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Plumbing Arithmetic
Definition of Terms 7
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Graduate
03/29/2025

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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
Definition
Bernoulli's Energy Theorem
Term
The force between two charges directly varies as the magnitude of each charge and inversely as the square of the distance between them.
Definition
Coulumb's Law
Term
Every integer greater than two can be written as the sum of two prime
Definition
Goldbach Conjecture
Term
Every positive integer greater than 1 is a prime or can be expressed as a unique product of primes and powers.
Definition
Fundamental Theorem of Arithmetic
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.
Definition
Fermat's Theorem
Term
Every sufficiently large numbers can be expressed as a sum of these prime numbers.
Definition
Vinogradov's Theorem
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.
Definition
Pascal's Law
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,....
Definition
Fibonacci Theorem
Term
Theorem in every arithmetic progression a,a+d,a+2d...
Definition
Dirichlet Theorem
Term
Method of solving linear equation with several unknowns simultaneously using determinants
Definition
Cramer's Rule
Term
Study of the properties of positive intergers.
Definition
Number Theory
Term
Most proved theorem in mathematics.
Definition
Pythagorean Theorem
Term
Least proved theorem in mathematics.
Definition
Fermat's Theorem
Term
Equation used for checking the solution of plane triangle
Definition
Moilweide's Equation
Term
States that sine of any middle part is equal to the product if the cosine of the opposite parts.
Definition
Napier's Rule
Term
States the sine of any middle part is equal to the product if the tangent if the adjacent part
Definition
Napier's Rule
Term
Also known as the composite function rule.
Definition
Chain Rule
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.
Definition
First Proposition of Pappus
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.
Definition
Second Proposition of Pappus
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.
Definition
Varignon's Theorem
Term
A body immersed in a fluid is subjected to a buoyant force which is equal to the weight of the fluid displaces.
Definition
Archimedes Principle
Term
Law which describes the motion of stars, planets and comets
Definition
Kepler's Law
Term
Newton's First Law of Motion
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.
Term
Newton's Second Law of Motion
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
Term
Newton's Third Law of Motion
Definition
for every action there is always an equal and opposite reaction.
Term
Kepler's First Law (Law of Ellipses)
Definition
the path of the planets about the sun is elliptical in shape, with the center of the sun being located at one focus.
Term
Kepler's Second Law (Law of Equal Areas)
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.
Term
Kepler's Third law (Law of Harmonies)
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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