Sentences with PROLATE-CYCLOID
Check out our example sentences below to help you understand the context.Sentences
1
"A prolate cycloid is a curve traced by a point on the circumference of a circle as it rolls along a straight line."
2
"The equation of a prolate cycloid is parametrically given by x = a(t - sin(t)), y = a(1 - cos(t)), where a is the radius of the generating circle."
3
"The prolate cycloid is a special case of a cycloid, where the generating circle is larger than the line along which it rolls."
4
"The prolate cycloid has the property that the length of the tangent to the curve at any point is equal to the radius of the generating circle."
5
"The prolate cycloid is symmetric with respect to the x-axis."
6
"One real-life example of a prolate cycloid is the path traced by a point on a rolling bicycle tire."
7
"The prolate cycloid is also known as a curtate cycloid."
8
"The prolate cycloid has applications in mechanical engineering and physics."
9
"The prolate cycloid is a transcendental curve."
10
"The length of the arc of a prolate cycloid between two points is given by a concise mathematical formula."
11
"The prolate cycloid has an interesting property of constant negative curvature."
12
"The prolate cycloid is used in some clock mechanisms to provide a smooth and constant motion."
13
"The prolate cycloid is a periodic curve."
14
"The prolate cycloid can be parameterized by the angle through which the generating circle has rotated."
15
"The prolate cycloid has been studied by many mathematicians throughout history."
16
"The prolate cycloid is the basis for the design of some roller coasters."
17
"The arc length of a prolate cycloid segment can be easily calculated using calculus."
18
"The prolate cycloid is a non-algebraic curve."
19
"The prolate cycloid was first studied by Mersenne in the 17th century."
20
"The prolate cycloid has an elegant geometric construction."
1
"A prolate cycloid is a curve traced by a point on the circumference of a circle as it rolls along a straight line."
2
"The equation that describes a prolate cycloid is x = a(t-sin(t)), y = a(1-cos(t))."
3
"A prolate cycloid is a special case of a trochoid where the radius of the generating circle is greater than the radius of the fixed circle."
4
"The prolate cycloid has a cusp at its highest point."
5
"A prolate cycloid can be represented parametrically by the equations x = a(t-sin(t)), y = a(1-cos(t))."
6
"The area enclosed by one arch of a prolate cycloid is three times the area of its generating circle."
7
"The prolate cycloid is the solution to the brachistochrone problem in the case of a descending curve."
8
"The prolate cycloid is symmetrical about its vertical axis."
9
"A prolate cycloid is a type of roulette curve."
10
"The prolate cycloid is the curve that represents the path of a point on the rim of a wheel as it rolls along a straight line."
