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A Text Book on Engineering Graphics - Central Board of Secondary ...

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ISOMETRIC PROJECTION<br />

1.3.5 SPHERES AND HEMISPHERES<br />

Example 26 :<br />

Soluti<strong>on</strong> :<br />

Spheres are the solids without any edge or vertex. When they are visualized from any<br />

directi<strong>on</strong> they look like a circle. Due to this unique characteristic <strong>of</strong> sphere, they have<br />

<strong>on</strong>ly <strong>on</strong>e point <strong>of</strong> c<strong>on</strong>tact with the plane <strong>of</strong> rest. This point <strong>of</strong> c<strong>on</strong>tact will not be visible in<br />

isometric projecti<strong>on</strong> <strong>of</strong> sphere.<br />

Let us draw some examples.<br />

Draw the isometric projecti<strong>on</strong> <strong>of</strong> a sphere <strong>of</strong> diameter 50 mm.<br />

Refer Fig. 1.26<br />

Steps (i) Draw isometric projecti<strong>on</strong> <strong>of</strong> square in horiz<strong>on</strong>tal plane with side <strong>of</strong> iso 50 mm<br />

length.<br />

(ii) Draw the center lines <strong>of</strong> this square.<br />

(iii) Take a point O in vertically upward directi<strong>on</strong> equal to iso 25 mm i.e. Isometric<br />

length <strong>of</strong> radius <strong>of</strong> spheres from the center <strong>of</strong> the square drawn in step 2.<br />

(iv) Taking this point O as a center and true 25 mm as the radius, draw a circle.<br />

(v) This drawn circle is the isometric projecti<strong>on</strong> <strong>of</strong> the given sphere.<br />

o<br />

30<br />

Note: Isometric view <strong>of</strong> a sphere is always a circle <strong>of</strong> true-radius whose centre is<br />

obtained with isometric radius height.<br />

ENGINEERING GRAPHICS<br />

o<br />

30<br />

Fig 1.26<br />

r = ISO 25<br />

o<br />

30<br />

O<br />

R=TRUE 25<br />

o<br />

30<br />

ISOMETRIC PROJECTION<br />

F<br />

23

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