In mathematics and engineering, 'involute' describes a curve traced by a point on a taut string as the string is unwound from a fixed curve or geometric shape (like a circle). More broadly, 'involute' can also be used figuratively to depict something that is spiraling inwards, becoming increasingly complex or convoluted, or undergoing a process of decline or deterioration. It can describe patterns of development, thought processes, or even societal trends. It implies a sense of complexity, either in its physical manifestation or conceptual representation, and often suggests a winding or spiraling path. The term often carries a connotation of entwinement or a gradual change, whether positive or negative depending on the context of its use. Furthermore, it can refer to a curve of a cycloid shape, or of the action of winding something up. This definition encompasses both its concrete, technical sense and its abstract, metaphorical applications.
Involute meaning with examples
- The engineer meticulously calculated the involute of the gear teeth to ensure smooth and efficient power transfer in the machine. This precision was crucial for optimal performance and durability. Without understanding the exact involute shape, the gears would grind and wear out quickly, leading to failure.
- The detective found the investigation's plot involute, the threads of deceit winding together until the truth seemed impossible to unravel. Every clue led down a rabbit hole of new evidence, further complicating the case and obscuring the facts.
- As the company's financial situation deteriorated, the management structure became increasingly involute, with layers of bureaucracy and red tape hindering progress. Decisions were delayed, and resources were wasted due to the convoluted processes.
- The artist sought to depict the intricate involute of a nautilus shell in their sculpture. They wanted to capture the delicate balance of mathematical precision and organic growth embodied in the nautilus, reflecting the harmony in its natural design.
Involute Crossword Answers
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