Method Three: Horizontal Sections (Leaving Cert DCG): Flashcards

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Method Three: Horizontal Sections
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Horizontal sections method purpose

Finding where solids intersect, especially curved shapes

3 shapes best suited for horizontal sections

Spheres, cones, and cylinders

Why horizontal sections work with these shapes

They produce circular cross-sections when cut horizontally

Key principle of horizontal sections method

Converts 3D intersection into 2D circle intersection problems

Step 1 of horizontal sections procedure

Draw the plan and elevation views of both solids

How to position horizontal cutting planes

Space at equal intervals on both sides of centre line

Typical number of horizontal sections needed

4-6 sections on each side

Where to find intersection points (which view)

In plan view where circular sections cross

Step 4: How to transfer points to elevation

Project vertically to corresponding section line

Effect of using more horizontal sections

Smoother and more accurate final curve

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