Geometrical Constructions 1.
Year 2011/12
1st (fall) semester
1ST DRAWING
Tint-drawing, size A2
Deadline for delivery: Oct. 4.
Title of a figure is in parenthesis.
1)
Bisect a line-segment. (BISECTOR OF A SEGMENT)
2)
Erect a perpendicular to a straight line from a point not lying on the line. (PERPENDICULAR)
3)
Bisect a given angle. (ANGLE BISECTOR)
4)
Construct the angles of 67.5° and 105°. (ANGLES 67.5° AND 105° )
5)
Construct the circumscribed circle of a general obtuse triangle. (CIRCUMSCRIBED CIRCLE)
6)
Construct the inscribed circle of a general acute triangle. (INSCRIBED CIRCLE)
7)
Construct the tangents to a circle from an external point. (TANGENTS OF CIRCLE)
8)
Divide a segment into three parts at the ratio of 1:2:5. (DIVISION OF A SEGMENT)
9)
Construct triangle, the lengths of a side, a median and height assigned to the given side are given.
(CONSTRUCTION OF TRIANGLE)
10)
Construct quadrilateral, the length of a pair of adjacent sides and their angle, another angle and the
angle of diagonals are given. (CONSTRUCTION OF QUADRILATERAL)
11)
Construct trapezium, given one of the two bases, the two angles lying on it and the height are given.
(TRAPEZIUM)
12)
Construct a kite, the length of two different sides and the angle of them are given. (CONSTRUCTION
OF KITE)
13)
Fill a box with text (minimum 500 characters) of the size of 7 mm (height of capital letters). Let the
topic of text be Architecture. The area of the text is the lower part of the drawing paper (inside of the
frame) with the height of 10 cm, except the title table.
Sept. 12, 2011, Budapest
dr. Pál Ledneczki
associate professor
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