projections of planes : lect 01

Unit No:04Projections of Planes

Yash B. ParikhM.Tech. (CIM)

Assistant ProfessorDepartment of Mechanical Engineering

Symbiosis Institute of Technology

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What is a Plane?

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What is a Plane?

In mathematics. a plane is a flat, two-dimensional surface.

It can also defined as an abstract surface which has infinite width and length, zero thickness, and zero curvature.

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Introduction

A Plane is a two dimensional entity having only length and breadth with negligible thickness (which is considered as zero).

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Shapes of Planes

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Types of Planes

Planes may be divided as two main types. They are :

(I) Perpendicular Planes

(II) Oblique Planes.

(I) Perpendicular Planes :

Planes which are perpendicular to any one of the principal planes of projection are called as perpendicular planes.

These planes may be inclined or parallel to the other principal plane.

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Types of Planes

(II) Oblique Plane :

Here Planes are inclined to both the reference planes.

Projections of such planes are drawn in three stages.

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Various Positions of Perpendicular Planes

(a) Plane is Perpendicular to V.P. & Parallel to H.P.

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Various Positions of Perpendicular Planes

(b) Plane is Perpendicular to H.P. & Parallel to V.P.

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Various Positions of Perpendicular Planes

(c) Plane is Perpendicular to both H.P. & V.P.

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Various Positions of Perpendicular Planes

(d) Plane is inclined to H.P. & Perpendicular to V.P.

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Various Positions of Perpendicular Planes

(e) Plane is inclined to V.P. & Perpendicular to H.P.

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Thank You