To determine which element or principle is not present in "Regatta on the Grand Canal in Honor of Frederick IV, King of Denmark" by Luca Carlevarijis, we can analyze the options provided:
- Perspective - This element is likely present, as many paintings of canals include depth and a sense of three-dimensional space.
- Movement - The depiction of boats and people often conveys a sense of action and dynamism, suggesting that movement is also present.
- Variety - In an image of a regatta with various boats, people, and activities, variety in colors, shapes, and forms is typically apparent.
- Symmetrical Balance - Symmetrical balance may not necessarily be a feature in this particular composition, as scenes of regattas can often be asymmetrical, focusing on the activity and movement rather than on a balanced arrangement.
Based on this analysis, the most likely answer is symmetrical balance as the element that is not present in the image.