Image of Point under Negative Scale Factor
Jump to navigation
Jump to search
Theorem
Let $f$ be a central dilatation mapping with center of enlargement $C$.
Let the scale factor of $f$ be negative.
Let the image of a point $P$ be $P'$.
Then $PCP'$ is a straight line such that $C$ is between $P$ and $P'$.
Proof
This theorem requires a proof. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): enlargement (central dilatation, homothety, similitude)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): enlargement (central dilatation, homothety, similitude)