cycloids
Wheel-traced arcs
Cycloids are crustaceans of the order Cyclopoida—small, often microscopic copepods found in freshwater and marine environments.
They serve as food for fish larvae and sometimes as intermediate hosts for parasites.
In geometry, a cycloid is the curve traced by a point on a circle's rim as it rolls along a straight line.
The mathematical cycloid fascinated early physicists studying pendulums and falling bodies.
Curve from rolling circle
- cardioidHeart-shaped geometric curve
- astroidFour-pointed geometric curve
- involuteCurve traced while unwinding
- catenaryGravity-formed suspension curve
roulette · cusp · spirograph · inflection point · arc length · tangent · normal · rolling circle
Equal time between occurrences
- HuygensSeventeenth-century Dutch astronomer
- oscillationRepeated back-and-forth movement
- trajectoryPath of moving object
- harmonic motionPeriodic movement around equilibrium
equal time · gravitational · potential energy · kinetic energy · inclined plane · Galileo
Projections enabling mechanical engagement
- mechanical advantageForce output over input
- reducerSomething that lessens
- actuatorDevice producing controlled motion
- blowerWind-producing device
Wired telephone connection
- circular motionTravel along curved path
- rotationTurning on an axis
- revolutionViolent governmental overthrow
- wheel rimOuter edge of hub
hoop · circumference · radius · diameter · contact point · arch · vertex
trochoid
Curve from rolling circle
- cardioidHeart-shaped geometric curve
- astroidFour-pointed geometric curve
- involuteCurve traced while unwinding
catenary · roulette · cusp · spirograph · inflection point · arc length · tangent · normal · rolling circle
isochronous
Equal time between occurrences
- HuygensSeventeenth-century Dutch astronomer
- oscillationRepeated back-and-forth movement
- trajectoryPath of moving object
harmonic motion · equal time · gravitational · potential energy · kinetic energy · inclined plane · Galileo
gear teeth
Projections enabling mechanical engagement
- mechanical advantageForce output over input
- reducerSomething that lessens
- actuatorDevice producing controlled motion
fixed line
Wired telephone connection
- circular motionTravel along curved path
- rotationTurning on an axis
- revolutionViolent governmental overthrow
wheel rim · hoop · circumference · radius · diameter · contact point · arch · vertex
cycloidsconic sections
Curves from plane-cone intersections
straight lines · polygons · ellipses · parabolas · hyperbolas