law of tangents proof

Consider a circle with centre O and radius r. Join AB. Let the tangent at B meet OA produced at P. Draw BN perpendicular to OA. From ONB, BN = r sin q From OBP, BP = r tan q From the figure, we have Area of triangle OAB < Area of sector OAB < Area of triangle OBP ..

Observe that last two columns are identical. Observe that last two columns are identical..

the field at all points on the circle and the direction is given by the tangent drawn to the circle at that point. i.e., the flux is equal to the times the current threading through the area bounded by the circle. Hence, Ampere circuital law can be stated as follows "The li..

Verification of Laws of Reflection on the basis of Huygen's Wave Theory..

If B is everywhere tangent to the integration path and has the same magnitude B at every point on the path, then its line integral is equal to B multiplied by the circumference of the path. If B is everywhere perpendicular to the path, for all or some portion of the path, that portio..

>The first law of thermodynamics has no theoretical proof. But based on human experience and scientific observation that energy is always conserved though it may change its form, the validity of this law is justifi..

Construction of sound proof rooms for noisy machines in industries. Use of horns with jarring sounds to be banned. Noise producing industries, aerodromes, and railway stations to be shifted away from the inhabited areas. Proper law should be enforced to check the misu..

>In the early seventeenth century the German astronomer, Johann Kepler, had shown that the planets move in elliptical paths or orbits round the sun, but he was unable to explain why. It was left to Sir Isaac Newton to offer a satisfactory explanation based on the first law of motion and t..

Consider a block placed on a rough floor. Now, the reaction force is because it is equal and opposite to the weight . Now apply a horizontal force so that the block just begins to slide, i.e., the frictional force is equal to the limiting friction. When this condition is satisfied, the ang..