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Geometric similarity requires that the ratios of corresponding linear dimensions between the model and prototype are equal. For the two rectangular-box examples shown, the condition is expressed as $\frac{B}{b} = \frac{H}{h} = \frac{W}{w}$.

Conditions: The compared objects must have corresponding linear dimensions.; Each ratio pairs a prototype length with the matching model length.; Applies to corresponding linear dimensions of two objects or domains.

Geometric similarity requires that the ratios of corresponding linear dimensions between the model and prototype are equal. For the two rectangular-box examples shown, the condition is expressed as $\frac{B}{b} = \frac{H}{h} = \frac{W}{w}$.

Conditions: The compared objects must have corresponding linear dimensions.; Each ratio pairs a prototype length with the matching model length.; Applies to corresponding linear dimensions of two objects or domains.

A scaled-down model is used because direct full-scale testing is impractical or too costly. The speaker gives an example of an airplane company wanting to study a large-scale wing.

Conditions: Full-scale testing is impractical or too costly; A smaller representative model can be tested experimentally; Information from the model must be mapped back to the real case

A scaled-down model is used because direct full-scale testing is impractical or too costly. The speaker gives an example of an airplane company wanting to study a large-scale wing.

Conditions: Full-scale testing is impractical or too costly; A smaller representative model can be tested experimentally; Information from the model must be mapped back to the real case