Applied Geometry 2

1. Applied Geometry 2

2. Sharp corner FILLET AND ROUND Round Fillet Round

3. FILLET AND ROUND To draw the arc, we must find the location of the center of that arc. How do we find the center of the arc?

4. r r To draw an arc of given radius tangent to two perpendicular lines Given arc radius r

5. To draw an arc of given radius tangent to two perpendicular lines Given arc radius r center of the arc Starting point Ending point

6. r r To draw an arc of given radius tangent to two lines Given arc radius r + +

7. T.P.1 T.P.2 To draw an arc of given radius tangent to two lines Given arc radius r

8. C To draw a line tangent to a circle at a point on the circle Given

9. C To draw a line tangent to a circle from a point outside the circle Given mark a tangent point

10. When circle tangent to other circle Tangent point R1 C1 R2 C2 R1 + R2 The center of two circles and tangent point lie on the same straight line !!!

11. C + + + C2 C1 Example To draw a circle tangent to two circles I Given

12. To draw a circle tangent to two circles I Given Two circles and the radius of the third circle = R + + C2 C1

13. center of the arc R + R2 R + R1 C R R2 R1 To draw a circle tangent to two circles I Given Two circles and the radius of the third circle = R + + C2 C1 Repeat

14. When circle tangent to other circle Tangent point R1 R2 C1 C2 R2  R1 The center of two circles and tangent point must lie on the same straight line !!!

15. + + C2 C1 + C Example To draw a circle tangent to two circles II Given

16. To draw a circle tangent to two circles II Given Two circles and the radius of the third circle = R + + C2 C1

17. R R2 R1 C R – R2 R – R1 To draw a circle tangent to two circles II Given Two circles and the radius of the third circle = R + + C2 C1 Repeat

18. R2 R1 C2 + C1 + R – R1 C R + R2 To draw a circle tangent to two circles III Given Two circles and the radius of the third circle = R

19. Thank you