Sentences with CYCLOID
Check out our example sentences below to help you understand the context.Sentences
1
"The cycloid is a curve that is traced by a point on the circumference of a circle as it rolls along a straight line."
2
"The cycloid is a classic geometric shape that appears in many mathematical and physical contexts."
3
"The path of a point on a wheel rolling on a flat surface is a cycloid."
4
"The cycloid has been studied by mathematicians since ancient times."
5
"The cycloid has interesting properties related to its area and arc length."
6
"The cycloid is an example of a roulette, a curve traced by a point attached to a given curve as it rolls without slipping."
7
"The cycloid was first described by the Greek mathematician and engineer Apollonius of Perga."
8
"The cycloid is a periodic curve with a single loop."
9
"The cycloid can be defined parametrically using trigonometric functions."
10
"The equation of a cycloid in Cartesian coordinates involves both sine and cosine functions."
11
"The cycloid has applications in physics, such as modeling the motion of projectiles."
12
"The cycloid is related to the brachistochrone curve, which is the curve of fastest descent under gravity."
13
"The cycloid has been used in the design of certain types of cam mechanisms."
14
"The cycloid is an example of a trochoid, a family of curves generated by a point on a circle rolling along a curve."
15
"The geometrical properties of the cycloid have fascinated mathematicians for centuries."
16
"The cycloid is a non-algebraic curve, meaning it cannot be described by a finite number of algebraic equations."
17
"The motion of a pendulum can be approximated by a cycloid for small oscillations."
18
"The cycloid is symmetrical about its vertical axis of symmetry."
19
"The cycloid is an example of a transcendental curve, a curve that cannot be described by any algebraic equation."
20
"The length of one arch of a cycloid is eight times the radius of the generating circle."
1
"The cycloid is a curve traced by a point on the circumference of a circle as it rolls along a straight line without slipping."
2
"The path of a swinging pendulum often approximates a cycloid."
3
"The cycloid is a type of curve in mathematics."
4
"The equation for a cycloid can be expressed parametrically."
5
"The cycloid has been studied since ancient times."
6
"Many physical phenomena can be described by the cycloid curve."
7
"The shape of a bicycle wheel is similar to a cycloid."
8
"Some planetary orbits can be approximated by cycloids."
9
"The cycloid curve has applications in engineering and physics."
10
"A cycloid is a specific type of trochoid curve."
