Pythagorea 60°

Check how well you know the geometry by solving construction problems on a triangular grid.

> 277 tasks: from very simple to really hard

> 24 subjects to explore

> 66 geometric terms in a glossary

> Easy to use

*** About ***

Pythagorea 60° is a collection of more than 270 geometric problems of different kind that can be solved without complex constructions or calculations. All objects are drawn on a grid whose cells are equilateral triangles. A lot of levels can be solved using just your geometric intuition or by finding natural laws, regularity, and symmetry.

*** Just play ***

There are no sophisticated instruments and moves are not counted. 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.

*** Is this game for you? ***

Euclidea users can take a different view of constructions, discover new methods and tricks, and check their geometric intuition.

Pythagorea users who played on a square grid will not be bored. The triangular grid is full of surprises.

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 60° 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.

*** 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.

*** 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, trapezoids, and rhombuses

> 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.

*** Questions? Comments? ***

Send in your inquiries and stay up-to-date on the latest Pythagorea 60° news at http://www.euclidea.xyz/

通过解决三角形网格上的构造问题，检查您对几何的了解程度。

> 277个任务：从非常简单到非常困难

> 24门学科探索

词汇表中的> 66个几何术语

>易于使用

*** 关于 ***

毕达哥拉斯（Pythagorea）60°收集了270多种不同类型的几何问题，无需复杂的结构或计算即可解决。所有对象均绘制在其单元格为等边三角形的网格上。仅凭您的几何直觉或找到自然定律，规律性和对称性，就可以解决很多层次。

*** 只是玩 ***

没有精密的仪器，也不算移动。您只能构造直线和线段，并在直线相交处设置点。它看起来很简单，但是足以提供无数有趣的问题和意外的挑战。

***这个游戏适合你吗？ ***

欧几里得用户可以从不同的角度看待结构，发现新的方法和技巧，并检查其几何直觉。

在方形网格上玩的毕达哥拉斯用户不会感到无聊。三角形的网格充满了惊喜。

如果您刚开始接触几何，该游戏将帮助您了解欧几里得几何的重要思想和特性。

如果您在一段时间之前通过了几何学课程，那么该游戏将对您更新和检查您的知识很有用，因为它涵盖了基本几何学的大部分思想和观念。

如果您对几何学不太满意，毕达哥拉斯60°可以帮助您发现物体的另一面。我们得到了很多用户的反馈，即毕达哥利亚和欧几里得使看到几何构造的美丽和自然甚至迷上了几何成为可能。

也不要错过让孩子熟悉数学的机会。 Pythagorea是结交几何朋友并从一起度过时中受益的绝佳方法。

***所有定义唾手可得***

如果您忘记了定义，则可以在应用程序的词汇表中立即找到它。要查找在问题情况下使用的任何术语的定义，只需点击信息（“ i”）按钮。

*** 主要议题 ***

>长度，距离和面积

>平行线和垂直线

>角度和三角形

>角和垂直平分线，中位数和高度

勾股定理

>圆和切线

>平行四边形，梯形和菱形

>对称，反射和旋转

***为什么毕达哥拉斯***

萨摩斯岛毕达哥拉斯是希腊哲学家和数学家。他住在公元前6世纪。最著名的几何事实之一就是他的名字：毕达哥拉斯定理。它指出，在直角三角形中，斜边的长度的平方（与直角相对的一侧）等于其他两侧的平方之和。玩毕达哥拉斯时，您经常会遇到直角并依靠勾股定理来比较线段的长度和点之间的距离。这就是游戏以毕达哥拉斯命名的原因。

***有问题吗？评论？ ***

发送您的询问，并在http://www.euclidea.xyz/上了解最新的毕达哥里亚60°新闻。