weekly Puzzle"
A reward for the puzzle is three promo codes to unlock levels in the Euclidea app.
The task is:
🎓 On grid 6x6, construct as many non-intersecting segments of length √5 as possible. The segment vertices are in the grid nodes and cannot be shared by different segments.
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Solve the problem in the #Pythagorea app (like level 1.1) 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_17
✅ 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. ❗ Prizes for the correct answers are awarded in Instagram only. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#geometry#solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #logic #puzzle #problem #solution #drawing #brainteaser #highschool

"Weekly Puzzle"
A reward for the puzzle is three promo codes to unlock hints in the Euclidea app.
The task is:
🎓 Dissect a square 6x6 into 8 convex pentagons whose vertices are grid nodes.
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Solve the problem in the #Pythagorea app (like level 1.1) 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_16
✅ 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. ❗ Prizes for the correct answers are awarded in Instagram only. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#geometry#solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #logic #puzzle #problem #solution #drawing #brainteaser #highschool

"Weekly Puzzle"
A reward for the puzzle is three promo codes to unlock Night Mode in the Euclidea app.
The task is:
🎓 Reflect the angle across the given line AB 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 24.7) 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_15
✅ 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. ❗ Prizes for the correct answers are awarded in Instagram only. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#geometry#solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #logic #puzzle #problem #solution #drawing #brainteaser #highschool

"Weekly Puzzle"
A reward for the puzzle is three promo codes to unlock levels in the Euclidea app.
The task is
🎓 Given two circles intersecting at points X and Y. The centers of the circles are not given (not in the drawing). Construct a line passing through the point X and parallel to the segment connecting centers of the given circles. You can use compass and straightedge only.
Try to optimize your solution in 4 moves (optional).
⠀
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Solve the problem in the Euclidea app (like level 1.6) or in the browser version:
https://www.euclidea.xyz/game/CircleCenter
✅ Post a screenshot of your solution. Your account should be public so that we can see your post.
✅ Add hashtags #euclidea and #euclidea_puzzle_14
✅ 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.
⠀ ❗ Prizes for right answers give out only in Instagram. We are waiting for your solutions: https://www.instagram.com/euclidea_app/
#parallellines#pythagorea#xsection #geometry #solidgeometry #math #maths #mathgames #moremath #mtbos #edtech #iteachmath #mathematics #proof #mathchat #msmath #hsmath #mathisbeautiful #instamath #logic #puzzle #problem #solution #drawing

Solution for #euclidea_puzzle_10
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🎓 The task is:
Direct the beam from point A to point B using one reflection from the exterior border of the grid.
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🎓 Solutions:
1.
If it was possible to extend the grid beyond the border we could reflect point A across the horizontal line r, and connect its reflection A' with B. The intersection point of this line with r is the desired point P.
But in Pythagorea you cannot go out of the borders of the game grid so this method is not applicable.
2.
Our user @6.cats demonstrates another method. See the carousel for all solutions.
You should find the middle of AB (it is not difficult) and connect it with a point of the line r - the midpoint of the segment AA'. At the scheme the dotted line is the mid-segment in the triangle AA'B. By the property of the mid-segment, each segment connecting A with any point on the line A'B is divided in half by the dashed line. The required segment of AP is divided in half. The middle of AP lies on the horizontal line r', that is on the intersection of the dashed line with the line r'. Find its midpoint, connect it with A, and we get the intersection with r in point P.
#euclidea#pythagorea#geometry#midsegment #math #proof #geometrygame #moremath #mtbos #edtech #iteachmath #mathematics #mathchat #msmath #hsmath #mathisbeautiful #instamath #iteachgeometry #homothety #ratio

"Weekly Puzzle"
According to statistics, the tasks from Pythagorea in the #WeeklyPuzzle are of most interest to our followers. Sometimes our users send us fresh ideas about new tasks. Recently, one user suggested the section "Trajectories" for Pythagorea. You need to build the trajectory of a ray of light that starts in one point, reflects from the edge of the grid and gets to another point for a certain number of reflections. Let us check in practice! Please write in the comments how do you like this idea?
A reward for the puzzle is three promo codes to unlock hints in the Euclidea app.
The task is:
🎓 Direct the beam from point A to point B using only ONE reflection from the exterior border of the grid! You can try to construct all four solutions! Remember that the angle of incidence is equal to the angle of reflection.
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Solve the problem on squared paper or in one of the levels from #Pythagorea app (like 4.4)
✅ Post a screenshot of your solution. Your account should be public so that we can see your post.
✅ Add hashtags #euclidea and #euclidea_puzzle_10
✅ 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/
#geometry #mathgames #mtbos #edtech #iteachmath #mathematics #mathchat #instamath #matematika #algebra #matematik #riyaziyyat #수학 #mathématiques #mathematik #calculus #matematica #математика #matematyka #science #mathematician #μαθηματικά #mathanxiety

"Weekly Puzzle"
A reward for the puzzle is promo code to unlock levels in the #Euclidea app.
The task is:
🎓 Find as many ways as possible to сonstruct a line parallel to the given one through the given point using only 4 circles and lines.
What you need:
✅ Carefully read the statement of the problem and look at the picture closely
✅ Solve the problem in the #Euclidea app (level 5.1) or in the browser version:
https://www.euclidea.xyz/en/game/packs/Epsilon/level/Parallel
✅ Post a screenshot of your solution. Your account should be public so that we can see your post.
✅ Add hashtags #euclidea and #euclidea_puzzle_9 ✅ 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
The winner 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 #parallel

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

🇬🇷City where Pythagoras was born

Physics Lab work during the first year of engineering! Name the experiment if you can ! @nipurnagc
For credit or removal please DM.
#invention#science#geek#physics#interesting#technology #civilengineering #worldofengineering#talkwidtech #viralvideos #fact #theory #engineering#chemistry #pythagorea #mathematics #amazing

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

"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

"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
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👇🇷🇺🇷🇺🇷🇺👇

Pythagorean Theorem Demonstrated with Fluids
The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
No books or writings by Pythagoras have survived. He probably taught by speaking to his followers, although in the centuries after his death, several forgeries were discovered. The Pythagorean theorem has fascinated people for nearly 4,000 years; there are now an estimated 367 different proofs.
Being able to find the length of a side, given the lengths of the two other sides makes the Pythagorean Theorem a useful technique for construction and navigation. credits @talkwidtech#invention#science#geek#physics#interesting #technology #civilengineering #worldofengineering #talkwidtech #viralvideos #fact #theory #engineering #chemistry #pythagorea #mathematics #amazing#instacool #instagramers #webstagram #bestoftheday #colorful #love #instago #instamood #instagood #carryme #tweegram #look #bestoftheda

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
⠀ 👇👇🇷🇺🇷🇺🇷🇺👇👇

"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

Pythagorean Theorem Demonstrated with Fluids
The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
No books or writings by Pythagoras have survived. He probably taught by speaking to his followers, although in the centuries after his death, several forgeries were discovered. The Pythagorean theorem has fascinated people for nearly 4,000 years; there are now an estimated 367 different proofs.
Being able to find the length of a side, given the lengths of the two other sides makes the Pythagorean Theorem a useful technique for construction and navigation.
.
Follow @talkwidtech to Learn New Amazing Stuff Everyday
.
#invention#science#geek#physics#interesting #technology #civilengineering #worldofengineering #talkwidtech #viralvideos #fact #theory #engineering #chemistry #pythagorea #mathematics #amazing

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

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.
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🎓 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

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.
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🇷🇺 Диагональное сечение куба - прямоугольник, но не квадрат, поэтому его диагонали не перпендикулярны.
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Эту небольшую истину часто забывают наши пользователи, когда строят сечение куба, перпендикулярное его диагонали, в задаче 9.5 в XSection на #Android.
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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

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
👇👇👇🇷🇺🇷🇺🇷🇺👇👇👇

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

Pythagorean Theorem Demonstrated with Fluids. The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is
named for the Greek mathematician and philosopher, Pythagoras. In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry among the three
sides of a right triangle. No books or writings by Pythagoras have survived. He probably taught by speaking to his followers, although in the centuries after his death, several forgeries were discovered. The Pythagorean theorem has fascinated people for nearly 4,000 years; there are now an estimated 367 different
proofs. Being able to find the length of a side, given the lengths of
the two other sides makes the Pythagorean Theorem a
useful technique for construction and navigation. By : @talkwidtech#invention#science#geek#physics#interesting#technology #civilengineering #worldofengineering#talkwidtech #viralvideos #fact #theory #engineering#chemistry #pythagorea #mathematics #amazing

Pythagorean Theorem Demonstrated with Fluids⬜🔶🔷🔸🔹🔺🔻🔳
The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
No books or writings by Pythagoras have survived. He probably taught by speaking to his followers, although in the centuries after his death, several forgeries were discovered. The Pythagorean theorem has fascinated people for nearly 4,000 years; there are now an estimated 367 different proofs.
Being able to find the length of a side, given the lengths of the two other sides makes the Pythagorean Theorem a useful technique for construction and navigation.
.
Follow @technicallyman to Learn New Amazing Stuff Everyday
.
#invention#science#geek#physics#interesting#technology #civilengineering #worldofengineering#talkwidtech #viralvideos #fact #theory#engineering #chemistry #pythagorea#mathematics #amazing#math#theorem #hypothetical

Pythagorean Theorem Demonstrated with Fluids
The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
No books or writings by Pythagoras have survived. He probably taught by speaking to his followers, although in the centuries after his death, several forgeries were discovered. The Pythagorean theorem has fascinated people for nearly 4,000 years; there are now an estimated 367 different proofs.
Being able to find the length of a side, given the lengths of the two other sides makes the Pythagorean Theorem a useful technique for construction and navigation. credits @talkwidtech#invention#science#geek#physics#interesting #technology #civilengineering #worldofengineering #talkwidtech #viralvideos #fact #theory #engineering #chemistry #pythagorea #mathematics #amazing

Demonstração do famoso Teorema de Pitágoras por meio de fluídos, veja que a região ocupada pelo líquido no quadrado que está na hipotenusa corresponde à soma das regiões ocupadas pelos quadrados que estão nos catetos... Quer aprender mais?
Já pensou se esse assunto cai na sua prova e você não sabe responder?
Então não perca tempo e veja questões desse assunto em:
https://bit.ly/assimefacilcanal
No canal do YouTube "Assim é fácil" você encontra questões desse e de outros assuntos além de aulas teóricas e resoluções dos maiores vestibulares do Brasil.
#assimefacil o canal que te ensina física... 🤓👍 @vaicairnoenem@descomplica.universidades@descomplica.universidades@enemaction@matematicagenial
@matematicagenial2
@missaoenem
@desenroladoedu
@vestnaluta_
@vestmapamental
@med.tequero
@vempramimedicina
@medicinaagoravai
@dicasdemat
@focopormed
@movimento.vestibulando
@vestemfoco
@vestibulandanaluta
@physics
@turma_k
@colegiochristus
@medicina.aos30
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@profabraao
#repost from @talkwidtech #reposta#reposta_app @reposta_app
Pythagorean Theorem Demonstrated with Fluids
The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. InAmathematics, theAPythagorean theorem is a fundamental relation inAEuclidean geometryAamong the three sides of aAright triangle.
No books or writings by Pythagoras have survived. He probably taught by speaking to his followers, although in the centuries after his death, several forgeries were discovered. The Pythagorean theorem has fascinated people for nearly 4,000 years; there are now an estimated 367 different proofs.
Being able to find the length of a side, given the lengths of the two other sides makes the Pythagorean Theorem a useful technique for construction and navigation.
.
Follow @talkwidtech to Learn New Amazing Stuff Everyday
.
#invention #science #geek #physics #interesting #technology #civilengineering #worldofengineering #talkwidtech #viralvideos #fact #theory #engineering #chemistry #pythagorea #mathematics #am

Pythagorean Theorem Demonstrated with Fluids
The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
No books or writings by Pythagoras have survived. He probably taught by speaking to his followers, although in the centuries after his death, several forgeries were discovered. The Pythagorean theorem has fascinated people for nearly 4,000 years; there are now an estimated 367 different proofs.
Being able to find the length of a side, given the lengths of the two other sides makes the Pythagorean Theorem a useful technique for construction and navigation.
.
Follow @talkwidtech to Learn New Amazing Stuff Everyday
.
#invention#science#geek#physics#interesting #technology #civilengineering #worldofengineering #talkwidtech #viralvideos #fact #theory #engineering #chemistry #pythagorea #mathematics #amazing

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

We are going to start "Weekly Puzzle" competition! 🤓A random problem will be published once a week. For the right solution you can get a promo code as a gift. Your answers are verified and the winner is determined in Instagram only. Subscribe to our Instagram and let geometry be fun again: 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 #matheverywhere

#XSection is the first step into the world of solid geometry. It teaches you how to perceive 2D representation of #polyhedra, lines, and planes from 3D Euclidean space. All the problems can be solved without complex calculations. The app contains the required theory facts and explanations. If you forgot a definition, you can instantly find it in the app’s glossary.
Main topics:
📐#Prisms, #cubes, #parallelepipeds, and #cuboids
📐#Pyramids and #tetrahedrons
📐#Diagonals of #polyhedrons
📐Cross sections
📐Diagonal sections
📐#Parallel and central projections
📐Method of traces
📐Method of inner projection
XSection follows #Euclidea - #Pythagorea - Pythagorea 60° series of our geometric games. With these apps you can become a real #Geometry Guru!
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🇷🇺 XSection это только первый шаг в мир #стереометрии. Он обучает работе с изображениями многогранников, линий и плоскостей. Все задачи решаются без громоздких вычислений. Приложение содержит все необходимые сведения по теории, а забытые определения можно посмотреть в словарике.
Основные темы:
📐Призмы, параллелепипеды, кубы
📐#Пирамиды и #тетраэдры
📐Диагонали многогранников
📐Сечения
📐Диагональные сечения
📐Параллельное и центральное #проецирование
📐Метод следов
📐Метод внутреннего проецирования
XSection продолжает линейку наших геометрических игр Euclidea - #Пифагория - Пифагория 60°. С этими приложениями вы сможете стать настоящим гуру в геометрии.
#solidgeometry #moremath #geometry #study #crosssection #mathgames #mtbos

Now #Pythagorea supports French and Chinese Simplified.
#iOS: https://itunes.apple.com/app/id994864779
#Android: https://play.google.com/store/apps/details?id=com.hil_hk.pythagorea

Now #Pythagorea 60° supports French, Chinese Simplified, and German.
#iOS: https://itunes.apple.com/app/pythagorea-60/id1043064990
#Android: https://play.google.com/store/apps/details?id=com.hil_hk.pythagorea60
Many thanks to the translators who kindly helped us.

Updated #Pythagorea for #Аndroid with new section "Centroids". Enjoy new levels! https://play.google.com/store/apps/details?id=com.hil_hk.pythagorea

We want to ensure young people create their own image and fend for themselves, as the saying goes.
On the 28th of may 2019, I and the team of ANDRONICUS CHILDREN'S VILLAGE at Cross River State, organised a brainstorming lecture program for students with the main objective of creating an access to an entrepreneurship mindset that will aid sensitivity, skillfulness, and positive conviction in other to aid easy identification of career path.
Thanks to our special guest of honor DR.Amos Obi (United Nations Representative on SDG and principal innovator of HETAVED skills academy and network), Mrs Blessing( Executive director of ACV), MR Jeff Honore, Head of schools, and other SDG champions for coming around.
Also to the schools who were opportuned to participate, TWO ENDS multinational high school, Pythagorea academy and the rest
it was nice seeing all of you learn, relearn and unlearn.
we hope to see you all build a solid bridge that will bring local, regional and global networks .
To the ACV Team at Lagos, crossriver and other extensions...
keep campaigning for the sustainable development goals,
Together we will achieve more
keep doing great!!!!!!
#sustainabledevelopmentgoals#perspire#daretolead#workit#andronicuschildrensvillage #hetavedskillsacademy #Zioncliff #igdaily #iger #picoftheday #2030agenda #un #skills #teamwork #twoendsmultinational #pythagorea

✨
🍄s : Only intelligent 🍄s can see our 🎄
😄😄😄
.
(1) 🍄s are enjoying the 🎄
.
(2) greetings from 🍄s , with a bigger tree
.
(3) Pythagoras tree is a fractal constructed from squares and right-angled triangles. It grows up with each solved problem. Each tree is unique: no other tree has the same form. And after all levels are completed, you will see its blossom (from the game Pythagorea) .
.
(please see our previous ☃️ post too)
.
note : we are busy, may not be able to like back all posts immediately ...
.
.
.
.
( #mushroom#gameCharacter are from #beeworksGames#mushroomGarden app mobileGame mobileApp ) . . . ( #長なめこ #なめこ なめこモドキ 双葉なめこ 菇 #ナメコ #나메코 菇菇 #nameko #fungi #funghi #mushrooms ) . . . ( #photoEdit #photoManipulation #digitalCollage #collageArt ) . . . ( #toyStory #toyStories #toyStorys ) . . . ( #plush #stuffedToy #stuffedAnimals #softToy ) . . .
( #goomba is cut out from Amazon.com Nintendo Mario official products ) . . .
( #pythagoras tree is from the #mathematics #maths game #pythagorea ) . . . #fractal #fractals . . .

#GeometryGames on your phone! Finally, a way to waste time while thinking hard and maybe learning something, instead of... um, doing those other things you should be doing. Brought to us by Horis International Limited, we have #Euclidea and #Pythagorea .
Euclidea has a set of geometric construction challenges, and you get stars for solutions that use only straight or curved lines (L star), or elementary Euclidean constructions (E star), or some combination of both. You also sometimes can get a star if you find all the possible solutions (V for variant star). As you progress, you earn new construction tools (perpendicular bisector, etc) that you can use in later constructions. The tools are fairly intuitive, and the game is forgiving (you can always undo). It's awkward that to get all the stars you sometimes have to back out and then redo the construction using different tools, and I find the emphasis on finding both L and E solutions a bit confusing because I can't tell them apart well enough. But I do like the creativity of having to think about different ways to solve the same problem!
There are different kinds hints, but only one an hour unless you pay a small charge that unlocks all of them. So far I've resisted.
Pythagorea has a different feel, and works with slope, reflections, distance, etc, on a 6x6 grid. There are no stars, just the ability to go to the next problem. I found some of the parallel line problems tiresome (you have to get creative to find a line with a particular slope that goes thru a point that is 2/5 off from an intersection point), but overall like this game better for its accessibility.
With both games I've had moments when I've suddenly figured out the solution while lying in bed trying to go to sleep. I haven't finished either game yet, but I'll keep poking at them. I've also just discovered the sequel, #Pythagorea60 - which is set up on a grid of equiangular triangles. I haven't had a chance to really start it but am looking forward to trying it.
#tpt #mathteachersofinstagram #mathteacher #mathtutor #nctm #geometry #algebra #geometryteacher #algebrateacher

Like geometry puzzles? Try “Pythagorea”, more video on my channel - https://goo.gl/PE2vyo
#dinalt#iphonegames#iosgame#videogames#puzzle #geometry #geometrypuzzle #pythagorea #mobilegames #gameplay #walkthrough

#pythagorea is my new favourite #mobilegame and I honestly hardly ever play any. Funny since I was always a huge #mathematician but never liked geometry that much.

#numerology and #music 5:54=14= 5 the number five represents the physical, five fingers, five toes, and the zodiac leo. NO FUN IF THE HOMIES CANT HAVE NONE. #pythagorea#chaldean#infinite #jupiter #solar #master #metaphysics #5