Lukisan Geometri (Tangents)

GEOMETRICAL DRAWINGGEOMETRICAL DRAWING

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

1. Construct a line tangent to given circle at point P.

P

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

2. Construct a line from point Q and tangent to given circle.

Q

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

3. Construct a line tangent to two circles touching externally.

RB - RAR24

R36

A

B

x

Q

P

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

4. Construct a line tangent to two circles touching internally.

RA + RBx

R24

R36

A

B

P

Q

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

5. Construct a circle with the radius 45 mm and tangent to line at point P.

P

O

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

6. Construct a circle with the radius 25 mm and tangent to line AB and BC.

Q

B CP

O

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

7. Construct a circle with the radius 27 mm tangent at point R and touching externally.

R

O

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

8. Construct a circle with the radius 25 mm tangent at point S and touching internally.

SO

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

9. Construct a circle with the radius 27 mm touching externally circle A and circle B.

R25 R14A

B

P Q

O

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

10. Construct a circle with the radius 70 mm touching internally circle A and circle B.

R20

R15

B

A

P

Q

O

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

11. Construct a circle through point R and tangent at S.

S

R

O

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

12. Construct a circle tangent to circle P and line at point Q.

P

Q

x

O

T

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

13. Figure 1 shows a template ABCD. Points A, B, C and D are tangent points. AB and CD are tangent lines. Draw the template in full size.

B

C

y

x

O1

O2

FIGURE 1

R35

J35

R20J20

90

10

AB

C

D

A

D

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

14. Figure 2 shows a template ABCD. Points A, B, C and D are tangent points. AB is a tangent lines. Draw the template in full size.

80

R30R18

FIGURE 2

A

B

C

D

R45

D

C

A

B

x

O1

O2

O3

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

15. Figure 3 shows a template ABCDEF. Points A, B, C, D, E and F are tangent points. Draw the template in full size.

A

FIGURE 3

70

R26

R22

80

R80

A

C

D

E

F

R30

R26

B

B

C

E

F

D

O1

O2

O3

O4

O5

x

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

16. Figure 4 shows a template ABCD. Points B, C, and D are tangent points. AB and AD are tangent lines. Draw the template in full size.

60°

72

Rx

R25

75

FIGURE 4

A

B

C

D

B

A

D

C

O2

x

O1 O

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

17. Figure 5 shows a template ABCDEF. Points B, C, D, and E are tangent points. O is the center of ellipse. EF is a tangent line. Draw the template in full size.

C

B

D

E

F

A

O2

OO1

O

Quadrant of an ellipse

Major axis 120 mm

Minor axis 100 mm

R20

Rx

60

55

70

R85

R25

FIGURE 5

F

A

B

C

D

E

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

18. Figure 6 shows a template. Points B, C, D, E, F and G are tangent points. O is the center of ellipse and EF is tangent line. The new points D and Q are as shown. Draw the template in full size.

QR20

C

BRx

R45

70

A

Quadrant of an ellipseMajor axis` 110 mmMinor axis 80 mm

O

F

R25

G

E

D

R30

Q

D

C

A

G

F

E

O

FIGURE 6

B

O2

O3

O4

O5

O4

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A)

19. Figure 7 shows a template ABCDEFG. Points A, B, C, D and E are tangent points. FG is a quarter ellipse and CD is a tangent line. Draw the template in full size.

FIGURE 7

R25

R70

R30

Rx

R15

55

8065

7565

5

B

C

D

E

F

G

A

Quarter ellipse

90

A

O

O2

O1

G

F

E

D

B

C

x

CHAPTER 1 : GEOMETRY – TANGENTS`

LOCAL PUBLICATIONS (001427383-A)

FIGURE 8

20. Figure 8 shows a template ABCDEFG. C, D, E and G are tangent points. CD is a tangent nline. A is a vertex of the half parabola AB. Draw the template in full size using a geometrical methods.

70

90

R60

30 80

25

R30

70

R25

R20

Rx

Half parabola

A

G

B

C

D

E

F

A

O

1

2

3

4

1

2

3

4

G

B

C

D

E

F

x

O1

y