1. Engineering Graphics Lecture Notes
UNIT – 1 “PLANE CURVES”
I - SEMESTER

2. Engineering Graphics Lecture Notes
PLANE CURVES (or) SPECIAL CURVES
ELLIPSE
PARABOLA
HYBERBOLA
CYCLIOD
INVOLUTE OF SQUARE
INVOLUTE OF CIRCLE
I - SEMESTER

3. Engineering Graphics Lecture Notes
PLANE CURVES (or) SPECIAL CURVES
I - SEMESTER

4. Engineering Graphics Lecture Notes
CONIC SECTIONS
CIRCLE
I - SEMESTER

5. Engineering Graphics Lecture Notes
CONIC SECTIONS
ELLISPE
I - SEMESTER

6. Engineering Graphics Lecture Notes
ELLIPSE
TERMINOLOGY OF ELLIPSE:-
The point C Is the centre of the ellipse
Length A-A’ is the Major Axis of the ellipse
Length B-B’ is the Minor Axis of the ellipse
Length CA = CA’ and is called Semi Major Axis of the ellipse
Length CB = CB’ and is called Semi Minor Axis of the ellipse
The point F and F’ is known as Focus of the ellipse
I - SEMESTER

7. Engineering Graphics Lecture Notes
Construction of Ellipse
A. CONCENTRIC CIRCLES METHOD
C. INTERSECTING LINES METHOD
B. INTERSECTING ARCS METHOD
I - SEMESTER

8. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
CD - DIRECTRIX
F - FOCUS
EF = 50 mm C ● F E ● ● ● D
I - SEMESTER

9. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
CD - DIRECTRIX
F - FOCUS
EF = 50 mm
Eccentricity (e) = 3 / 4
EV1 = 40 mm C
VG = 30 mm ● V1 F V2 E ● ● ● ●
45° ● G ● D
I - SEMESTER H ●

10. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS) C ●
V1 & V2 are the vertices of your upcoming ellipse V1 F V2 E ● ● ● ● ● G ● D
I - SEMESTER H ●

11. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS) C
MEASURE THE DISTANCE ● V1 F V2 E ● ● ● ● ● G ● D
I - SEMESTER H ●

12. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
FOR EXAMPLE C
110 mm ● V1 F V2 E ● ● ● ● ● G ● D
I - SEMESTER H ●

13. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
DIVIDE IT BY 10 EQUAL PARTS
ie; 110 / 10 = 11 mm C ● V1 F V2 E ● ● ● ● ● G ● D
I - SEMESTER H ●

14. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS) C
Distance between V1 & 1 = 11 mm ●
Distance between 1 & 2 = 11 mm
Similarly for 3,4,5…. Upto 9 give 11 mm gap V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9 ● G ● D
I - SEMESTER H ●

15. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS) C ●
Make Parallel lines in 1,2,3,4,5,…to 9 V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9 ● G ● D
I - SEMESTER H ●

16. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS) C ● V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9 ● G ● D
I - SEMESTER H ●

17. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS) C ● V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9 ● G ● a ● a ● a ● a ● ● a ● D a ● a ●
I - SEMESTER a ● H a ●

18. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Using Compass,
For “1 - a” as Radius C ●
with “F” as centre
cut the arc in line 1 V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9 ● G ● a ● a ● a ● a ● ● a ● D a ● a ●
I - SEMESTER a ● H a ●

19. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Using Compass,
For “1 - a” as Radius C ●
with “F” as centre
cut the arc in line 1 V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9
Using Compass, ●
For “2 - a” as Radius G ● a ● a ●
with “F” as centre a ● a ● ● a ●
cut the arc in line 2 D a ● a ●
I - SEMESTER a ● H a ●

20. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Similarly ,repeat for all the rest of lines C ● V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9 ● G ● a ● a ● a ● a ● ● a ● D a ● a ●
I - SEMESTER a ● H a ●

21. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Make a smooth curve with arc points C ● V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9 ● G ● a ● a ● a ● a ● ● a ● D a ● a ●
I - SEMESTER a ● H a ●

22. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
This is your required
“ELLIPSE” C ● V1 F V2 E ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 8 9 ● G ● a ● a ● a ● a ● ● a ● D a ● a ●
I - SEMESTER a ● H a ●

23. Engineering Graphics Lecture Notes
CONIC SECTIONS
PARABOLA
I - SEMESTER

24. Engineering Graphics Lecture Notes
PARABOLA
TERMINOLOGY OF PARABOLA:-
The line x-x’ is called Axis of the Parabola
The point F in the axis x-x’ is known as Focus of the Parabola
The line z-z’ is called Directrix of the Parabola
The line L-R through the point F is called Latus Rectum
I - SEMESTER

25. Engineering Graphics Lecture Notes
Construction of Parabola
A. INTERSECTING LINES METHOD
B. INTERSECTING ARCS METHOD
I - SEMESTER

26. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
CD - DIRECTRIX
F - FOCUS
EF = 50 mm C ● F E ● ● ● D
I - SEMESTER

27. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
CD - DIRECTRIX
F - FOCUS
EF = 50 mm
Eccentricity (e) = 1
E -V1 = EF/2 C
V1 -1 = 5 mm ●
1 - 2 = 10 mm V1 F E ● ● ● ● ● ● ● ● ● ● 1 2 ● D
I - SEMESTER

28. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
CD - DIRECTRIX
F - FOCUS
EF = 50 mm
Eccentricity (e) = 1
E -V1 = EF/2 C
V1 -1 = 5 mm ●
1 - 2 = 10 mm
Similarly for the rest give 10 mm gap V1 F E ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 ● D
I - SEMESTER

29. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Make a parallel lines in the points C ● V1 F E ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 ● D
I - SEMESTER

30. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Using Compass,
For “E - 1” as Radius C ●
with “F” as centre
cut the arc in line 1 V1 F E ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7
Using Compass,
For “E - 2” as Radius
with “F” as centre ●
cut the arc in line 2 D
I - SEMESTER

31. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Similarly ,repeat for all the rest of lines C ● V1 F E ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7 ● D
I - SEMESTER

32. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Make a smooth curve with arc points C ● V1 F E ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 6 7
This is your required
“PARABOLA” ● D
I - SEMESTER

33. Engineering Graphics Lecture Notes
CONIC SECTIONS
HYBERBOLA
I - SEMESTER

34. Engineering Graphics Lecture Notes
HYBERBOLA Z ● F X’ X ● ● ● Z’
TERMINOLOGY OF HYBERBOLA:-
The line x-x’ is called Axis of the Hyberbola
The point F in the axis x-x’ is known as Focus of the Hyberbola
The line z-z’ is called Directrix of the Hyberbola
I - SEMESTER

35. Engineering Graphics Lecture Notes
Construction of Hyberbola
I - SEMESTER

36. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
CD - DIRECTRIX
F - FOCUS C ● F E ● ● ● D
I - SEMESTER

37. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
EF = 55 mm
Eccentricity (e) = 1.5
1.5 = 3 / 2
3 / 2 x 11 / 11 = 33 / 22 C ●
E -V1 = 22 mm
V1 -1 = 5 mm
1 - 2 = 10 mm
V1 - G = 33 mm
For the rest of points give 10 mm gap V1 F E ● ● ● ● ● ● ● 1 2 3 4 ● G ● D
I - SEMESTER

38. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Make a parallel lines in the points C ● V1 F E ● ● ● ● ● ● ● 1 2 3 4 ● G ● a ● a ● a ● D ● a
I - SEMESTER

39. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Using Compass,
For “1 - a” as Radius C ●
with “F” as centre
cut the arc in line 1 V1 F E ● ● ● ● ● ● ● 1 2 3 4
Using Compass, ● G ● a
For “2 - a” as Radius ● a
with “F” as centre ● a ●
cut the arc in line 2 D ● a
I - SEMESTER

40. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Similarly ,repeat for all the rest of lines C ● V1 F E ● ● ● ● ● ● ● 1 2 3 4 ● G ● a ● a ● a ● D ● a
I - SEMESTER

41. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Make a smooth curve with arc points C ● V1 F E ● ● ● ● ● ● ● 1 2 3 4 ● G ● a ● a ● a ● D ● a
I - SEMESTER

42. Engineering Graphics Lecture Notes
ECCENTRICITY METHOD
(METHOD AS PER SYLLABUS)
Final curve with HB Pencil C ● V1 F E ● ● ● ● ● ● ● 1 2 3 4 ● G ● a ● a
This is your required
“HYBERBOLA” ● a ● D ● a
I - SEMESTER

43. Engineering Graphics Lecture Notes
CYCLOID
DEFINITION:-
A curve generated by a point on the circumference of a circle which rolls without slipping along a fixed straight line.
I - SEMESTER

44. Engineering Graphics Lecture Notes
Construction of Cycloid
Example Problem:-
construct a cycliod having a generating circle of 50 mm diameter. Also draw tangent and normal at any point on the curve.
I - SEMESTER

45. Engineering Graphics Lecture Notes
Construction of Cycloid
Solution:-
Draw a line AB with the distance equal to the circumference of the circle
Circle Diameter (D) = 50 mm
Circle Radius (R) = 25 mm
Circle Circumference (C) = 2πR
i.e; C = 2 x π x 25 = 157 mm
The Line AB = 157 mm ● ● A B
I - SEMESTER

46. Engineering Graphics Lecture Notes
Construction of Cycloid
Draw a circle with A as centre for the radius of 25mm ● ● A B
I - SEMESTER

47. Engineering Graphics Lecture Notes
Construction of Cycloid
Divide the circle into 12 equal parts 6 5 7 4 8 3 ● ● 9 A B 2 10 1 11 12
I - SEMESTER

48. Engineering Graphics Lecture Notes
Construction of Cycloid
Divide the line AB into 12 equal parts
i.e; 157 / 12 = 13 mm 6 5 7
i.e; a – b = 13 mm, b –c = 13 mm etc… 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 11 12
I - SEMESTER

49. Engineering Graphics Lecture Notes
Construction of Cycloid
Draw the parallel lines in the points a,b,c,d, etc…. 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 11 12
I - SEMESTER

50. Engineering Graphics Lecture Notes
Construction of Cycloid
Draw a horizontal lines through the points 1,2,3 etc…marked on the circumference 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 11 12
I - SEMESTER

51. Engineering Graphics Lecture Notes
Construction of Cycloid 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 ● ● ● ● ● ● ● ● ● ● ● ● 11 12 a b c d e f g h i j k
I - SEMESTER

52. Engineering Graphics Lecture Notes
Construction of Cycloid
Using Compass,
For “a -a” as Radius
cut the arc in point
with ‘a’ as centre 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 ● ● ● ● ● ● ● ● ● ● ● ● 11 12 a b c d e f g h i j k
I - SEMESTER

53. Engineering Graphics Lecture Notes
Construction of Cycloid
Using Compass,
For “b -b” as Radius
cut the arc in point
with ‘b’ as centre 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 ● ● ● ● ● ● ● ● ● ● ● ● 11 12 a b c d e f g h i j k
I - SEMESTER

54. Engineering Graphics Lecture Notes
Construction of Cycloid
Using Compass,
For “c -c” as Radius
cut the arc in point 9 - 3
with ‘c’ as centre 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 ● ● ● ● ● ● ● ● ● ● ● ● 11 12 a b c d e f g h i j k
I - SEMESTER

55. Engineering Graphics Lecture Notes
Construction of Cycloid
Using Compass,
For “d -d” as Radius
cut the arc in point 8 - 4
with ‘d’ as centre 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 ● ● ● ● ● ● ● ● ● ● ● ● 11 12 a b c d e f g h i j k
I - SEMESTER

56. Engineering Graphics Lecture Notes
Construction of Cycloid
Similarly, Repeat for the rest of the radius as “e – e” etc… 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 ● ● ● ● ● ● ● ● ● ● ● ● 11 12 a b c d e f g h i j k
I - SEMESTER

57. Engineering Graphics Lecture Notes
This is your “CYCLIOD”
Make the smooth curve by just touching the arcs in HB Pencil 6 5 7 4 8 3 ● ● ● ● ● ● ● ● ● ● ● ● ● 9 A a b c d e f g h i j k B 2 10 1 ● ● ● ● ● ● ● ● ● ● ● ● 11 12 a b c d e f g h i j k
I - SEMESTER

58. Engineering Graphics Lecture Notes
INVOLUTE
DEFINITION:-
An involute is the locus of a point on a string, as the string unwinds itself from a line or polygon, or a circle, keeping always the string taut.
I - SEMESTER

59. Engineering Graphics Lecture Notes
Construction of Involute
Example Problem:-
Draw an Involute of a circle, whose diameter is 20 mm
I - SEMESTER

60. Engineering Graphics Lecture Notes
Construction of Cycloid
Solution:-
Draw a line AB with the distance equal to the circumference of the circle
Circle Diameter (D) = 20 mm
Circle Radius (R) = 10 mm
Circle Circumference (C) = 2πR
i.e; C = 2 x π x 10 = 62.8 mm
The Line AB = 62.8 mm ● ● A B
I - SEMESTER

61. Engineering Graphics Lecture Notes
Construction of Cycloid
Draw a circle with A as centre for the radius of 10mm ● ● A B
I - SEMESTER

62. Engineering Graphics Lecture Notes
Construction of Cycloid
Divide the circle into 12 equal parts 6 7 5 8 4 ● ● 3 A 9 B 10 2 11 1 12
I - SEMESTER

63. Engineering Graphics Lecture Notes
Construction of Cycloid
Divide the line AB into 12 equal parts 6 7 5 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 9 B 10 2 11 1 12
I - SEMESTER

64. Engineering Graphics Lecture Notes
Construction of Cycloid
Make tangent lines in the point 1,2,3 ….. upto 11 6 7 5 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B 10 2 11 1 12
I - SEMESTER

65. I - SEMESTER 27.09.2012 6 7 5 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 310 11 B 10 2 11 1 12
I - SEMESTER

66. Using Compass, For “A - 1” as Radius with “1” as centre6 ● 7 5 ● ● 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B ● ●
Using Compass, 10 2 ● ● ● 11
For “A - 1” as Radius 1 12
with “1” as centre
cut the arc in line 1
I - SEMESTER

67. Using Compass, For “A - 2” as Radius with “2” as centre6 ● 7 5 ● ● 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B ● ●
Using Compass, 10 2 ● ● ● 11
For “A - 2” as Radius 1 12
with “2” as centre
cut the arc in line 2
I - SEMESTER

68. Using Compass, For “A - 3” as Radius with “3” as centre6 ● 7 5 ● ● 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B ● ●
Using Compass, 10 2 ● ● ● 11
For “A - 3” as Radius 1 12
with “3” as centre
cut the arc in line 3
I - SEMESTER

69. Using Compass, For “A - 4” as Radius with “4” as centre6 ● 7 5 ● ● 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B ● ●
Using Compass, 10 2 ● ● ● 11
For “A - 4” as Radius 1 12
with “4” as centre
cut the arc in line 4
I - SEMESTER

70. Using Compass, For “A - 5” as Radius with “5” as centre6 ● 7 5 ● ● 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B ● ●
Using Compass, 10 2 ● ● ● 11
For “A - 5” as Radius 1 12
with “5” as centre
cut the arc in line 5
I - SEMESTER

71. cut the arc in all the lines as per their length as radius6 ● 7 5 ● ● 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B ● ●
Using Compass, 10 2 ● ● ● 11
cut the arc in all the lines as per their length as radius 1 12
I - SEMESTER

72. Make a smooth curve with arc intersecting points6 ● 7 5 ● ● 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B ● ● 10 2 ● ● ● 11 1
Make a smooth curve with arc intersecting points 12
I - SEMESTER

73. Highlight the curve with HB pencil6 ● 7 5 ● ● 8 4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 3 A 1 2 3 9 4 5 6 7 8 9 10 11 B ● ● 10 2 ● ● ● 11 1
Highlight the curve with HB pencil 12
This is your “INVOLUTE”
I - SEMESTER

74. Engineering Graphics Lecture Notes
Construction of Involute
Example Problem:-
Draw an Involute of a square, whose side is 20 mm
I - SEMESTER

75. Engineering Graphics Lecture Notes
Construction of Cycloid
Solution:-
Draw a line AB with the distance equal to the circumference of the square
Square side (a) = 20 mm
Circumference (C) = 4a
i.e; C = 4 x 20 = 80 mm
The Line AB = 80 mm ● ● A B
I - SEMESTER

76. Engineering Graphics Lecture Notes
Construction of Cycloid
Draw a square with A as starting point for the side length of 20 mm ● ● A B
I - SEMESTER

77. Engineering Graphics Lecture Notes
Construction of Cycloid
Divide the line AB into 4 equal parts ● ● ● ● ● A 1 2 3 B
I - SEMESTER

78. Engineering Graphics Lecture Notes
Construction of Cycloid
Number the corners of the square 3 2 ● ● ● ● ● 1 A 1 2 3 B
I - SEMESTER

79. Engineering Graphics Lecture Notes
Construction of Cycloid
Draw tangent line in each points 3 2 ● ● ● ● ● 1 A 1 2 3 B
I - SEMESTER

80. Engineering Graphics Lecture Notes
Using Compass,
For “A - 1” as Radius
with “1” as centre
cut the arc in line 1 3 2 ● ● ● ● ● 1 A 1 2 3 B
I - SEMESTER

81. Engineering Graphics Lecture Notes
Using Compass,
For “A - 2” as Radius
with “2” as centre
cut the arc in line 2 3 2 ● ● ● ● ● 1 A 1 2 3 B
I - SEMESTER

82. Engineering Graphics Lecture Notes
Using Compass,
For “A - 3” as Radius
with “3” as centre
cut the arc in line 3 3 2 ● ● ● ● ● 1 A 1 2 3 B
I - SEMESTER

83. Engineering Graphics Lecture Notes3 2 ● ● ● ● ● 1 A 1 2` 3 B
Make a smooth curve with arc intersecting points
I - SEMESTER

84. Engineering Graphics Lecture Notes3 2 ● ● ● ● ● 1 A 1 2` 3 B
Highlight the curve with HB pencil
This is your “INVOLUTE”
C.R.ENGINEERING COLLEGE
Alagarkovil, Madurai
I - SEMESTER

85. Engineering Graphics Lecture Notes
THANK YOU
C.R.ENGINEERING COLLEGE
Alagarkovil, Madurai
I - SEMESTER