Term
Any two points along a streamline in an ideal fluid in steady state flow, the sum of pressure, the potential energy per unit volume, and the Kinetic energy per unit volume has the same value |
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Definition
Bernoulli's Energy Theorem |
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Term
The force between two charges directly varies as the magnitude of each charge and inversely as the square of the distance between them. |
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Definition
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Every integer greater than two can be written as the sum of two prime |
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Definition
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Term
Every positive integer greater than 1 is a prime or can be expressed as a unique product of primes and powers. |
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Definition
Fundamental Theorem of Arithmetic |
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Term
A theorem which states that if n>2 the equation x^n + y^n = s^n cannot be solved in positive integers x,y, and z. |
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Definition
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Term
Every sufficiently large numbers can be expressed as a sum of these prime numbers. |
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Definition
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Term
If external pressure is applied in a confined fluid, the pressure will be increased at every point in the fluid by the amount of external pressure. |
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Definition
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Term
A sequence of numbers where the numbers are equal to the sum of the two preceding numbers such as 1,1,2,3,5,8,13,21,.... |
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Definition
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Term
Theorem in every arithmetic progression a,a+d,a+2d... |
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Definition
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Term
Method of solving linear equation with several unknowns simultaneously using determinants |
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Definition
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Term
Study of the properties of positive intergers. |
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Definition
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Term
Most proved theorem in mathematics. |
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Definition
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Term
Least proved theorem in mathematics. |
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Definition
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Equation used for checking the solution of plane triangle |
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Definition
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Term
States that sine of any middle part is equal to the product if the cosine of the opposite parts. |
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Definition
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Term
States the sine of any middle part is equal to the product if the tangent if the adjacent part |
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Definition
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Term
Also known as the composite function rule. |
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Definition
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Term
The area of the surface generated by rotating any place curve about a certain axis in its plane is equal to the product of the length of the arc and the distance travelled by its centroid. |
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Definition
First Proposition of Pappus |
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Term
The volume of any solid is equal to the generating area times the circumference of the circle described by the centroid of the area. |
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Definition
Second Proposition of Pappus |
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Term
The moment of resultant force of two concurrent forces with respect to a center of their planes is equal to the algebraic sum of the moments of the components with respect to the same center. |
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Definition
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Term
A body immersed in a fluid is subjected to a buoyant force which is equal to the weight of the fluid displaces. |
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Definition
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Term
Law which describes the motion of stars, planets and comets |
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Definition
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Term
Newton's First Law of Motion |
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Definition
A body in its state of rest or at constant speed in a straight line in motion is compelled to change that state because of forces acting on it. |
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Term
Newton's Second Law of Motion |
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Definition
an unbalanced force acting on an object will cause the object to accelerate in the direction of the force. Similar to d'Alembert's Principle F=ma |
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Term
Newton's Third Law of Motion |
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Definition
for every action there is always an equal and opposite reaction. |
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Term
Kepler's First Law (Law of Ellipses) |
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Definition
the path of the planets about the sun is elliptical in shape, with the center of the sun being located at one focus. |
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Term
Kepler's Second Law (Law of Equal Areas) |
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Definition
an imaginary line drawn from the center of the sun to the center of the planet will sweep out equal areas in equal intervals of time. |
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Term
Kepler's Third law (Law of Harmonies) |
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Definition
The Ratio of the squares of the periods of any two planets to the ration of the cubes of their distances from the sun. |
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