lukisan geometri (tangents)
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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