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Inscribed Square
Where there is matter, there is geometry. — Johannes Kepler Let O be the center of the circle and A the vertex. -
2.2 Intersection of Angle Bisectors
Have the courage to use your own reason. — Immanuel Kant Given the triangle ABC. -
3.2 Triangle by Angle and Orthocenter
Instruction: Construct a segment connecting the sides of the angle to get a triangle whose orthocenter is in the point O. Goal: 3L 6E -
2.7 Erect a Perpendicular
Instruction: Erect a perpendicular from the point on the line. Goal: 1L 3E -
2.8 Tangent to Circle at Point
Instruction: Construct a tangent to the circle at the given point. Goal: 2L 3E -
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Euclidea Wiki
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Circle Center
Nature is an infinite sphere of which the center is everywhere and the circumference nowhere. — Blaise Pascal Point at A. -
2.4 Double Angle
Contradiction is not a sign of falsity, nor the lack of contradiction a sign of truth. — Blaise Pascal Let O be the vertex of the angle. -
Rhombus in Rectangle
Without mathematics there is no art. — Luca Pacioli Given the rectangle ABCD with ABAD. -
8.4 Regular Octagon
Instruction: Construct a regular octagon with the given side. Goal: 9L 13E 2V -
2.1 Angle Bisector
The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn. — Isaac Newton Let A be -
2.3 Angle of 30°
Inspiration is needed in geometry, just as much as in poetry. — Alexander Pushkin Let A be the initial point of the given ray. -
5.10 Circle Tangent to Square Side
Instruction: Construct a circle that is tangent to a side of the square and goes through the vertices of the opposite side. Goal: 3L 6E -
7.11 Excircle
Instruction: Construct the excircle of the triangle formed by the three given lines. Goal: 4L 8E -
4.10 Square by Adjacent Midpoints
Instruction: Construct a square, given two midpoints of adjacent sides. Goal: 7L 10E -
3.7 Angle of 45°
Instruction: Construct an angle of 45° with the given side. Goal: 2L 5E -
7.8 Circle Tangent to Three Lines
Instruction: Construct a circle that is tangent to the three given lines. Two of the lines are parallel. Goal: 4L 6E -
4.9 Square by Opposite Midpoints
Instruction: Construct a square, given two midpoints of opposite sides. Goal: 6L 10E -
10.2 Outer Tangent
Instruction: Construct an outer tangent between two circles. Goal: 6L 8E 2V -
6.11 Parallelogram by Three Midpoints
Instruction: Construct a parallelogram given three of the midpoints. Goal: 7L 10E -
3.8 Lozenge
Instruction: Construct a rhombus with the given side and an angle of 45° in a vertex. Goal: 5L 7E -
4.2 Angle of 60° - 2
Instruction: Construct a straight line through the given point that makes an angle of 60° with the given line. Goal: 3L 4E -
3.6 Midpoints of Trapezoid Bases
Instruction: Construct a line passing through the midpoints of the trapezoid bases. Goal: 3L 5E
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