61236462 engineering drawing chapter1 tangents
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GEOMETRICAL DRAWING
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CHAPTER 1 : GEOMETRY – TANGENTS
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1. Construct a line tangent to given circle at oint P.
P
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CHAPTER 1 : GEOMETRY – TANGENTS
LOCAL PUBLICATIONS (001427383-A
!. Construct a line "ro# oint $ an% tangent to given circle.
Q
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CHAPTER 1 : GEOMETRY – TANGENTS
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&. Construct a line tangent to t'o circles touc(ing e)ternall*.
RB - RA
R 2 4
R 3 6
A
B
)
$
P
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CHAPTER 1 : GEOMETRY – TANGENTS
LOCAL PUBLICATIONS (001427383-A
+. Construct a line tangent to t'o circles touc(ing internall*.
RA + RB)
R 2 4
R 3 6
A
B
P
$
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CHAPTER 1 : GEOMETRY – TANGENTS
LOCAL PUBLICATIONS (001427383-A
,. Construct a circle 'it( t(e ra%ius +, ## an% tangent to line at oint P.
P
O
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CHAPTER 1 : GEOMETRY – TANGENTS
LOCAL PUBLICATIONS (001427383-A
-. Construct a circle 'it( t(e ra%ius !, ## an% tangent to line A an% C.
$
CP
O
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CHAPTER 1 : GEOMETRY – TANGENTS
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/. Construct a circle 'it( t(e ra%ius !/ ## tangent at oint R an% touc(ing e)ternall*.
R
O
CHAPTER 1 GEOMETRY TANGENTS
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CHAPTER 1 : GEOMETRY – TANGENTS
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0. Construct a circle 'it( t(e ra%ius !, ## tangent at oint S an% touc(ing internall*.
SO
CHAPTER 1 GEOMETRY TANGENTS
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CHAPTER 1 : GEOMETRY – TANGENTS
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. Construct a circle 'it( t(e ra%ius !/ ## touc(ing e)ternall* circle A an% circle .
R 2 5 R 1 4 A
B
P $
O
CHAPTER 1 GEOMETRY TANGENTS
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CHAPTER 1 : GEOMETRY – TANGENTS
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12. Construct a circle 'it( t(e ra%ius /2 ## touc(ing internall* circle A an% circle .
R 2 0
R 1 5
B
A
P
$
O
CHAPTER 1 : GEOMETRY TANGENTS
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CHAPTER 1 : GEOMETRY – TANGENTS
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11. Construct a circle t(roug( oint R an% tangent at S.
S
R
O
CHAPTER 1 : GEOMETRY TANGENTS
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CHAPTER 1 : GEOMETRY – TANGENTS
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1!. Construct a circle tangent to circle P an% line at oint $.
P
Q
)
O
T
CHAPTER 1 : GEOMETRY TANGENTS
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CHAPTER 1 : GEOMETRY – TANGENTS
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1&. 3igure 1 s(o's a te#late AC4. Points A5 5 C an% 4 are tangent oints. A an% C4 are tangent lines. 4ra'
t(e te#late in "ull si6e.
C
*
)
O1
O!
FIGURE 1
R 3 5
J 3 5
R 2 0
J 2 0
90
1 0
AB
C
D
A
4
CHAPTER 1 : GEOMETRY – TANGENTS
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CHAPTER 1 : GEOMETRY – TANGENTS
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1+. 3igure ! s(o's a te#late AC4. Points A5 5 C an% 4 are tangent oints. A is a tangent lines. 4ra' t(e
te#late in "ull si6e.
80
R 3 0
R 1 8
FIGURE 2
A
C
4
R 4 5
4
C
A
)
O1
O!
O&
CHAPTER 1 : GEOMETRY – TANGENTS
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CHAPTER 1 : GEOMETRY – TANGENTS
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1,. 3igure & s(o's a te#late AC4E3. Points A5 5 C5 45 E an% 3 are tangent oints. 4ra' t(e te#late in "ull
si6e.
A
FIGURE 3
7 0
R26
R 2 2
80
R 8
0 A
C
4
E
3
R 3 0
R 2 6
C
E
3
4
O1
O!
O&
O+
O,
)
CHAPTER 1 : GEOMETRY – TANGENTS
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CHAPTER 1 : GEOMETRY TANGENTS
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1-. 3igure + s(o's a te#late AC4. Points 5 C5 an% 4 are tangent oints. A an% A4 are tangent lines. 4ra'
t(e te#late in "ull si6e.
6 0 °
72
R x
R 2 5
7 5
FIGURE 4
A
B
C
D
B
A
D
C
O2
x
O1 O
CHAPTER 1 : GEOMETRY – TANGENTS
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CHAPTER 1 : GEOMETRY TANGENTS
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1/. 3igure , s(o's a te#late AC4E3. Points 5 C5 45 an% E are tangent oints. O is t(e center o" ellise. E3 is a
tangent line. 4ra' t(e te#late in "ull si6e.
C
B
D
E
F
A
O2
OO1
O
Quada!" #$ a! %&&'()%
*a# ax') 120 ,,
*'!# ax') 100 ,,
R 2 0
R x
6 0
5 5
70
R 8 5
R 2 5
FIGURE 5
F
A
B
C
D
E
CHAPTER 1 : GEOMETRY – TANGENTS
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CHAPTER 1 : GEOMETRY TANGENTS
LOCAL PUBLICATIONS (001427383-A
10. 3igure - s(o's a te#late. Points 5 C5 45 E5 3 an% G are tangent oints. O is t(e center o" ellise an% E3 is
tangent line. T(e ne' oints 4 an% $ are as s(o'n. 4ra' t(e te#late in "ull si6e.
Q R 2 0
C
BR x
R 4 5 7 0
A
Quada!" #$ a! %&&'()%*a# ax')- 110 ,,
*'!# ax') 80 ,,
O
F
R 2 5
G
E
D
R 3 0
Q
D
C
A
G
3
E
O
FIGURE 6
O!O&
O+
O,
O +
CHAPTER 1 : GEOMETRY – TANGENTS
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LOCAL PUBLICATIONS (001427383-A
1. 3igure / s(o's a te#late AC4E3G. Points A5 5 C5 4 an% E are tangent oints. 3G is a 7uarter ellise an%
C4 is a tangent line. 4ra' t(e te#late in "ull si6e.
FIGURE 7
R 2 5
R 7 0
R 3 0
R x
R 1 5
55
8065
7 5
6 5
5
B
C
D
E
F
G
A
Qua"% %&&'()%
90
A
O
O2
O1
G
F
E
D
B
C
x
CHAPTER 1 : GEOMETRY – TANGENTS8
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FIGURE 8
!2. 3igure 0 s(o's a te#late AC4E3G. C5 45 E
an% G are tangent oints. C4 is a tangent
nline. A is a verte) o" t(e (al" ara9ola A.
4ra' t(e te#late in "ull si6e using a
geo#etrical #et(o%s.
7 0
90
R 6 0
30 80
2
5
R 3 0
7 0
R 2 5
R 2 0
R x
.a&$ (aa/#&a
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