Theorem1
In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angle..
Theorem 5
Statement - The sum of the three angles of a triangle is 180 o..
Statement - The sum of the three angles of a triangle is 180 o..Theorem 1
Theorem 1 - In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angles. ABCDE is an n sided polygon. The sum of the interior angles = (2n - 4) right angles Take any point O inside the polygon. Join OA, OB, O..
Theorem 1 - In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angles. ABCDE is an n sided polygon. The sum of the interior angles = (2n - 4) right angles Take any point O inside the polygon. Join OA, OB, O..Corollary of Theorem
If one side of a triangle is produced, the exterior angle so formed is equal to the sum of the interior opposite angles. In ABC, BC is produced to D. If in a triangle ABC, the bisectors of the angles ABC and ACB meet at M, pr..
If one side of a triangle is produced, the exterior angle so formed is equal to the sum of the interior opposite angles. In ABC, BC is produced to D. If in a triangle ABC, the bisectors of the angles ABC and ACB meet at M, pr..Pythagoras' Theorem
In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. ABC is a triangle with BAC = 90 o . BC 2 = AB 2 + AC 2 . On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively. Draw AMN parallel to ..
In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. ABC is a triangle with BAC = 90 o . BC 2 = AB 2 + AC 2 . On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively. Draw AMN parallel to ..Bernoulli's Theorem
This theorem is a consequence of the principle of conservation of energy, applied to ideal liquids in motion. The theorem states that: For the streamline flow of an ideal liquid, the total energy (sum of pressure energy, potential energy and kinetic energy) per unit ma..
This theorem is a consequence of the principle of conservation of energy, applied to ideal liquids in motion. The theorem states that: For the streamline flow of an ideal liquid, the total energy (sum of pressure energy, potential energy and kinetic energy) per unit ma..Theorem 2 (Converse of Theorem 1)
A Corollary is an easy consequence of a theorem. It two lines intersect, then the vertically opposite angles so formed are equal, and When a number of lines meet at a point, the sum of the angles so formed is four right angle..
A Corollary is an easy consequence of a theorem. It two lines intersect, then the vertically opposite angles so formed are equal, and When a number of lines meet at a point, the sum of the angles so formed is four right angle..Poisson Distribution as a Limiting Form of the Binomial Distribution
We shall now deduce the Poisson distribution from the binomial distribution by assuming that n and p 0 such that the product np always remains finite, say l . We shall now use a very important result of limits in Calcu..
We shall now deduce the Poisson distribution from the binomial distribution by assuming that n and p 0 such that the product np always remains finite, say l . We shall now use a very important result of limits in Calcu..Perpendicular Axis Theorem
This is applicable only to a plane lamina. The moment of inertia of a plane lamina about an axis perpendicular to its plane is equal to the sum of the moments of inertia of the lamina about any two mutually perpendicular axes, passing in its own plane, intersecting each other at the..
Other forms of Bernoulli's theorem
If the liquid flows trough a horizontal tube, the two ends of the tube at the same level, h=0. i.e., If p increases, then v decreases so that the their sum is a constan..
If the liquid flows trough a horizontal tube, the two ends of the tube at the same level, h=0. i.e., If p increases, then v decreases so that the their sum is a constan.. Result
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