Exploring External Tangents of Circles
Discover the construction process of external tangents between two circles, starting from identifying the smaller circle's radius to bisecting lines connecting the point to the circle. Learn how to construct a semi-circle with specified diameters and more.
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Tangents Tangents An external tangent of two circles
Draw on the whiteboard what you think an Draw on the whiteboard what you think an EXTERNAL tangent would look like EXTERNAL tangent would look like KEYWORDS KEYWORDS
Take the radius of the smaller circle KEYWORDS: KEYWORDS: External External Radius Radius
Add the smaller radius to the bigger circle = = = = KEYWORDS: KEYWORDS: External External Radius Radius
For external tangents always subtract the small circles radius from the bigger circles radius. This is so you are now constructing a tangent from a point to a circle = = KEYWORDS: KEYWORDS: External External Radius Radius
Now that the smaller circle has been reduced to a point, join that point to the centre of the new circle (same) KEYWORDS: KEYWORDS: External External Radius Radius
Bisect line that joins the point to the circle KEYWORDS: KEYWORDS: External External Radius Radius Bisect Bisect
Bisect line that joins the point to the circle KEYWORDS: KEYWORDS: External External Radius Radius Bisect Bisect
Bisect line that joins the point to the circle KEYWORDS: KEYWORDS: External External Radius Radius Bisect Bisect
Construct a semi-circle with the diameter from the centre of the circle to the point P KEYWORDS: KEYWORDS: External External Radius Radius Bisect Bisect Diameter Diameter
Always construct a triangle in the semi-circle with the diameter as the base and apex where the circle intersects the semi-circle. KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Bisect Bisect Diameter Diameter
Always construct a triangle in the semi-circle with the diameter as the base and apex where the circle intersects the semi-circle. KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Bisect Bisect Diameter Diameter
Transfer the tangent out parallel and extend the normal KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Diameter Diameter
Transfer the tangent out parallel and extend the normal KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter
Find other POC by constructing a line at 90 degrees to the tangent through the centre KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter
POINT OF CONTACT POINT OF CONTACT EXTERNAL TANGENT NORMAL NORMAL KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter
POINT OF CONTACT POINT OF CONTACT EXTERNAL TANGENT NORMAL NORMAL KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter
Lets try a question Let s try a question Example 1: pg 188 Understanding Technical Graphics KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter
Lets try another one Let s try another one Question 1: pg 189 (Soap Dispenser) Understanding Technical Graphics KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter
Lets make definitions for our keywords Let s make definitions for our keywords External External Radius Radius Bisect Bisect Diameter Diameter Base Base Apex Apex Parallel Parallel Point of Contact Point of Contact
