Mechanical Drawing Lesson 5 Geometric Construction Created By Kristi Mixon.

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Presentation transcript:

Mechanical Drawing Lesson 5 Geometric Construction Created By Kristi Mixon

Geometric Construction Bisecting a line Bisecting an angle Drawing a circle through 3 random points Drawing a circle through 3 random points

Bisecting a Line A B Step 1: Place your compass point at Point A and draw and arc.

Bisecting a line A B Step 2: Place your compass at Point B, and draw another arc. You should now have two arcs that intersect at two points: C & D C D

Bisecting a line A B C D Step 3: Draw a straight line connecting Points C & D. This line will divide line AB exactly in half Next

Bisecting an angle A B C Step 1: Place your compass at point b, the vertex of angle ABC, and draw an arc that intersects line AB and line BC.

Bisecting an angle A B C Step 2: Place your compass needle at point D, and draw another arc. D

Bisecting an angle A B C D E Step 3: Place your compass needle at point E, and draw another arc, which will interest the other arc drawn in step 2.

A B C D E Bisecting an angle Step 4: Draw a straight line connecting point B and point F. This line will divide angle ABC exactly in half. F Next

Draw a circle from 3 random points Step 1: Select 3 points in space that do not form a straight line. Label them point A, B, and C. A B C

Drawing a circle from 3 random points Step 2: Connect the 3 points forming 2 line segments, AB and BC. A B C

Drawing a circle from 3 random points Step 3: Bisect each line segment. Draw each line bisector so they cross each other. We will label the intersection of the bisectors point O A B C O

Drawing a Circle From 3 Random Points Step 4: Using your compass, place the needle at point O and the lead at one of the other points. As you draw the circle, your compass should pass through each point. B A C O Needle point Compass Lead Next