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enlargement

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enlargement

Mathematical transformation that changes the size of a shape by multiplying all its proportions by the same scale factor. An enlargement may be either smaller or larger.

For example:

A'B'C'D' is an enlargement of ABCD. The scale factor of the enlargement is 2, because all the lengths of the shape have been doubled and the distances of points A', B', C', and D' from the centre of enlargement have also been doubled.

A scale factor greater than 1 will give a new shape that is larger than the original and a scale factor less than 1 will give a new shape that is smaller than the original, but they are both called enlargements.

To find the centre of enlargement, the corresponding points of the enlargement and the original shape should be joined, and the lines extended until they all meet. For example:

The centre of enlargement is at O and the scale factor is 3.



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? Mentioned in ? References in classic literature
 
IN PARTICULAR This Work Is Dedicated By A Humble Native Of Flatland In the Hope that Even as he was Initiated into the Mysteries OF THREE DIMENSIONS Having been previously conversant With ONLY TWO So the Citizens of that Celestial Region May aspire yet higher and higher To the Secrets of FOUR FIVE or EVEN SIX Dimensions Thereby contributing To the Enlargement of THE IMAGINATION And the possible Development Of that most and excellent GIFT of MODESTY Among the Superior Races Of SOLID HUMANITY
Flatland by Abbott, Edwin View in context
To strengthen, perpetuate, and extend this interest was the object for which the insurgents would rend the Union, even by war; while the government claimed no right to do more than to restrict the territorial enlargement of it.
Abraham Lincoln's First Inaugural Address by Lincoln, Abraham View in context
The two gentlemen arrived the next day to a very late dinner, affording a pleasant enlargement of the party, and a very welcome variety to their conversation, which a long morning of the same continued rain had reduced very low.
Sense and Sensibility by Austen, Jane View in context
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