You can construct straight lines and segments only and set points in line intersections. It looks very easy but it is enough to provide an infinite number of interesting problems and unexpected challenges. *** All definitions at your fingertips *** If you forgot a definition, you can instantly find it in the app’s glossary. To find the definition of any term that is used in conditions of a problem, just tap on the Info (“i”) button. *** Is this game for you? *** Euclidea users can take a different view of constructions, discover new methods and tricks, and check their geometric intuition. If you have just started your acquaintance with geometry, the game will help you understand important ideas and properties of the Euclidean geometry. If you passed the course of geometry some time ago, the game will be useful to renew and check your knowledge because it covers most of ideas and notions of the elementary geometry. If you are not on good terms with geometry, Pythagorea will help you to discover another side of the subject. We get a lot of user responses that Pythagorea and Euclidea made it possible to see the beauty and naturalness of geometric constructions and even fall in love with geometry. And do not miss your chance to familiarize children with mathematics. Pythagorea is an excellent way to make friends with geometry and benefit from spending time together. *** Main topics *** > Length, distance, and area > Parallels and perpendiculars > Angles and triangles > Angle and perpendicular bisectors, medians, and altitudes > Pythagorean Theorem > Circles and tangents > Parallelograms, squares, rhombuses, rectangles and trapezoids > Symmetry, reflection, and rotation *** Why Pythagorea *** Pythagoras of Samos was a Greek philosopher and mathematician. He lived in 6th century BC. One of the most famous geometric facts bears his name: the Pythagorean Theorem. It states that in a right triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of those of the two other sides. While playing Pythagorea you often meet right angles and rely on the Pythagorean Theorem to compare lengths of segments and distances between points. That is why the game is named after Pythagoras. *** The tree *** The Pythagoras tree is a fractal constructed from squares and right-angled triangles. Your Pythagoras tree 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. Everything depends on you. Good luck! *** Questions? Comments? *** Send in your inquiries and stay up-to-date on the latest Pythagorea news at https://www.euclidea.xyz/
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