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Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

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Tangents- Definition Geometric Constructions Two curves are tangent to each other if the touch in one and only one place

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Geometric Constructions 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.

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Geometric Constructions 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

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Straight Line Tangents to a Circle from an External point Geometric Constructions Tangents- Construction

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Straight Line Tangents to a Circle from an External point Geometric Constructions Tangents- Construction

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R r R-r Common Parallel Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’ Geometric Constructions Tangents- Construction

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R r Common Parallel Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’ Geometric Constructions Tangents- Construction

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R r R+r Common Cross Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’ Geometric Constructions Tangents- Construction

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R r Common Cross Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’ Geometric Constructions Tangents- Construction

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R R R R Circular Tangent of Radius ‘R’ Between a Point to a Straight Line Geometric Constructions Tangents- Construction

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RR R R R Circular Tangent of Radius R Between Two Straight Lines at an Angle Geometric Constructions Tangents- Construction

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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’ Geometric Constructions Tangents- Construction

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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’ Geometric Constructions Tangents- Construction

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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’ Geometric Constructions Tangents- Construction

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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’ Geometric Constructions Tangents- Construction

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R-r1 r2 R+r2 R r1 R-r1 R+r2 R Cross Circular Tangent of Radius ‘R’ Between Two Circles of Radius ‘r1’ and ‘r2’ Geometric Constructions Tangents- Construction

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Basic Sketching Line types Visible Object – Thick Visible Edges and Outlines Hidden – Thin Hidden detail for like wall thickness and holes.. Center - Thin centre of a circle, cylindrical features, or a line of symmetry. Geometric Constructions 1mm 3mm 1mm 3mm 15-20mm 0.7mm HB 0.3mm 2H 0.3mm 2H

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Line Types An Example: 1. Visible 2. Hidden 3. Center Geometric Constructions

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Intersection of Lines Solid Line Intersections Dashed Line Intersections Gap Geometric Constructions

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Hidden Line Conventions Geometric Constructions

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Hidden Line Conventions Geometric Constructions

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Centerline Conventions Extend 5mm Geometric Constructions

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Lettering : Basic Strokes StraightSlantedCurvedHorizontal 1 1 2 3 “I” letter “A” letter 1 2 3 45 6 “B” letter Examples:

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Geometric Constructions Lettering : Upper Case & Numerals

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Geometric Constructions 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: ALLDIMENSIONS ARE IN MILLIMETERS O O O O UNLESS OTHERWISE SPECIFIED. O

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85 R100 R85 85 R100 R85 R70 Tangents- CW 1 Geometric Constructions

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30 200 140 80

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R=44 R=18 R=16+19=35 R=16 R=8 R=22-5=17 R=22+5=27 R=19 R=18+22=40 R=44+22=66 R=19

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Geometric Constructions

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