tangents- definition geometric constructions a line is a tangent to a circle if it touches the...
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Tangents- DefinitionG
eom
etric
Con
stru
ctio
nsG
eom
etric
Con
stru
ctio
ns
A line is a tangent to a circle if it touches
the circle at only one point
Tangents- DefinitionG
eom
etric
Con
stru
ctio
nsG
eom
etric
Con
stru
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ns
Two curves are tangent to each other if the
touch in one and only one place
Geo
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onst
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Geo
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ric C
onst
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Tangents- Geometric location of tangent point
The tangent point of a straight line and circle will lie at the
intersection of a perpendicular to the straight line that passes
through the center of the circle.
Geo
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onst
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Geo
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onst
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Tangents- Geometric location of tangent point
The tangent point of two circles will lie on the circumferences
of both circles and on a straight line connecting the circle
centers
Straight Line Tangents to a Circle from an External point
Geo
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onst
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Geo
met
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onst
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Tangents- Construction
Straight Line Tangents to a Circle from an External point
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
Rr
R-r
R-r
Common Parallel Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’
Geo
met
ric C
onst
ruct
ions
Geo
met
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onst
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Tangents- Construction
Rr
Common Parallel Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
Rr
R+r
R+r
Common Cross Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
Rr
Common Cross Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
R
R
R
R
Circular Tangent of Radius ‘R’ Between a Point to a Straight Line
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
R R
R
R
R
Circular Tangent of Radius R Between Two Straight Lines at an Angle
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
R
R
R
R+r r
R
R R
Internal Circular Tangent of Radius ‘R’ Between a Straight Line and a Circle of Radius ‘r’
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
R
R
R
R-r r
R
R
R
R-r
External Circular Tangent of Radius ‘R’ Between a Straight Line and a Circle of Radius ‘r’
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
R+r1
r2
R+r2
R
r1
R+r1
R+r2
R
Internal Circular Tangent of Radius ‘R’ Between Two Circles of Radius ‘r1’ and ‘r2’
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
R-r1
r2
R-r2 R
r1
R-r1
R-r2
R
External Circular Tangent of Radius ‘R’ Between Two Circles of Radius ‘r1’ and ‘r2’
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
R-r1
r2
R+r2R
r1
R-r1
R+r2
R
Cross Circular Tangent of Radius ‘R’ Between Two Circles of Radius ‘r1’ and ‘r2’
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Tangents- Construction
Basic Sketching Line types
Visible Object – ThickVisible Edges and Outlines
Hidden – ThinHidden detail for like wall
thickness and holes..
Center - Thin centre of a circle, cylindrical
features, or a line of symmetry.
Geo
met
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onst
ruct
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Geo
met
ric C
onst
ruct
ions
1mm3mm
1mm
3mm15-20mm
0.7mmHB
0.3mm2H
0.3mm2H
Line Types An Example:
1. Visible
2. Hidden
3. Center
Geo
met
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onst
ruct
ions
Geo
met
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onst
ruct
ions
Intersection of Lines
Solid Line Intersections
Dashed Line Intersections
GapGeo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
ions
Hidden Line ConventionsG
eom
etric
Con
stru
ctio
nsG
eom
etric
Con
stru
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Hidden Line ConventionsG
eom
etric
Con
stru
ctio
nsG
eom
etric
Con
stru
ctio
ns
Centerline Conventions
Extend 5mm
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
ruct
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Geo
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ric C
onst
ruct
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Geo
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Lettering : Basic Strokes
Straight Slanted CurvedHorizontal
1 1 2
3
“I” letter “A” letter
1
2
3
4 5
6
“B” letter
Examples:
Geo
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Geo
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Lettering : Upper Case & Numerals
Geo
met
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onst
ruct
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Geo
met
ric C
onst
ruct
ions Gothic vertical style.
Always use capital letters.
Text height 3~5 mm.
Space between lines of text is about of text height.
Lettering : Rules
Space between words equal to the space required for
writing a letter “O”.
Example:
ALL DIMENSIONS ARE INMILLIMETERS
O O OO UNLESS
OTHERWISE SPECIFIED.O
85
R100
R85
85
R100
R85
R70
R70
R70
R70
Tangents- CW 1G
eom
etric
Con
stru
ctio
nsG
eom
etric
Con
stru
ctio
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30200
140
80
R=44
R=18
R=16+19=35
R=16
R=8
R=22-5=17R=22
+5=2
7
R=19
R=18+22=40
R=44+22=66
R=19
R=19
Geo
met
ric C
onst
ruct
ions
Geo
met
ric C
onst
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