Tangent Planes to Solids (Leaving Cert DCG): Flashcards

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Tangent Planes to Solids
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Tangent plane definition

Flat surface touching solid at exactly one point, not cutting through

Tangent plane to sphere & radius

Perpendicular to radius at tangency point

Horizontal trace of tangent plane to cone

Tangential to the base circle of the cone

Traces definition

Lines where plane meets horizontal & vertical reference planes

Types of traces

Horizontal and vertical

Generatrix lines

Lines from cone apex through surface to base

Horizontal trace & cone base

Tangential to base circles of cones

Solutions for cone + sphere tangent plane

Four possible solutions

Key principle: tangent planes & solids

Touch at one point only, never cut through

Purpose of auxiliary views

Show true relationships between planes and solids

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