1) Construct an equilateral triangle inscribed in a circle

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Date:
Constructions
1) Construct an equilateral triangle inscribed in a circle
To construct an equilateral triangle inscribed in a circle, do the following:
1. Draw a circle with center 0, as shown in the following. Do not change the setting
on the compass.
A
2. Mark point A on the circle.
3. Place the needle of the compass on A and mark point B where the pencil point of
the compass intersects the circle.
4. Place the needle of the compass on B and mark point C, using the same proce
dure as in step 3.
5. Continue this process to mark three more points: D, E, and F, using the same
procedure. These six points divide the circle into six congruent arcs: AB, BC, CD,
DE, EF, and FA.
6. Use a straightedge to draw AC, EC, and AE.
Transcribed Image Text:Name: Date: Constructions 1) Construct an equilateral triangle inscribed in a circle To construct an equilateral triangle inscribed in a circle, do the following: 1. Draw a circle with center 0, as shown in the following. Do not change the setting on the compass. A 2. Mark point A on the circle. 3. Place the needle of the compass on A and mark point B where the pencil point of the compass intersects the circle. 4. Place the needle of the compass on B and mark point C, using the same proce dure as in step 3. 5. Continue this process to mark three more points: D, E, and F, using the same procedure. These six points divide the circle into six congruent arcs: AB, BC, CD, DE, EF, and FA. 6. Use a straightedge to draw AC, EC, and AE.
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